Suppose that g is a function that is differentiable at x = 4 and that g(4) = -2 and g' (4) = 1. Find h' (4) h(x) = (x2 + 6)g(x) h' (4) =

Q: Write out the form of the partial fraction expansion for the following functions. Do not determine t...

A: Solution of above question is written in below steps.

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A: Given number is    196

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Q: Which integral would represent the area shown? AY 1.5 1+ 0.5- 0.5 1.5 2 o xd x o 2xd x x³dx 2.

A: Topic = Area

Q: Differentiate each function with respect to x. 3. f(x) = ln (-5x^2/4x^3+1)^2

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Q: (2x - 3 if x0 Sketch this graph on the grid below. Is this function discontiruous? Tf yes, state whe...

A: The given function is,f(x)=2x-3if x≤02+x2if x>0

Q: Find a possible formula for a polynomial of degree four with zeros at (and only at) r -2, 2, 5, and ...

A: topic - polynomials

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Q: Let i = (2, –1, 5) and ū = (5, –7,3). Find 37 – 5ū. %3D - А. (-19, —32, 0) В. (-19, 32, 0) С. (19, —...

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Q: Find cos x + sin 2x dx 19. sin x

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Q: ∫pi/6pi/2 cot2x dx

A: ∫pi/6pi/2 cot2x dx

Q: 15. A father is 27 years older than his son. Ten years from now, he will be twice as old as his son....

A: We are authorized to solve only one question, please repost remaining questions Age problem

Q: f(x) then: f'(x) = f'(1) -

A: We are asked to find the derivatives of the function.

Q: What is the integral of f(x) within the interval [2, 4]? AY 6- O Area = 2.0 O Area = 2.5 O Area = 4....

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Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with (A 3...

A: Given y'' = x  and the curve passes through (1,2)  with a slope of 5/2. which means y(1) =2, y'(1) =...

Q: Use l'Hopital's Rule to evaluate the limit. cos 3x - 1 x2 21) lim x-0 A) - C) 0 D en len

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Q: Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $1...

A: Given query is to make system of equations and solve them to find the number of each ticket sold.

Q: Subtract. Simplify by collecting like radical terms, if possible. 7/7- 11/7 7./7 - 11/7 =O (Type an ...

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Q: If x > 0 and 4 > 0, then 4x > 4(0). Which theorem supports this statement?  A.) If a > b and c > 0,...

A: Given :                 X>0  and 4>0 -----------------------------------(1)                 th...

Q: 15T 1) tan 4 10T 3) cos 3 11n 5) cot – 6. -

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Q: Find the augmented matrix of the following system of linear equations: X2 + x4 = 2 3x1 – x2 = -1 %3D

A: NOTE: Refresh your page if you can't see any equations. . given equations are . rewrite the system...

Q: Worksheet 1 Draw a circle on a Cartesian plane ( using a graphing paper) with the following properti...

A: For c=(0,0) and r=5

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Q: Find the directional derivative of f(x, y, z) = xy + z° at the point P = (2, –6, –1) in the directio...

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Q: Evaluate the integral. 3x cos 2x dx O e3x [2 sin 2x - 3 cos 2x] + C 13 O 1 [2 e3x sin 2x + 3 cos 2x]...

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Q: b) Evaluate each of the following integrals: 2 i) | cos(2x)dx, 4x3 -dx. 1+ x* ii)

A: Explained below 

Q: Pls help ASAP. Pls show work.

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Q: 1) cos- 0 V3 3) cos-! 5) sin--1 7) cos-1

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Q: What is the integral of f(x) = X within the interval [3, 6]? %3D 5. 4+ 3- 2- 1 O Area = 18 O Area = ...

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Q: Suggested Title: New Note Edit 15 February 2022 at 5:00 pm zp /2 Integrate using trigonometric subst...

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Q: A. Sketch the graph of the function, not by plotting points, but by starting with the graph of a sta...

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Q: Solve for all values of x: sin-1(x) + cos-1(2x) = pi/6

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Q: Which Riemann sum represents the illustration shown? 2.25 1.75 1.5 1.25 0.75 0.5 0.25 0.25 0.5 0.751...

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Q: Compute the directional derivative in the direction of v at the given point. S(x, y) = xy' – x, v=i-...

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Q: 12. Given the graph of y = f(x) below, which of the following best represents the graph of y = (x +3...

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Q: Let f(¤) Find the values of a where f'(x) 3. Give exact answers (not decimal approximations). The gr...

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Q: 5. Motion. In a straight-line motion, let the velocity be the reciprocal of the acceleration. Find t...

A: Solution is given below:

Q: -4x + 2 if r 2 Let f(r) = %3D -5x +4 if r > 2 Find lim f(x), if it exists. z+2 O DNE O-12 -6 0.

A: Given, fx=-4x+2 if x≤2-5x+4if x>2 We have to find limx→2fx if it exists.  

Q: Solve the inequality,and write the solution using interval notation.

A: The given inequality is:x2+4x-12>0To solve the inequality, and write the solution using interval ...

Q: 3. Solve the inequality 12 + 4x-x² > 4 using the graph. Express your answer two ways; on the number ...

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Q: Divide and simplify. V98 2 198 2 (Simplify your answer. Type an exact answer, using radicals

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Q: Find the angle between A = 37 – 23+ 3k and B = 7 – + 5k. %3D %3D 20 A. 0 = sin 3/66 20 В. cos 3/66 -...

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Q: 10. Consider the poly (1, 2), (2,3) and the coefficients fo

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Q: emand Function for Desk Lamps The demand function for the Lumin. esk lamp is given by p = f(z) = -0....

A: Given query is to find the the derivative of the function.  

Q: ute the directional derivative in the direction of v at the given point. S(x, y) = eY-³°, v= (12, –5...

A: We are asked to find the directional derivatives.