1. Determine if g is differentiable at r 0 if 2 cos r, if -1

Q: Suppose the Sunglasses Hut Company has a profit function given by P(q)=−0.03q2+4q−46P(q)=-0.03q2+4q-...

A: This question can be solved using the concept of maxima and minima.

Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: Part 1 answer  tan3  (theta) sec (theta) dtheta = sec3(theta)/3 - sec (theta) + c    Part 2 answer  ...

Q: Given F(2) = 5, F'(2) = 1, F(3) 4, F'(3) = 4 and G(3) = 2, G' (3) = 2, G(4) = 6, G'(4) = 4, find eac...

A: Given that,F2=5, F'2=1, F3=4, F'3=4G3=2, G'3=2, G4=6, G'4=4

Q: Suppose that f ƒ (x) dx = 5. Find f(u) du dz а. f(t) dt d. [-f(x)] dx с.

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Q: Suppose that f ƒ (x) dx = 5. Find f(u) du dz а. f(t) dt d. [-f(x)] dx с.

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Q: If f(x) is continuous over an interval [a,b], and the function F(x) is defined by F(x) = f(t) dt, th...

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Q: Find the average value of f(r) =x-4 on the interval [1, 5]. Give the exact answer in the simplest fo...

A: To Find : Average value of the function f(x)=x-4 on the interval [1,5]   Note : The average value of...

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: The matrix A=[7    k]      [-8 −4]   has two distinct real eigenvalues if and only if k<_____ (Find...

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Q: Use Cramer's rule to solve the system. 4x - 2y - z= - 6 3x - 5y - 5z -6 2x - 3y = 2 Write the fracti...

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Q: 2. Suppose g(2) = 8 and g(5) = 512. (a) Write an equation for g(x) assuming it is linear. (b) Write ...

A: Given query is to find the equation for g(x) for linear and exponential modal.

Q: Integrating factor by inspection: Solve the equation (y – xy²) dx + (x + x?y²) dy = 0 O = In y - x +...

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Q: Find the area of the surface obtained by rotating the curve y = V1+ e, 0sx<1 about the X-axis. 2). S...

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Q: For the given cost function C(x)=40000+700x+x2C(x)=40000+700x+x2, First, find the average cost func...

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs y=x and y=x³ from ...

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Q: s opposite direction to the vector u = .

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Q: Solve for the antiderivative of the function f(x) = C. *++3x + C A. ++9x+C B. 즉++9x +C D. 2x ++3x + ...

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Q: Determine the positive real root of In(x) 0.7 using three iterations of the Newton-Raphson method, w...

A: Using Newton rapshan method

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(7, 2...

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Q: (1-cos 6x)dx 1+cos 6x c. tan3x – x+ C Perform the integration:S A. tanx – x + c B. -tanx – x+ C 3 3 ...

A: To find given integral.

Q: Sketch the region bounded by the curves, and visually estimate the location of the centroid. y = ex...

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Q: solve for linear equation y' = x - y

A: To solve linear differential equation.

Q: Integrate S(cos x)e*+sin xdx B. et-sinx + C A. -e4+sin x + C c. e4+sinx + C D. e-4+sinx +C A В C D

A: Given: I=∫cosxe4+sinxdx  ....(1)   We know that; ∫eax+bdx=1aeax+b+C

Q: If Ris the unbounded region between the graph of y = z(ln z)² and the x-axis for x > 3, then the are...

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Q: dx Evaluate: J sin x A. 3tan'x ++C C. tan'x +C tanx tan x + C tan 2x D. в. 3tan'x tanx 2tan2x

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Q: Integration by Parts - Indefinite Integral Let u = f(z) and v = g(x) be functions with continuous de...

A: Integration

Q: Compute the volume bounded by y = x² – 2x and 3y + 2x2 – 27 = 0 when it is revolved around the x-axi...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Graph the function and find its average value over the given interval. a. g(x) = -|x| on [-1,0] b. f...

A: The objective is to graph the functions and find its average value over the given interval.

Q: Determine where the function is (a) increasing; (b) decreasing; and (c) determine where relative ext...

A: Given: - The function is, y=3x-x2+8 To determine: - The function is (a) increasing (b) decreasing an...

Q: Consider the region bounded by x = 1+ 4y – y? and x = 4. a. Compute for the end points of the region...

A: (a) computing the end pointintersection point between x=1+4y-y2 and x=44=1+4y-y2y2-4y+3=0y2-3y-y+3=0...

Q: Calculate the amount of concrete required to cover the curved part of a pipe with a diameter of 50 c...

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Q: Solve and evaluate problem involving Non-Bracketing Method. Use the Newton-Raphson method to obtain ...

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Q: Approximating the Area of a Plane Region In Exercises 27–32, use left and right endpoints and the gi...

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Q: Evaluate the integral. (Re du |u3- u?

A: Solution is written in below steps.

Q: Find the exact length of the curve. x = et − 9t,    y = 12et/2,    0 ≤ t ≤ 2

A: Note that:Arc length formula = ∫abdxdt2+dxdt2 dt                   where , a≤t≤b       Given,       ...

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Use Bisection Method to find the root of æ + 10x² – 5 = 0 that lies in the interval (0, 1) to four-d...

A: Given :   x3+10x2-5=0

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few t...

A: The given sequence,       14,-45,96,-167,258,......

Q: Use the method of cylindrical shells (for all parts) to set up an integral (without the absolute val...

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Q: Find the derivative of the function. g(x) = 4eVx g'(x) =

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Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

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Q: Evaluate: A. T B. V c. V D. еп

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Q: ; Use Gausss D.T. to evalu arte where F=4 xi -zy'i+zk auds is the sarfece bounding the regioh x?+y=4...

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Q: olve the initial-value problem 2xy = In x, y(1) = 2 t? + 3u, t> 0, u(2) = y + x² sin x, y(7) = 0 dy

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Q: 27 at z = 0. Find the equation of the tangent line to the graph of y(z) = Equation of the tangent li...

A: Find the equation of tangent line to the graph of y= 2x/√(1-x2) at x=0 . 

Q: For the given function, find all values of c over the interval (, 22) stipulated by Rolle's Theorem ...

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Q: Express the following degrees to radian measure. 1) 75 2) 240 3) 340 4) 620

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Q: Sketch the region bounded by the graphs of y = v1- x², y = 1- y = 0. Find the volume of the solid of...

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Q: (1-cos 6x)dx Perform the integration:S 1+cos 6x tanx - x +C c. tan3x – x+C A. -tanx – x+C D. tan3x –...

A: We have to choose correct option

Q: Find the vector component of v = (4, – 1, 7) along b = (3, 6, –6) and the vector component of v orth...

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