Find the exact value of cos²() using a suitable power-reducing formula.

Q: Which of the following relations from the set of all bit strings S to the integers are functions. If…

A: The solution is shown in step-2

Q: Find the value of C' for which the tangent line to the graph of the function f(x) = 2e at the point…

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Q: To find the vertical component of a vector (a. b) the following formula can be used: cos@=; True O…

A: we need to find the given statement is TRUE or FALSE.

Q: Find u (v x W). u = (3,3,3) (5,9, 0) V = w = (0, 0, 3)

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Q: Data for motor vehicle production in a country for the years 1997 to 2004 are given in the table.…

A: The solution is shown in step-2

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Q: The radius of convergence for the power series - xnn² 272 is

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Q: -5 -3 -2 -1 4 3 Submit Question 2 1 -1 -2- -3 -4 1 Lev Lon 3 4 Use the graph of f(x) above to…

A: Use the graph of f(x) above to estimate the value of f'(–3) to one decimal place.

Q: Find the interest rate required for an investment of $3000 to grow to $5500 in 6 years if interest…

A: Given:We are required to:

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Q: Use a computer algebra system to find u xv and a unit vector orthogonal to u and v. (Round your…

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Q: Solve the given differential equation by undetermined coefficients. y" + 4y = 4 sin(2x) y(x) =

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Q: Answer 4 (c) and (d)

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Q: Reverse the order of integration for -2x+1 LS² h(x,y) dydx. Do not evaluate.

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Q: The decay rate, k, for a particular radioactive element is 3.2%, where time is measured in years.…

A: Given:We are required to:

Q: Find e such that the function -5 I ≤C f(x) = {10z z>c is continuous everywhere. c= 10-30

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Q: Find the derivative of y with respect to x, t, or θ, as appropriate. 1. y = ln 3x^2 2. y = ln x/x^5…

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Q: Find the angle between the vectors, approximate your answer to the nearest tenth: v = (-3,-2), w =…

A: The solution is shown in step-2

Q: ƒ(x)—ƒ(a) x-α (a) If lima differentiable at a. exists, then fis (b) If f is continuous at a, then f…

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Q: Find the derivative of the function y = log |6 - x|

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Q: Cosines - Summer 20 x O Law of Sines O Law of Cosines…

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Q: π 0 4 18. S (sin x − 1)dx + f (cos x + 1)dx π 0 4

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Q: 31. If f(x)=x+for all x = -1, then f'(4) =

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Q: 3. Evaluate the integrals (a) S₂ 1 x√x²-1 dx

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: Use the power-reducing formulas to rewrite the expression in terms of first powers of the cosines of…

A: By using the power-reducing formulas to rewrite the expression in terms of first powers of the…

Q: please provide in good format

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Q: 19. 21. 23. 25. 27. 1 x0.2 f.oe e-3x dx Lo 8 1³ 5.00 e³x dx dx 3-x dx 1+x x dx Soo Jo (1+x²)²

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Q: please provided in clear format

A: If curve is  then curve length in interval  is given by

Q: 31. S -X-X e 3 2 Ine²-e³dx 2 2 -x +2 2 e

A: given integration

Q: Use logarithmic differentiation to find the derivative of y. y = (x^3 + 1)^3(x - 1)5x^3

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Q: 89°F Partly sunny C If v = 5i+j and w = -5i - j, then the projection of v onto w is: F1 1 O 5i + j O…

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Q: 42 - z + ^ − z^ - IՒ 05 lim

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Q: Find the equation of the tangent plane to the graph of f(x, y) = ln (4x² - y²) at the point (1, 1).…

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Q: The amount of carbon-14 present in animal bones after t years is given by -0.00012097t P(t)=Poe . A…

A: The amount of carbon-14 present in animal bones after  years is given by  .A bone has lost 37% of…

Q: Evaluate Given Limits a. Lim (6h+h²+3) →>0 b. Limo 4h+h² 4 c. Lim (1+2h+h² +2+2h) d. Limo 2xh+h²-2h…

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Q: Which of the following is an even identity? O tan(8) = sin(e) cos(8) O sec(-8)= sec (0) O csc(-8)=…

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

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Q: not need to simplity. x18 (x-1) 20 √11x-12 y=

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Q: a) Create the vector & parametric equations for the line, L₂ that passes through the L₁ x 3- 2t : =…

A: The solution is shown in step-2

Q: 2 2 7. f(sec¹x – tan^x)(tan x sec x)dx

A: Remember the identity : Remember the formula

Q: The exponential function f(x) = a + b whose graph passes through points (1, 1) and (2,3) is Oe +1…

A: We have,    f(x) = ax + b    Points : (1,1) and (2,3)

Q: b) y = ex³+cos x

A: To find the derivative of the following function.

Q: When writing a vector as the sum of two vector components, the first vector to calculate is just the…

A: When writing a vector as the sum of two vector components the first vector to calculate is just the…

Q: Solve the initial value problem below using the method of Laplace transforms. y'' + 6y' + 8y =…

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Q: d²w dz² w=11z²e² Find for the given function.

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Q: The graph below is the function f(x) 1 0.75 0.5- 0.25 A -0.25- -0.5- -0.75- -1- 2 = f(2) is defined.…

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Q: Given g(x) = x5 - 3x4 + 2, find the x-coordinates of all local minima. - If there are multiple…

A: Given , to find the -coordinates of all local minima.

Q: Let r = xi + yj + zk and r = [r]. Find each of the following. (Give your answers in terms of r.) (a)…

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Q: Use one of the formulas below to find the area under one arch of the cycloid x = t - sin(t), y = 1 -…

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Q: Assuming continuous compounding, what will it cost to buy a $40 item in 5 years at the following…

A: We have to find the price of item after 5 year due to inflation.