Find the directional derivative of f at P in the direction of a vector making the counterclockwise angle with the positive x-axis. ㅠ f(x, y) = 3√xy; P(1,4); 0= 3 NOTE: Enter the exact answer.

Q: Use any method to find the volume of the solid generated by revolving the region bounded by the…

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Q: If one card is randomly selected from a deck of cards, what is the probability of selecting a king…

A: Probability:- The field of probability deals with the numerical representation of the likelihood…

Q: Find the parametric equations of the intersection of the planes x + (y − 9) + z = 0 and −x + (y + 9)…

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Q: Compute the directional derivative of the following function at the given point P in the direction…

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Q: Telephone numbers in the United States begin with three-digit area codes followed by seven-digit…

A: Given: Number of digits in area code = 3 Number of digits in  local telephone number = 7 Total…

Q: Use the Fundamental Counting Principle to solve:A television programmer is arranging the order that…

A: Fundamental Counting Principle:- The fundamental counting principle is a rule used to count the…

Q: 5₁ 4 2 7777 Find Find 7/2 Q The graph of the function f(x) = sec x is given above for the interval x…

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Q: The graph of the polynomial f(x) is given below. If f(x) has degree 3, find the factored equation…

A: One root is -2 and this graph touches the x-axis at x=4 so this is repeated root of f(x)

Q: cample: y = √sin(x4 - 6x) find 11-Sin(x

A: Given function:- y=sinx4-6x

Q: Assume that ƒ(x) is everywhere continuous and it is given to you that ƒ(2) = −7 and f(x)+7 lim x→2…

A: Given query is to find the equation of the tangent

Q: 5. Bernoulli's Equations b. 2x³y' = y(y² + 3x²)

A: 2x3y' =yy2+3x2

Q: Find the tangent equation to the a function x²+4y²-8=0 which is parallel to x-2y=-8. x-2y + 8 = 0…

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Q: Use polar coordinates to find the volume of the given solid. V = Inside the sphere x² + y2 + z² = 25…

A: Given sphere x2+y2+z2=25 And cylinder x2+y2=1

Q: Find the derivative using trigonometric identities: 1. f(x) = 2 sec(x) - 7 cot(x)

A: Dear student, as per Bartleby policy we are allow to solve one doubt at a time.please repost other…

Q: E. Generate solution of the first-order differential equations using 1. Separation of variables/…

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Q: Find dy/dx using partial derivatives  cos(x-y) = xe^y

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Q: Figure shows a U.S. roulette wheel that has 38 numbered slots 1 through 36, 0, and 00. Of the 38…

A: Given data, No. of cards drawn 1. First spin ......Probability of occurring red n(A)=18 Second…

Q: Simplify the expression to a single trigonometric function. cot (t) csc(t)

A: cot(t)=cos(t)sin(t)csc(t)=1sin(t)

Q: When the constant "c" is eliminated in the relation 2y² + xy = ex², which of the following is the…

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Q: A function F (x,y) is said to be homogeneous of degree n if F(yx, yy) = y"F(x,y) Determine which of…

A: (8) The differential equation is given as , 2xsinyx+2xtanyx-ycosyx-ysec2yxdx+xcosyx+xsec2yxdy=0…

Q: Let f(x) = √√4x² 4x² + 3x + 5

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Q: Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid…

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Q: 9x²9x + 54 x³ + 3x 1² dx

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Q: It has been found that a worker new to the operation of a certain task on the assembly line will…

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Q: Compute the first three derivatives of f(x) and then state the formula for the nth derivative of…

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Q: 6 5 4 3 نا 2 1 ¦ y = f(x) 01 2 3 Enter each answer as a whole number or a fraction, or DNE for Does…

A: The graph of the function is To evaluate: The values of limx→3+fx-4fx+4, limx→3-ffx+4 and…

Q: True or False The slope of a nonvertical line is the averagerate of change of the linear function.

A: The average rate of change of the linear function is the slope of a nonvertical line.

Q: A cross section of the parabolic mirror in a car headlight is y² = 32x. Where should the bulb be…

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) 5.…

A: The given equation is; 6y2dx - x(2x3+y)dy=0.

Q: Set f(x) = 1 7x³ + 3x + 2 . (1, 1/12) is on the graph of ƒ. Find (ƒ-²¹) (¹2). The point 1,

A: The solution to find the value of inverse of f(x) at 1/12 is as follow.

Q: Rewrite the following quadratic function in vertex form f(x) = a(x − h)² + k. f(x) = 6x² - 6x +1…

A: Given query is to find the quadratic form of the function n

Q: 1. Find the average rate of change of f(x) = x² -2 on the interval [-4, 8]. Then find the x-value…

A: To find out the average rate of change of function on the interval.

Q: On the day of a child’s birth, a deposit of $P is made in a trust fund that pays 8.75% interest,…

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Q: {²22-1 xx² if x ≤ 3 if x > 3 Calculate the following limits. Enter "DNE" if the limit does not…

A: Given query is to find indicated limits.

Q: Use the formula for nCr to evaluate the expression 12C5.

A: Given: the given expression n: 12C5. Formula Used: Crn = n!r!(n-r)!

Q: Straight-line Depreciation Suppose that a company has justpurchased a new machine for its…

A: Note:- Slope intercept form of line: y =mx +b             Here, m is the slope of line.   Given…

Q: Example 2 (Calculator Active): For 0 ≤ t ≤ 10 days, the rate that a company sells t shirts, in 100's…

A: Given query is to find the rate shirt sold after 5 days .

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

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Q: Let f(x) be the function 9 x² − 3 x + 4. Then the quotient a = Number and b = Number f(4+h)-f(4) h…

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Q: Determine whether the planes are parallel or identical. -7x + 2y - 9z = 7 21x 6y + 27z = 20 The…

A: The given planes are: P1:   -7x+2y-9z=7           and          P2:   21x-6y+27z=20

Q: Use any method to find the volume of the solid generated by revolving the region bounded by the…

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Q: x+2 2x²+5x+2 11. Find all x values at which f(x) discontinuity and redefine the function to make it…

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Q: Describe the end behavior of the function f(x) = -4x³ + 18x² - 110. Provide your answer below: As x…

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Q: In the triangle shown above, if increases at a constant rate of 3 radians per minute, at what rate…

A: According to given problem dθ/dt = 3 radians/minute                                           ---…

Q: e the chain rule to find the derivative of f(x) = 4√/10x¹⁰ + 6x6 e your answer without fractional or…

A: Given query is to find indicated derivatives.

Q: Graph the upper branch of the hyperbola y2 - 16x2 = 1.

A: Given the equation of hyperbola:- y2-16x2=1

Q: Use the formula for nCr to evaluate the expression 11C4.

A: Given data:- Here, n=11, r=4 Use formula:- Crn=n!r!(n-r)!

Q: [csc x]=-csc x cot x by using the relationship of CSC X=

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Q: Use the formula for nPr to evaluate the expression 9P4.

A: Given: The given expression is: 9P4. n = 9 r = 4 Formula Used: Prn = n!(n-r)!

Q: Derive a formula for tan (A - B).

A: To derive:- tanA-B