Find the area of the region that is enclosed between y = 11x? – 2³ + x and y = x? + 25x. The area is 310.2769

Q: Evaluate the given imit 1. lim (x-1)? 2 メ→! In x 2. lim 3X - 2 × 3. lim (4x+1) ot x

A: As per guidelines, I can answer only one question. Since you have asked for multiple, So I did first…

Q: X-1 4 = = 2 – y = z 2 y-2 z-1 12 = x = -1, 3 2 Show that these are skew lines.

A: To show that the given lines are skew lines.

Q: 4. State whether the given measurements determine zero, one, or two triangles. A = 43° a = 8 b= 10…

A: We will use Sine /Cosine rule to find the triangle.

Q: 2 2(3)' Find: i=1

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Q: Use properties of limits to find the indicated limit. It may be necessary to rewrite the expression…

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Q: Find the given limit. lim (-x + 2x- 1) x-5 lim (-x +2x-1) = (Simplify your answer) X-5

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Q: Write a in the form a = a-T+anN at the given value of t without finding Tand N. r(t) = (2t + 3)i +…

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Q: 7. Let f(x) - -ar + 9x -3. a. Determine thex-values where f"(x) = 0. b. Fill in the table below to…

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Q: Find an equation for the plane through the points (3, 4, 33), (2,1 -2), (0, 1, –1). The plane is

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Q: Determine the antiderivatives of the following functions: 1. V36-x² dx 2. 9x²+36dx

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Q: 5. Use Linear Approximation to estimate e(-0.01). Provide your answer in 2 decimal places. Do not…

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Q: Jse symmetry arguments or similar to find the total charge in sphere of radius Rothat has charge…

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Q: 7. How should the function f(x) = be defined so that it will be continuous at x = -1? (B) f(-1) = 0…

A: We have to find the value of f(-1). Also we have to find the interval in which function is…

Q: 27. Find the magnitude of the resulting force. Round to the nearest Newton. B: 11.1 N, 111° A: 10.0…

A: Solution: Given

Q: 1 1. lim x-0+x e*

A: Given: limx→0+1x-1ex-1   So, simply we can write as; limx→0+1x-1ex-1=limx→0+ex-1-xxex-1

Q: Q.2) The basts of the equatioon y'' + y" = 0,are: b) 1,1.e a) 1,1.e c) 1, x,e²* d) 1,x.e" 0 about

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Q: x+729 If k(x) = complete the table and use the results to find lim k(x). X+9 X-9 -9.1 -9.01 -9.001 -…

A: Using L hospital rule find limit

Q: Find each limit. Use - o or ∞ when appropriate. 4x-4 f(x) = - (x- 4)? (A) lim f(x) (B) lim f(x) (C)…

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Q: Related Rates A rock is thrown into a still pond. The circular ripples mové outward from the point…

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Q: Determine the antiderivatives of the following functions: 1. V36-x² dx 2. J 9x2+36dx 1 S- x In…

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Q: Use your calculator to find the area shown in RED. 8 f(x) = sec(.5x+2) + 2 tan(.5x + 2) +3 Round the…

A: The region is bounded by the curve,fx=sec.5x+2+2tan.5x+2+3 from x=0 to x=5

Q: Let A = (1,0, 1) and B = (0, 1, 3). Solve for projaB. %3D

A: This question is based on vector projection.

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = x =…

A: P(x) has roots of multiplicity 2 at x=1 so (x-1)2 is a factor of P(x).  P(x) has roots of…

Q: a) Eliminate the parameter to find a (simplified) Cartesian equation for this curve. (b) Sketch the…

A: We have to find a Cartesian equation for this curve and sketch the parametric curve.

Q: e cost of sending a large envelope via first-class mail is $0 73 for the first ace and $0.18 for…

A: Given query is to find the Indicated limit form the graph.

Q: 2x determine the derivative of f(x) = 3 X

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Q: -2 Let -1 <r< 1, the series r na" is the power series representation of the n-1 function

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Q: 2x2 - 9x-5 Let f(x) = Find the indicated quantities, if they exist. x +x- 30 (A) lim f(x) (B) lim…

A: We have to find the limit

Q: Next qu Classify the statement as either true or false. If lim F(x) exists, then F could be…

A: We have to find out the continuous property

Q: QV Optimize the function Z = xị + xị Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange multipliers.

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Q: L. Find the point/s of intersection of each of the following figures given below, draw the element…

A: Given: Now find the point of intersection between the curve y=x2+2 and the line x=2. y=x2+2 ;…

Q: Problem 2 Let f(x) = and g(x) = /3x +2. (a) Find the domain of y = f(x). (b) Find the domain of y =…

A: We have to find domains

Q: The limit lim (x - cos) x00 is an indeterminate form of type 0 . o. Select one: OTrue O False

A: Topic:  Indeterminate form of limit

Q: x+6 lim 2. X6 X -36

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Q: Find the number(s) b such that the average value of f(x): f(x) = 6x2 42x + 70 on the interval (0, 6…

A: To find the value b.

Q: n-1 Consider the series n=1 Find the sum. If it doesn't exist enter "DNE"

A: We have to find out the sum

Q: Solve the initial value problem forr as a vector function of t. d'r - 2k dr? Differential equation:…

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Q: 1. Consider a point in Cartesian coordinates given by (-2, 2v3, 4). (a) Find a corresponding…

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Q: f(x) = 8 cos Tx

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Q: 13. The distance s, in metres, fallen by a skydiver t seconds after jumping (and 160(:1 – 1 + e-5.…

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Q: S tan“ x sec“ x dx

A: Given query is to find the value of the integral.

Q: Let C be the cost to produce x batches of widgets, and let Rix) be the revenue in thousands of…

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Q: Refer to the figure below to find the limit lim f(x). X - 00 3.5- 2.5- 1.5- 1- 0.5- 2.

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Q: Find the nth term of the given infinite series for which n= 1, 2, 3, ... 1 1 +... 2x6 3x7 4x8 5x9 an…

A: Given 12×6-13×7+14×8-15×9+.....n is from 1,2,......... to infinity

Q: Find the Indeftnite Integral and check the result by differentiation. (5x) Step 1 To obtaln the…

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Q: The area of the region that lies to the right of the y-axis and to the left of the parabola æ = 2y –…

A: topic- Area bounded by curves

Q: 3. A girl is flying a kite on a string. The kite is 120 ft. above the ground and the wind is blowing…

A: To solve this problem we use pythagorous theorem.

Q: x = 2 + 5 cos t Consider the parametric equations for 0<t<r. y = 8 sin t (a) Eliminate the parameter…

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Q: Given f'(x)=-+e²2* +x² and_f (1) = +x*and f(1)=. Find f(x) 5.

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Q: A = (Round to thế heares There is no solution. e the value of a. Select the correct choice below…

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