Use loganithmic differentiation to evaluate f'(x). 10 (x+2)" f(x) = (4x- 16)" %3D 11

Q: Find dx and simplify whenever possible. 1-cosh x 1. у 3D 1+cosh x 2. y = x tanh¯x + In V1 – x²

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Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -175 feet per…

A: see below the answer and calculation

Q: Vx- 2 Evaluate lim x-8 x2-7x-8 O 2/7 None of these O 1/9 O 1/12 O O o O

A: The given limit,     limx→8x3-2x2-7x-8

Q: Solve eX = 6 for x. The solution is x2 (Round to four decimal places.)

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Q: 4. (Straightforward) Determine if each of these differential equations is exact, and if so, solve…

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Q: Find all solutions to the equation. 2 sin 0+/2 =0 Write your answer in radians in terms of t. TC…

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y= fix) 6.…

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Q: (a) How far is the boat from the marina? Round the answer to one decimal place if necessary. (b)…

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Q: Find Ay and f'(x)Ax for y = f(x) = 2x – 1, x= 3, and Ax = 3. Ay = (Round to four decimal places as…

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Q: AVERAGE VALUE OF THE FUNCTION QUESTIONS PT. II A. y = 3cos(x)-5, [--pi, pi] B. y = 3ex + 4, [0, 3]…

A: We need to find average vale.

Q: The shaded region shown below is bounded by the functions f(x) = -4x? + 10 and g(x) = x + 6 and the…

A: area

Q: d the sum of the critical numbers of f(x) = 3x4-4x3 +2. %3D ISwer.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A stone is thrown straight up from the edge of a roof, 600 feet above the ground, at a speed of 16…

A: The answer is in below steps.

Q: true or false 1. ∫dx/(1 - 2x) = 1/2 ln|1 - 2x| + C 2. ∫ (1 - 4x4 + x3)/x3 dx = 1/(2x2) + 2x2 - x…

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Q: 1-. 5x <35 -2 (х-3) (х+3)* (*+1(5-х) 7-3. 2х - 3 <4 x-1 2.4, 25. -23х -5 - 8<-20

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Q: e" + e¯ cosh(r) : e - e sinh(r) 2 Use our rules for differentiating e" to show that cosh'(r) =…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 20, (1, 4, 5) (b)…

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Q: Jse the cylindrical shell method to calculate the volume of the solid Formed by rotating the graph…

A: Please refer to the image below

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 36 lim…

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Q: Decide if a direct comparison test can be used to determine convergence of the following series.…

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Q: B and C

A: Topic:- application of derivatives

Q: Solve the differential equation. (x² + 15)y' = xy

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Q: Find the maximum value of the function f(x) = x3 - 9x2 + 15x-5. Answer.

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Q: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. How much work is…

A: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. ρ=mass per unit…

Q: a) Find the degree 4 Taylor polynomial T(x) for the function f (x) = 2e" centered at the point a 3.

A: Given that fx=2ex  centered at the point a=3we defined the nth taylor polynomial centered at x=a Tn…

Q: How do I find the area of the region in the first quandrant bounded by the line y=4x, the line x=4,…

A: Here we have to find the area of the region in the first quadrant bounded by the line y=4x, the line…

Q: Differentiate implicitly to find dy/ dx. Then find the slope of the curve at the given point. x²y? =…

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Q: 6.(Somewhat tricky) Use an appropriate substitution to solve: (a) dy y + x dx (b) (y³ + y?x) dx – x³…

A: To solve the following differential equation

Q: Solve the initial value problem. d?r 2 dr = 5, r(1) = 4 dt2 dt t=3

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Q: Evaluate xe*dx. -3

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Q: 2xydx+(x^2)dy=0

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Q: Suppose the position of a particie is given by parametrc equations x(e) = -3 and y(t) = 2?. (a) Find…

A: The given data is: xt=t3-3yt=2t2  (a) To find the particle's position (x,y) at t=3

Q: TRUE OR FALSE 1. ∫(4csc2x - 3sec2x) dx = -4cotx - 3tanx + C 2. ∫6x2e2x^3+1 dx = 3e2x^3+1 + C 3.…

A: We have to find the solution

Q: cos3 x+sin² x cos x dx 1-sin? x

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Q: QUESTION 16 Larger standard error of an estimated parameter will lead to narrower confidence…

A: Given statement is Larger standard error of an estimated parameter will lead to narrower confidence…

Q: V y-2+1 dy

A: Please see the answer below.

Q: The following set of data represents the number of families (n) moving into a new town as a function…

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Q: 25x -9 – dx

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Q: 2, 22, 23 567 3. Test the series +. +.

A: Topic:- sequence and series

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 u · (v x w)| to determine…

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Q: First of all, what is the difference between implicit and explicit? How does it apply to our…

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Q: 2x² + 1 Find the lim, f(x) where f(x) : if xs -5 x – 3x-2 if x > -5 x-5* -122/25 O -72/25 O -80 None…

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Q: For what values of x is the graph of y=xe-4x concave down

A: Given  that y=xe-4xSolution :if d2ydx2&lt;0 then concave down.

Q: Find the maximum value of the function f(x) = x3 - 9x2 + 15x - 5.

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Q: s e8*(x³ + x²)sec² (x*e3* + 1) dx

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Q: 1+cos4x 1. 1-cos4x -csc2xdx

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (5, 13, –10) Vw(5, 13, -10)…

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Q: Approximate the root of f(x) = x - 3 with the bisection method starting with the interval [1, 2].…

A: According to Bartleby's guidelines we are allowed to solve only 1 question at a time. Apologies for…

Q: After a rest of 20 minutes the hikers ascend into a steep climb, still following the trajectory of…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: Suppose the position of a particle is given by parametric equations x(t) = t3-3 and y(t) = 2t2. (a)…

A: Solution: x(t)=t3-3  and y(t) = 2t2