Use trigonometric substitutions to find the area enclosed by the lipse+= 1.

Q: Using only the unit circle definition of the sine function, find the solution set of the inequality…

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Q: Solve. √√2x+5√√x-2 = 3

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Q: Suppose that c= O Local Maximum Neither O Local Minimum -2 is a critical number for a function f.…

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Q: The graph of the derivative f' of a function f is shown. y y = f'(x) HÄ 2 4 0 X = 6 X (a) On what…

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Q: Calculate the Consumers' Surplus at the indicated unit price p (in dollars) for the given demand…

A: Givenat the indicated price

Q: The 3rd term of a geometric sequence is 56 and the 7th term is 896. Determine the 14th term.

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Q: Describe and sketch the surface in R³ represented by the equation: x²+z² = 25.

A: If we consider the graph of x^2+z^2=25 we must notice that however it seems a circle in xz plane…

Q: Evaluate the integral. (Use C for the constant of integration.) [√ 7 + x 7-X dx

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Q: question not related. (a) Find an equation of the tangent plane to the surface of z=xy-3e (2y+²) at…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Determine whether the series is convergent or divergent. Ž 8n 5n+1

A: The given series is .To determine whether the series converges or diverges.

Q: Suppose f is a differentiable function of x and y, and the following applies. p(t) = f(g(t), h(t))…

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Q: In one area, the lowest angle of elevation of the sun in winter is 21° 15'. Find the minimum…

A: The given figure

Q: Let A = {6, 7, 8, 9, 10}, B = {8, 9, 10, 11, 12}, and C = {7, 10, 12}. a. Find An B. b. Find A U B.…

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Q: What would be the units for (c)?

A: unit of volume = unit of time = sec

Q: 3) Using the definition of Laplace transformation, L{f(t)} = f e-st f(t)dt. Find L {et). 4t}

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Q: Use the given information to solve the triangle shown in the figure to the right. a = 8.2, b= 14.5…

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Q: Determine d²x a. O A when 4x2 + 3y2 = 4

A: We have given an equation 4x2+3y2 = 4

Q: Find of 4 sin 2y cos x=2 dx a=tan(2y) tan x b.=tan(y) tan x c. =tan(2y) tan x dx

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Q: Convert the equation x = -1 to polar form and use Desmos to sketch its graph. The resulting polar…

A: To find:-

Q: √x/2 0³ cos(0²) de

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Q: Use the graph of the quadratic function f(x)= a(x - h)² + k to find the vertex, axis of symmetry,…

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Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded on the…

A: The region bounded on the left by the circle , on the right by the line , andabove by the line  is…

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = In(2 + sin(x)), 0≤x≤ 2π…

A: Given: To Find: To Find: To find the interval(s) on which  is concave up and concave down.To find…

Q: 1. Short Answer: (a) Find the sum: Σkk(6k - 4). (b) If f¹0 f(x) dx = -7 and ₁0 f(x) dx = 5, find f…

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Q: TC 1. When verifying the identity cot²x + 1 = csc²x for x = 3' of the identity, to the nearest…

A: When verifying the identity  at , to find the value of the identity to the nearest tenth.

Q: Find the values of a and b that make the following piecewise function differentiable everywhere.…

A: To find the values of  and  that make the following piecewise function differentiable everywhere.

Q: 14. 3 x² + 3y² - 6x - 18y + 3 =0 is the equation of a circle with center (hk) and radius 5 for: h =…

A: The equation of a circle with centre (h,k) and radius r is

Q: 32.A point of symmetry of the function f where f(x) = a) (3,-4) b) (3,5) c) (-3,-4) d) (-3,4) 1 - +…

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Q: tan 11 t 12 X

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Q: Let P(x) be the predicate, “5x + 1 is even.” a. Is P(15) true or false?? b. What, if anything, can…

A: The predicate is true when it gives a true result as per the given statement when a value is…

Q: Find the general solution of the given second-order differential equation. y" + 18y' + 81y = 0 y(x)

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Q: Find the value of X, Y, and Z using Gaussian Elimination and Back Substitution in the given linear…

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Q: provide in clear format

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Q: Find the general solution of the given second-order differential equation. 16y"8y' - 3y = 0 y(x) =

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Q: 8. Use the 3rd degree Taylor polynomial centered at x = 0 for f(x) = e to estimate e and determine…

A: The Taylor series around x=a for function f(x) is given as

Q: For the function y = f(x) = 1x³ +4: df dx ƒ'(−7) = 147 a. Find at x = -7. b. Find a formula for x =…

A: The given function .To find,(a)  at .(b) .(c)  at .

Q: Find the length of the curve. || r(t) = √√2ti + eħj + e¯ªk, + etj+e-tk, 0≤t≤9 X

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Q: The velocity of a runner (at half-second intervals) during the first three seconds of a race is…

A: We have to find the overestimate of the distance travelled during 3 seconds.We have given velocity,…

Q: Write the equation of the plane tangent to the surface of x^2+2y^2-5z=1 at the point (2,1,1)

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Q: Find the derivative d dt (4 sin t).

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Q: Find the Maclaurin series for cos(x) using the Maclaurin series for sin(x). x³ x5 x7 3! 5! 7! Sin(x)…

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Q: 4 Use the definition of the derivative to find the derivative of f(x)=x²-x+4 (Show your work)

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Q: An agricultural sprinkler distributes water in a circular pattern of radius 110 ft. It supplies…

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Q: Suppose that a thin metal wire in the shape of a semicircle occupies the curve C, where C' is the…

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Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s²…

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Q: Choose the word that best completes the following statement. The graph of f(x) = 5x² - 10x - 3 opens…

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Q: The marginal profit of a product is given by P'(x) = 26 -0.079e0.5x dollars per item, where x is the…

A: Given:We are required to find:

Q: Consider the statement, "If you will give me a cow, then I will give you magic beans." Decide…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 9 sin(x) + 9 cos(x),…

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Q: 10dx 4x³-4x²+5x S-

A: