Determine the limAz →0 O None of the choices O -3 01 00 f(x+Ax)-f(x) where f(x) = 4x - 3.

Q: The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change…

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Q: These are the following jokes about books:. “Outside of a dog, a book is man’s best friend. Inside…

A: Concept Used: Combination formula Crn=n!(n-r)!r! Crn= Number of combinations n=total number of…

Q: ja Na2+x3JZ X dx

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Q: Use a contour map of f(x, y). 4. 2. 0 -2 7 -20 B B C O A -10 70 50 30 LLL 10 0. 10 C -30 -10 2 .30…

A: Given a contour map with value of each component as A=30, B= 20, C=-10 for f(x,y) We have to choose…

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions.…

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Q: Calculate the tangent line to y=2v cosv - e at v= pi/2.

A: Calculate the tangent line to y=2v cosv - e at v= pi/2

Q: Let P(n) denote the propositional function 2n + 1 is an even integer with domain of discourse the…

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Q: a. xy³ dx + (y + 1)e¯*dy = 0

A: xy3dx+y+1e-xdy=0

Q: 3. Multiply: (-2-7)(-2+71)

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Q: Find the indicated derivative. f'(8) = If f(x) = 3 6x2 48 3 find f'(8). VX

A: Given query is to find the derivative.

Q: II TE [] # # # H # # I 1 10 OK E II I H II I # I #I HI T # I # I 1 # 5 10

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Q: Compute the first-order partial derivatives of the function. z = (Use symbolic notation and…

A: To find the first order partial derivatives.

Q: ● The term marginal is used in business and economics to indicate a rate of change, and therefore, a…

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Q: dy For items 13-14, consider the function y=√ 6x-2 whose derivative is given by dx 3₁√/6x-2 2(3x -…

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Q: f(x)=(lnx)^2 f′(x)= f′(e^2)=

A: Topic- Derivative of a function We are given, f(x)=(ln x)2 We know that ddx(ln x)=1xddxxn=nxn-1

Q: a. Use implicit differentiation to find the derivative b. Find the slope of the curve at the given…

A: Topic-Implicit differentiation We are given, 2xy+5y=13And we know thatddxu·v=uv'+vu'ddxxn=nxn-1

Q: f(x)= 9x x2+8x + 15 Vertical asymptotes: x= -3, x=-5; Horizontal asymptote: y = Vertical asymptotes:…

A: Topic:- application of derivatives and calculus

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√3-X²

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Q: Let f(x) = x-4. You apply (in the order given) all of the following transformations to f(x) to get…

A: Given query is to apply the transformation and find the new function.

Q: How to Graph a Quadratic Function by HandUsing Its PropertiesGraph f1x2 = - 3x2 + 6x + 1 using its…

A: Concept used: Basic properties of the function Domain: The domain of the expression is all real…

Q: 2. Find the zeros of each function f(x)=x² +7 f(x)=x²-4 f(x)=9x² + 1

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

Q: Evaluate the integral. 82 (x - 1)(x² +81) dx

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Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

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Q: Find the derivative of the function. f'(x) = = f(x) = 8 √x 16x5 5 + 1

A: We use d/dx(xn)= nxn-1.

Q: Calculate the lengths of all of this triangle's sides. X = y = Z= 64 cm² y x 225 cm²

A: area of square = (side)2

Q: Solve the ff. first order DE using Separation of Variables 2 a. xy¹dx + e*dy = 0

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Q: using method of joints

A: Given differential equation is (4x3y-18x2+y)dx+(x4+3y2+x)dy=0

Q: Variables

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Q: Solve the ff. first order DE using Exact Equations a. (x + y)dx + (x − y)dy = 0 - b. (y² − 2xy +…

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Q: For the given function, find all as f(x) = 2 Ex 7x² + 12x - 4 +1

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Q: Use implicit differentiation to find the slope of the tangent line to the curve 2xy³ + 3xy = 5 at…

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Q: For the equation given below, evaluate y' at the point (1, −2). (6 + y)³ + 4y = x + 55.

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Q: f(x)=2ln(6x) f′(x)= f′(2)=f

A: Given query is to find the derivative.

Q: In Exercises 39–42, express the given quantity in terms of sin x and cos x. 39. cos (7 + x) 40. sin…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Solve the ff. first order DE using Exact Equations a. (x + y)dx + (x −y)dy = 0

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: find the distance d between the points P1 and P2.

A: Given data:- The given points, P1 (0, 0) The given points, P2 (2, 1)

Q: Differentiate y with respect to a y cos²(a) + y sin²(a) = (cos(a)+37)² Select one: O a. y' =…

A: ycos2a+ysin2a=cosa+372

Q: f(x)=ln(x^5) f′(x)= f′(e^3)=

A: Given query is to find indicated derivative.

Q: 4. (16x + 5y)dx + (3x + y)dy = 0, when x = 1 and y = -3

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Q: Solve the ff. first order DE using Separation of Variables 2 b. x²dx + y(x − 1)dy = 0

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Q: The population of Silver Run in the year1890 was 6250. Assume the population increased at a rate…

A: Given: Initial population in 1890:  P0=6250 Growth rate: r=2.75%   (a) To estimate the population in…

Q: In Exercises 55 and 56, solve for k. 55. a. e = 4 b. 100e10k = 200 c. /1000 = a 56. a. ek = - 4 c.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 4x² . Let y=f(x) = 4x+1

A: Topic:- application of derivatives

Q: An airplane is flying in still air with an airspeed of 250 miles per hour. The plane is climbing at…

A: Given query is to find rate of change of height.

Q: If f(x) = (4x + 1)5, compute the second derivative f"(0) : =

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Q: Answer parts (a)-(e) for the function shown below. f(x)=x³ - 2x²-x+2 a. Use the leading coefficient…

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Q: Evaluate the integral: X = √36 6 sec (0) 0x = - (A) Which trig substitution is correct for this…

A: we can evaluate the integral by using the substitution x= 6 sin(θ)

Q: 4. Let V be a finite-dimensional vector space and let S be a subset of V which spans V. Then S a.…

A: Given that, V be a finite dimensional vector space and S be a subset of V which spans V. We have to…

Q: f6sin(x) cos(x)'dx.

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