verity that has an inverse funci on. Then use the function and the given real number f(x) cos(6x), 0≤x≤ π/6, a = 1

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A: Given.

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A:

Q: Let u= -10i+4j- 4k, v= 5i-2j+2k, w=2j-5k. Which vectors, if any are (a) perpendicular? (b) Parallel?

A:

Q: Given ; = -5 cos 0 and r₂ = 5+5 cos 0 Sketch and then set up integral for area bounded by the…

A:

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A: The objective of the question is evaluate the definite integral.

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A:

Q: Let g(x) be the inverse function to the differentiable function f(x). If ƒ(0) = 1 and f'(0) = 5,…

A:

Q: 12) Find the equation of the line tangent to g(x) = (3x + 11)ex-4 at x = 4.

A: ddxuv=vddxu-uddxvv2

Q: so ne dx

A:

Q: Use Taylor's Theorem to find an interval [ z, z] where the Maclaurin polynomial p2(x) = 1- 2 1…

A: Given problem  is :

Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² +5t+32) sin(t)dt

A: Using tabular method, given integration is evaluated.

Q: TL 9. The region R = {(x, y): 0 ≤ x ≤ 2, -√√1-(x − 1)² ≤ y ≤ √1 - (x − 1)²} in the transformation x…

A:

Q: The figure below shows J(a) and its local linearization at a = What is the value of a? a = 2 What is…

A: linearization

Q: 5. 6. tan x dx \cos x (1/2-√√x) dx HIM

A:

Q: Question 6 (a) Use the Maclaurin series, In(1 + x) = x -+-+-=-1(-1) ¹+¹ ² 1+2 to derive the series…

A:

Q: 1. 2y"" Hardcore 0 7y"+12y + 8y

A: To solve the given differential equation.2y'''-7y''+12y'+8y=0

Q: (d) Any local minimum or local maximum of a function f must occur at a critical point of f. True…

A:

Q: The f is equal to 2x³+x X H. In (2x²+1)2 W. In +C I (2x²+1)2 K. None of the choices +C O. In R. In 1…

A:

Q: Use the row method or column method (as appropriate) to find the first column of BA. 6 -1 5 A = 3 4…

A: We need to find first column of BA.

Q: a) dy dx xe ex²+ y(0)=1

A:

Q: 2. If function f(x) = 3²-12 is continuous at x=2, find f(x). x-2

A: We need to find f(x).

Q: 10e²x When x = 0, y = 0, y' = 0 9. (D2+1)y= Ans: y=-2 cos x-4 sin x + 2e2x

A:

Q: noon and 2 pm the population triples, at what time should the population become 100 times what it…

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Q: Differentiate the following functions y = 4sin(2x) + 3cos(4x) y = 6e3x + ln(2x)

A:

Q: 5. If A is (8, -7) and B is (5, 16), find a unit vector in the same direction as AB.

A:

Q: et dx 2 S² teed x 3

A:

Q: Find the derivative of the function using the chain rule. y = log10(7x)

A:

Q: 4. · [ (8x − 3) (4x² – 3x) ³ da x J dx - 4x² x S dx 3 - 5x² 5. 6.

A:

Q: All exponential functions can be written in many forms. Write the function f(t) = 6100e0.07t in the…

A:

Q: An initial investment amount P, an annual interest rate r, and a time t are given. Find the future…

A: Future value of a investment amount P, rate of interest r  and time t in years(a) if it is…

Q: Find the orthogonal trajectories of the family of curves: y = k (csc x + cotx) Ⓒy²= 2 (C- cos x) O y…

A: This question is related to differential equations, we will solve it using given information.

Q: Differentiate Expressions

A: This question can be solved using the concept of differentiation of trigonometric functions.

Q: 1. [(5x (5x - 3)100 dx 2. [(x − 3)¹/4 da dx 5 3. · / ( 2² + ² ) ( ²2 2²³ + 2) * dx 2 3

A:

Q: The Bradford family wants to establish an ongoing scholarship award at a college. Each year in June…

A:

Q: Applications

A:

Q: enomena. f(t) is the height in centimetres of the sea above mean sea level in Cape Town due to the…

A: answer is in next step

Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 24 cm to a length…

A:

Q: Determine the domain and range of function f(x) = elnñ — arcsin (1²²)

A: This question can be solved using the concept of domain and range of inverse trigonometric…

Q: y=ex5

A:

Q: - 13. If u = (4, -9, -1) and v = 4ỉ − 2] + k, determine each of the following: a. u.v f. (2ū+ v) ×…

A:

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A: Given function has vertical asymptote

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A:

Q: Determine if there are any inflexions on the graph given by y=2x4-3x³+ x²+6. Proof they are points…

A: The given function y=2x4-3x3+x2+6

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A:

Q: 4. · [ (8x − 3) (4x² – 3x) ³ dx x J dx √1-4x² x ·S dx 3 - 5x² 5. 6.

A:

Q: 3. Find the solution of the following systems of differential equatio (c) [x' (t) = -6x (t) + 4y(t)…

A:

Q: Solve the following matrix equation for a, b, c, and d. b b + c 2 [ad - [10²] = 3d + c 2a - 4d 11 6…

A:

Q: 3.y" + 6y + 8y Pros Зе 2х + 2x

A: Let's solve given diffrential equation.

Q: Find the derivative of the function. g(x) = ((7x^2-4)/(4x+7)^-2

A: We have to find the derivative

Q: 2 ( D° _ 2D - 20 - 3D - 2) y = 0 = 9

A: