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Q: Question 1 What is f' (a) ? O The inverse function of f at a O The average rate of change of f at a…

A: Given problem:- what is f'(a) ?

Q: Eliminate the arbitrary functions and hence obtain the partial differential equations:   z = f(x *…

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Q: 2 - x Determine all points at which f(x) = is differentiable. Justify your answer 2r2 - 8

A: The graph of f(x) is shown below :

Q: The demand function for a product is given below. p = 40 − 4x, 0 < x < 10 (a) Find the price…

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Q: Evaluate the volume of the solid generated by revolving the plane region about an axis. Show the…

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Q: Find the net area and the area of the region bounded by y = 11 cos x and the x-axis between x= - and…

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Q: Find the first partial derivatives of the following function. f(x,y)%3D2x

A: Given,  f(x,y)=2x8y

Q: 3(x +2)" In(n) 2. Consider the power series What is the centre a of this power series? What is n=2…

A: Solve the following

Q: 4. S V tan x sectx dx

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Q: For the following function, make a table of slopes of secant lines and make a conjecture about the…

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Q: The sum of two positive numbers is 40. What are the numbers if their product is to be the largest. A…

A: let the two numbers be "x" and "y "x+y=40 → (1)F(x,y) = xyF(x)= x(40-x)F(x)=40x-x2differentiate…

Q: Demand Function      Quantity Demanded p =  400 x + 3      x = 23 Find the price elasticity of…

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Q: 7 (e* - 1) Reverse the order of integration and then evaluate the integral. 14 dx dy y/7 Í(e4 - 1)…

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Q: Find the net area and the area of the region bounded by y= 11 cos x and the x-axis between x= -: and…

A: Area A = ∫ f(x)dx here limit from -π/2 to π A = ∫-π/2π cosxdx A = [sinx]-π/2π  A = sinπ - sin(-π/2)…

Q: dy x +1 xy %3D dx

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Q: 17. cos 2x + 3sin2x = 4 - 3sin?x %3D

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Q: What are the first four terms of the sequence n+1 00 3n-1 n=1 Select one: 3 2 4 3 O None of the…

A: Given problem:-

Q: Graph the function f(z) = – 2x´ and draw the tangent lines to the graph at points whose…

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Q: alue UI Imtegral | | xyxay is 0 x?

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Q: 2. Find the equation of the tangent line to the curve y = x2 - 2x -3 that is parallel to the line x…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: If the average value of a function f(x) is 3 on the interval [0,1] then the average value of f(x) on…

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Q: c)Test the series Ln =0 3n+1 for convergence or divergence.(write C or D) Answer:

A: This question can be solved by applying ratio test.

Q: 1. Find the eigenvalues and eigenvectors of the matrix. A = ( 3 -4 -3 2

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Q: Find the critical point of the function f(x,y) = 3x2y2 + 2y2 + 2x2. a. (0.82,0) b. (0,0) c.…

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Q: A= 4 B=5 30 - 2 Find the 5 Only) following (chease A+ B (2) 3A -B A 2B (inverse) (leng th or…

A: Solving

Q: Syppose that Ts Cx) centered at a for f(x) is giver by T5 (x) = 3+5(x-2) +8(x-a)?+a(x-2)+ (x-2)5.…

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Q: Evaluate the following limits by constructing the table of values. 1. lim -cos(3t) 3t t--0 f(t).…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: ind the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Given the power series En (n - 1) A, xla + 2) n =1 Use the technique that we covered in this lesson…

A: In this question we shift the index so that the exponent of the power series is simplified .  Note :…

Q: If the limit of the sequence of partial sums of a series converges, so does the series. OTrue False

A: Given data

Q: A triangle with its vertices lie in a circle of radius 13. If the two sides of the triangle are 12m…

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Q: b)Let f(x)=sinx. Calculate the arc length of the graph of f(x) over the interval [0,r]. Answer:

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Q: Justify your answer whether the following functions are continuous or not at a certain point or…

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 2-1)nn…

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Q: onsider that, we have the following initial value problem: y' = et-y, y(0) = 1, 0<t<1 ; se…

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Q: Question 3 Algebraically compute f'(1) using the definition of the derivative, given that f (x) = x2…

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Q: +00 (-1)" The Maclaurin series expansion of tan-1I is given by tan¬ I = (2n + 1) 2n+1 for r €…

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Q: 1. Use implicit differentiation to find an equation of the tangent line to the hyperbola - * = 1 at…

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Q: 1. (-1)*z* (2k)! for |피 < ® COS I = for |피 < 0 Use the power series representations for cos r and e-…

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Q: 5th derivative of y = log x^5 to the base 2

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Zn=1 5"-1 3" is a geometric series. The series True False

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Q: Let F(x) = f(f(x)) and G(x) = (F(x)) You also know that f(9) = 11, f(11) = 2, f'(11) = 2, f'(9) = 8…

A: Solution of question is written in below steps.

Q: Find the gradient of the function at the given point. w = x tan(y + z), (7, 5, –3) vw(7, 5, –3) =…

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Q: C. Solve the following problem. 1.) Find (fg)' if f(4) = 3, f'(4) = 2 , g(4) = -6, and g'(4) = 8.…

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Q: Find an equation of the plane tangent to the following surface at the given point. V3 cos (xyz) =…

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Q: Integration by Partial E 8. S 4x3—х dx х2—х-30

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Q: 3. Find the equation of the tangent line to the curve y = x2 – 3x + 4 that is perpendicular to the…

A: As per the company's guidelines,  we are supposed to solve first question for you,  kindly repost…

Q: Use the chain rule to find the derivative of 4(6æ° – 2")" You do not need to expand out or multiply…

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Q: Find a parametric description r(t) for the following curve. The line segment from (8.2.6) to (5.0.2)

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