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

Q: 2 A = -4 1 6. has an eigenvalue A of multiplicity 2 with corresponding eigenvector v. Find A and X =...

A: Given     Matrix is given

Q: 1. The relation that is not a function is a. y= b. y= c. y= v(x – 5) d. x? + y? = 25 2. Given g(x) =...

A: According to our company's guidelines I can only answer first three subparts of the question since y...

Q: [3] Write the expression below as an algebraic expression in x for x > 0. cos(2 tan x) = -1

A: This question is based on trigonometric ratios.

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

A: Here we have to solve the integral by using trigonometric substitution.

Q: Find the derivative of f(x) = -4x ( 3' *(3"). %D 3+4

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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: Evaluate the integral. 1 (x² + 3)e¯× dx 0.

A:

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: Write the expression as a single logarithm with a coefficient of 1. (a) In(13) – 2 In(4) + In(32) (b...

A:

Q: dx J-25a2 1–25x² -25x2 8.

A: The objective is to evaluate the integration. 

Q: The function f is shown below. What is the value of f (x) dæ? Write your answer in simplest form. Gr...

A:

Q: Evaluate the integral of the following transcendental functions. dy 4) S- 19- 49 y

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

Q: Find the curvature of the curve at the given position. r(1) = (r, t², 31), at t=1

A:

Q: The regions A, B, C, D, andE in the figure below are bounded by the graph of the function f and the ...

A: Here, ∫-40f(x) dx=∫-4-2f(x) dx+∫-20f(x) dx

Q: ) .3 Find the derivative of h(x) = cos (2x – 5 %3D

A: Given,            hx=cos42x3-5To find : The derivative of the given function.

Q: Find a value a > 0 so that the graph of the exponential function f(x) = a" contains the point (3, 1/...

A: The point lies on the curve, so the point satisfies the given function.  

Q: 2x +6, r 6 is continuous at I = 6. Justify the conclusion. (i) f(6)=| (ii) lim f(x)= (iii) lim f(x)=...

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Q: 1.) What do you think the world will be like if Calculus wasn't discovered?

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Q: sec2zydy Evaluate the integral: Jtzy(3+tan-zy) A. In(3+ tan²2y) +C In(3+ tan?2y) +C In(3+ tan 2y) +C...

A:

Q: 4 2xdx х2 — 4х + 8

A:

Q: Given f(x,y) = 3x sin(3xy). Find fx(3,2). Give you answer correct to two %3D decimal places. Answer:

A: Topic:- partial derivatives

Q: Use Cramer's rule to solve the system. 3x- y-5z 14 3x-5y-2z 2 3x - 5y = -6 ... Write the fractions u...

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Q: Write the first five terms of the geometric sequence whose first term is 8, and whose common ratio i...

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Q: Find the derivative of h(x) = cos (2x3 - 5). %3D Provide your answer below: W(x)= O %3D

A: We will find the derivative of h(x) in the following step.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the seque...

A:

Q: A box is partially filled with liquid. The length of the box is 18 inches. The width of the box is 1...

A:

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

A:

Q: If f(x) = 5 cot + 4, then find the value of f'(-9) is %3D -5 82 -4 82 V 82 00 V 82

A: Solve for the derivative

Q: Consider t=[−6, 2] and s=[2, 2] a) Without determining the angle between the vectors, determine whe...

A:

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...

A:

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

A:

Q: Find the derivative of y Cos3 3x+8 (x). %3D Provide your answer below: y = D

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Q: 1. Next to each situation A. through H. listed below write one of these four statements: LINEAR-if a...

A: G  the population is 900 in beginning ,1000 in next year, 2000 the next year this is  the linear mod...

Q: 7) sinh 2xdx 8) fcosh vdv 9) f cot ydy pai4 sec? Jwdw

A:

Q: Show directly that the given functions are linearly dependent on the real line. That is, find a nont...

A: Given: f(x)=17. g(x)=6sin 2x h(x)=3cos²x

Q: C. How long is the ball in the air? i. Describe how you read that off the graph ii. Describe how you...

A:

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 3y2 + 5, (4, 1) Vf(4, 1) =

A: f(x,y)=5x+3y2+5 fx(x,y,z)=5fy(x,y,z)=3(2y)=6y∇f =fx(x,y,z) i +fy(x,y,z) j

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

A:

Q: The rate of U.S. per capita sales of bottled water for the period 2007-2014 could be approximated by...

A: Here we will find the total US sales of bottled water from start of 2008 to start of 2010,

Q: Lind ds 6) 5. 52+w²

A: It can be solved using chain rule and divide rule of differentiation.

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

A: The x-intercept is where a graph crosses the x-axis and the y-intercept is where a graph crosses the...

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r ...

A:

Q: Find the maximum and minimum values of the function f(x) = In(x) on the interval [1,6] by comparing ...

A: The given function is: f(x)=ln xx

Q: 1.)C

A: Please refer to the image below

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

A:

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

A: Riemann sum

Q: Express the sum using summation notation. Use the lower limit of summation given and k for the index...

A: We have to calculate summation

Q: The function f(x) = 6x¬1 for the interval [1, 2] has neither local minimum nor maximum. a local maxi...

A: local maxima and minima

Q: 2. Solve the following differential equations. (a) y' = x2 – xy+ 1. (Hint: Consider the subsitution ...

A: Both the parts have been solved in detail. 

Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest form. Gra...

A: To solve the given integral problem