Let f(x) = 50 x - 5x. a. Find all points on the graph of f at which the tangent line is horizontal. b. Find all points on the graph of f at which the tangent line has slope 2

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A: The function is given by gx = ex5-2x Formula Used: The chain rule of the derivative is ddxfgx = ddgx...

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Q: 5. Given: r = -4cose Sketch the graph and find the arclength, ( using calculus)

A: Find your answer below 

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A: ∫ex-14×1x-14dx Let us take u= x-14, then differentiating u with respect to x, we get   du = 12x-14dx...

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A: We can find the limit as below

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Q: -5х + сos (9x)-1 (9х) — 1 Evaluate lim 2x Submit an exact answer.

A: NOTE: Refresh your page if you can't see any equations. . use the L'hospital rule

Q: 1. 2x-9 13 Evaluate lim 1 x→-2 2x+8 4 Enter an exact answer.

A: We can find the limit as below.

Q: 1. Find dy/dx using chain rule and or implicit differentiation. a) In(xy) + 5x =30 b) (sinax + coszy...

A: As per bartleby guidelines we only give first three question answers. 

Q: əx = 7 , at ay ay = -2, ax Əz -4, = 5, as az at 9 ду as (c) ax az = 26 at az -38 , answer: as ду ду ...

A: We are going to solve using chain rule

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A: The given problem is solved below in detail.

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A: Roots are imaginary then complementary function is e-2x (Acos(√5) +Bsin(√5))  And y(x) =complementar...

Q: Find the equation of the curve at every point of which the tangent line has a slope of e^x

A: Topic:- application of integration

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A: We write the inverse of a function and inverse of a natural numbers in addition and multiplicative.

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Q: Evaluate the integral. Show all your work. ( tan-(5r)dr

A: Our Aim is to evaluate the integral given below:-∫tan-1 (5x) dx  -(i)

Q: Let the function f be defined by tan(x) – 1 f(x) = sec(x) (a) Use the Quotient Rule to differentiate...

A: I have stated the used formulas in the solution.

Q: The initial weight of a starving animal is Wo. Its weight after t days is given by W=Wo e -0.005t Wh...

A: We will find the remaining % of wieght as follows.

Q: 4. Determine the following derivatives without simplifying either before or after. (YOU MAY USE ANY ...

A: Using given formula then solve it. 

Q: SITY Activity 3: Determine the equations of both tangent and normal to the curve: 1. y = 3x? – x + 1...

A: Question: Determine the equation of both tangent and normal to the curve. 1.y =3x²-x+1=0 at x =1 2.y...

Q: The temperature T in a metal ball is inversely proportional to the distance from the center of the b...

A: Given: a)      The distance from x,y,z to the center is x2+y2+z2         So that                  Tx...

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Q: 14. What is the particular solution of the linear differential equation y' = x° - 2xy; when x = 1, y...

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Q: 4x3 y = x", y(0) = -3 and choose the correct answer from the followir x4 +2 Solve the initial value ...

A: Note-  Acc. to Bartleby guidelines, we are supposed to do only one question. If you want more to be ...

Q: negative semi definite, semi definite but not positive definite, positive definite of indefinite?

A:

Q: Let f(x) = (2- . 2x) and g(x) = 8x + 1. %3D Find g(f(x)). 08(2³ 0 8(2° – 2x)' +1 O (8x + 1) - 2(8r +...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: Convergence of series

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Q: 10. Determine the upper bound on the error in the approximation = x - 16x5 + 256x° if |x| < 0.2 1+16...

A: We need to find upper bound on the error.

Q: as neatly as possible. Show computations y equation.

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Q: integral (7+ sin t)l cos t dt Evaluate the 21 using the substitution u = 7+ sin t. | (7+ sin t) Cos ...

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Q: INTEGRATE THE FOLLOWING FUNCTION. secvtanvdv PROBLEM I: 4 secv +3

A: Topic:- integration  Note :- as per our guideline if more than one question uploaded than only first...

Q: Only solve d, and only solve by using the given formulas. Thank you (P7.2)

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Q: Given: r = 3 - 5 sine a) Sketch the curve and label 4 polar points. b) Find the slope of the tangent...

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Q: Which of the following integration expression can be transformed into integral of power (Choose 2) O...

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Q: Evaluate the integral. Show all your work. S sec? xdx

A: The given integral is solved below in detail.

Q: 1 1 c) z = /xy – 3(x + y) answer: -3 ; %3D 2 V x ôy 2Vy d) z= xy sin y = y sin y ; x sin y + xy cosy...

A: Note: Since you have posted multip;e questions we will solve the first question for you. If you want...

Q: Find the limit of the following sequences or show why they diverge. n2 – 2n + 1 (a) - en n+ (b)

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Q: Evaluate the integral. Show all your work. 3 (sec' xdx

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Q: 2. Given the functions below, find A. (A + B + C +D + E + F) B. (P + Q +R + M + N) (x² +1)(x+1) (2x ...

A: Both parts are solved below in detail.

Q: e dx PROBLEM 2: J 5e -4 2 csc" wdw cSC PROBLEM 3 : 1+cot w

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Q: x+1 dx (ӕ—3)(ӕ+2)

A: Topic:-  integration

Q: Determine the form of a particular solution for each differential equation. No need to solve for the...

A: Given that the differential equation is      2y"'-3y"-3y'+2y = (ex+e-x)2 

Q: (Determine if 1781 is divisible by 3, 6, 7, 8, and 9. )

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Using IMPLICIT DIFFERENTIATION, find y'. +3y² y = 4x? – 5x°y 2ху + Зу? .3.

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Q: Identify (a) the point(s) of inflection and (b) the intervals where the function is concave up or co...

A: From the graph: the inflection point: (0,-1)  

Q: The solution is x= Solve for x. (Simplify your answer. Type an exact answer, using radicals as neede...

A: Given query is to find the value of x.

Q: 5. g(x) = e*+12 %3D x+1

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 5 5 lim t-0 tV1 +t

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