In Exercises 41–44, find the derivatives. Assume that a and b are constants.

Q: Use a linear approximation to estimate V65.

A: 653

Q: 2n 3 21. 4 n=1 а. 1 b. 0 с. 3/4 d. 4 e. Divergent 8.

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Q: 29-30 Show that the lines L and L2 intersect, and find their point of intersection. 1. 20 T LI 30. L...

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Q: Evaluate fsin (2xv1-x) dx.

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Q: 11

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Q: Use rules in photo 1 and writing all steps how to calculate.

A: Answer 

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Q: п! 15. an (п-1)! A) 0 B) -1 C) 1 D) 2 E) Divergent

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Q: (6) Determine whether Rolle's Theorem can be applied to f on the closed interval La.6]. If Rolle's T...

A: (i)

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A: The limit of the function limx→52fx+4gx is to determined in the statement and justification format. ...

Q: (8) Find the derivative of the functions (iv)f(x) = e* arcsin x arcsin 3x (v)h(x) = x' arctan 2.x (v...

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Q: A sequence is defined by Un= 71-7n/2. a) find u1 and d b) find u75 c)for what values of n are the t...

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Q: Suppose that Saturn rotates on its axis once every 10.7 hours. The equator lies on a circle with a r...

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Q: betermoine whether he diferential egudien is linear or honlinear and qwe reasors ofy + sdy +Gy=D0

A: Given the differential equation-                                       d2ydx2+5dydx+6y=0 We have to ...

Q: Ax) *Ax) +fla+b-x)& = 25 b- a

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Q: Q 8-9, part (c), answer is (e^x^3)/3 +C

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: GRAPHS AND FUNCTIONS Determining whether two functions are inverses of each other For each pair of f...

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Q: The integrals below converge. Evaluate

A: Given, ∫0∞x3e-2xdx

Q: Show all of your work and mention what formula/theorem/test you are using. You can use DESMOS to che...

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Q: Calclus

A: NOTE** As per bartleby guideline for more than three sub parts asked only first three are to be answ...

Q: 25. Find an equation of the tangent line to the graph of the function at the given point. Function: ...

A: y = -2x +3π/2 -1  Hence option (a) is correct .

Q: A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tan B, sin...

A: Use trigonometric ratio

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A: Use distance formula between a point and line

Q: In multiplication of unlike terms, the exponents of the literal factors do not have to be the same t...

A: To write that the given statement is true or false

Q: 3)Verify Rolle's Theorem for the function f(x)=2x2+4f(x)%3D2×2+4 defined over the interval -5,5][-5,...

A: According to question given thatf(x)=2x2+4 over the interval [-5,5]

Q: 2n? 2 n +1 n=1 5. Give the LUB:

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Q: For each pair of functions f and g below, findf(g(x)) and g (x)). Then, determine whether f and g ar...

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Q: Give the general solution for 5cos?x – 1 = -cos²x + 2.

A: 5cos2x -1 = - cos2x +2

Q: Find the derivative of y= sec(x) tan(x) Give clear steps and explanations.

A: The given function is y=secx tanx. The following product rule is used in evaluating the given deriva...

Q: show that the curves 6x^2-5x+2y=0 and 4x^2+8y^2=3 touch each other at (1/2,1/2)

A: We have the first curve equation; 6x^2-5x+2y=0 second curve equation;  4x^2+8y^2=3 they touch each o...

Q: Let h be differentiable at 4 with h(4) = -1, h'(4) = 1. Let f(x) = h(x2)/(x2+1) for all x. Then f'(2...

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Q: The equation is y= (3x-5)/(2x-1). Find equation of the line tangent to the graph of function when x=...

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Q: Given the triangle 26/ find the length of side x using the Law of Cosines. Round your final answer /...

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Q: Pls help the answer should equal (-8)

A: we will use concept of line integral.

Q: Consider the following parametric equations. Eliminate the parameter to obtain an equation in x and ...

A: In the question it is asked to solve for parametric equations x=-7cos(2t); y=-7sin(2t) in the interv...

Q: Please answer clear and completely! Label answers please! thanks!

A: This question is related to application of derivatives.

Q: A bank features a savings account that has an annual percentage rate of r = :4.9% with interest comp...

A: The interest is compounded quarterly i.e. after every 3 months and there will be 4 quarters in a yea...

Q: 1 If n is a positive integer, then D-a n!

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Q: Q12\ Solve the e 1- j (1) e. 1+j 3z

A: Since you have asked multiple questions in single request so we will be answering only first questio...

Q: Find Maclaurin Series and interval of convergence for :  f(x)= 1/(1-x)

A: Consider the function: fx=11-x The maclaurin series at a=0 is given by the formulas, fx=f0+f'01!x+f'...

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Q: The stock bought is $35000. 6 years later it sold for $85000, interest is compounded continuously, w...

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Q: For the sequence a, = an-i+ an-2 and a1 = 1, a2 = 2, its first term is its second term is its third ...

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Q: Which of the following is the angle between the vectors u= and V= ? O a. 147.529° Ob 139.847° OC. ...

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Q: 12. Use a double integral to find the volume of the indicated solid. z = 16-y?, z>0, x >0, 6x <y <4 ...

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Q: True or False Plus    A. For a given function, its indefinite integral can take an infinite number o...

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Q: Use the information provided to write the equation of a parabola.

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Q: A cyclist is riding a bicycle whose wheels have a diameter of 28 inches. Suppose he is traveling at ...

A: Formula of angular velocity, w= v/r