ow many values of a are there such that lim h→0 (sin ¹(a+h)-sin h ~ ²² (a)) = = 4?

Q: Solve for t, 0 < t < 2π 14 sin(t)cos (t) = 8 sin(t) t = 0.96,5.32 Give your answers accurate to at…

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Q: Cut out squares (of the same size) from the four corners of a square cardboard of given side length…

A: The side of the square = L  let the length of the square = x,

Q: Use the gradient to find the directional derivative of the function at P in the direction of v. h(x,…

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Q: Find the area bounded by the given curves. Use vertical strip x² = y - 1 and x = y - 3

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Q: Find equations of the spheres with center (2, -3, 5) that touch the following planes. (a) xy-plane…

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Evaluate the integral of x cos 2x dx with limits form 0 to pi/2. (A) -3/4 B 0.75 C -0.5 D 1/2

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Q: Consider the following second-order differential equation. 2y" + y = 0 Find all the roots of the…

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Q: State the range of f(x)= {v=Ry>} b. ve Rly - } 3 a. 1 3x+4 C. {v=Ry>0} d. {ve Rly 0}

A: We can find the range as below.

Q: In the integral of x cos 2x dx with limits form 0 to pi/2, what is the indefinite integral? Select…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: here is the solution:

Q: Consider the function on the interval (0, 27). f(x) = 1/2/20 + COS X (a) Find the open intervals on…

A: topic- Relative extrema of a function.

Q: Find the limit of s(n) as n → ∞0. ( s(n) = 4 n n(n + 1)(2n + 1) 8

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Q: Use the graph off to find the largest open interval on which f is increasing, and the largest open…

A: On observing curve we will find the interval.

Q: -y(2x+y) x(x+2y) - y'=-

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Q: Evaluate the iterated integral. 2y 1²1,²% (10 + 8x² + 6y²) dx d 0 ly

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Q: Answer without referring back to the text. Fill in the blank. The only solution of the initial-value…

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Q: 64 Use the first derivative test to answer the following: the function f(x) = 49x + I and a local…

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Q: Find the limit as k approaches infinity for k ^(1/k)

A: Topic:- calculus

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = P(2, 3, 4),…

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Q: Solve the following ODES by Undetermined Coeff D Ş 17 4X y - 16 y = 19.2 € + 60e, y(a) = ý (0) -4X…

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Q: Solve 4x x-2 1 2 b. x= -2,2 a. x= 3x-2 x-2 for x. C. x = -2 d. x=2

A: We can answer the question as below.

Q: is 2 Sinh xt sinh (۱) Let y emx (to) be the trial solution to the Corresponding homogeneous equation…

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Q: 1. S sina de cos²x

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Q: Find f if f"(x)= e-sin z - 3 4√ f'(0) = 0, and f(0) = 8.

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Q: -4 -2 (a) x=¹t+3, y = 2² VX (b)x=²2t, y = √t 11 (c) x = ²³ - 2t, y = 2² - t ✓X III (d) x = cos(5t),…

A: Please see the below picture for detailed solution.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: For the given differential equation, what is the a) order, b) degree of the differential equation,…

A: The given differential equation is d3ydx35-7xd2ydx23+5dydx=11ey

Q: For the function, do the following. f(x) = 1/x from a = 1 to b = 4. (a) Approximate the…

A: The function fx=1x from a=1 to b=4

Q: 3) y" + 4y' + 4y = 0.

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Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: Osaddle point none of these

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Q: pls

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Q: (a) Area = ſ dx dy (b) Area = = [[ JJ dy dy dx

A: Follow the procedure given below.

Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and -5-4-3-2…

A: The graph is given as , Find the equation for the graph.

Q: What intervals must be considered for finding solutions to the inequality x > 5-º? C. 03 d. x 3 a.…

A: Follow the procedure given below.

Q: ¡ (ew - 3) dw? O ew - 3w+C O - ew + 3W + C O -ew - 3W + C O ew - 3+ C

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Q: You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes, 6.5…

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Q: At what speed should a fish swim upstream so as to reach its destination with the least expenditure…

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Q: integral

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Evaluate the iterated integral. π/4 ** ['y cos(x) dy dx

A: Please see the below picture for detailed solution.

Q: (a) Determine whether the series n=1 n+1 n³ +3 is convergent or divergent.

A: Solution: ∑n=1∞n+1n3+3

Q: (x + y) dx + (3x + 3y - 4) dy = 0

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Q: Evaluate the function at the given values of the Independent variable. Simplify the results. g(x) =…

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Q: calculation for P.I ур cos²x D²+1 2 2 cos²x D² + 1 1 {3 2 21 - 1+ cos2x D² + I HOW DID HE GET THE…

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Q: WHAT IS O H|5 Se-5x dx 1 e -5x + C -e e-5x + C -¹e-5x + C 5 e-5x + C

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Q: Find a function of the form y = C + A sin(kx) or y = C + Acos(kx) whose graph matches the function…

A: Solution :find a function of a formy=C+Asinkx…

Q: 2. The function ƒ(x) = x² − 4 is transformed to g(x) =— (x² − 4). Compare the domain, range,…

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Q: Find the general solution of the given higher-order differential equation. d'u 분 700분 - 20분 +7. dr5…

A: The given differential equation, d5udr5+7d4udr4-2d3udr3-14d2udr2+dudr+7u=0

Q: Use the one-to-one property of logarithms to solve. (Enter your answers as a comma-separated list.)…

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