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Q: Consider the function f(x), for which f(0) = 3 and f'(0) = 1. Find h'(0) for the function h(x) =…

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A: GIVEN :∫x39-x2dx

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Q: Write the equations of the asymptotes for the function graphed below. Enter "DNE" in the answer…

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Q: 2 Show that the total length of the astroid x¾ + y³ = a³, which can be parameterized as x = acos³0,…

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Q: Evaluate the following double integral over the region R by converting it to an iterated integral.…

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Q: Find the domain and range of the function graphed below. Domain: 3 -5 -4 -3 2-1 Range: 2 1 123 -2 -3…

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Q: 6. 7. 8. dy x- -= x² + y y = x² + 4x; dx In y = C₁e* + c₂e-x; yy" - (y')² = y² In y y−³ = x³ (3ex +…

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Q: Consider the function h(x), for wh h(4) = 5 and h'(4) = 1. Find f'(4) for the function f(x): f'(4) =…

A: given that, h(4)=5 and h'(4)=1 f(x)=h(x)x find f'(4) formula (uv)'=vu'-uv'v2

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Q: 5 Sº dx 400 + x²

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A: Given query is to find the domain and range of the function.

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Q: What is the particular solution for r(x) = 6xe³ª?

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A: By using the defintion of derivative, f'x=limh→0 fx+h-fxh, to find the derivative of the given…

Q: 1. Given x(t), x(t) = { 1 -2 -1 0 -1≤t<1 1st<1.5 2st<3 otherwise a. Draw x(t) b. Find and draw x(t)…

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Q: The cost for x Giants hats is C(x) = 500 + 10x + 100/x and revenue is R(x) = 18x Use the marginal…

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Q: If satisfies the IVP y dy dx = sinx, y(0) = 5, then_y(+1) = A. 6.64 OB. 6.84 O c. 6.54 O D. none of…

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Q: Consider the function f defined by f(x) = its domain. 5+2e-2x 1-16e-2r Our goal in this question is…

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Q: 1. Using IBP, if the integrand involves a logarithmic function multiplied by an exponential…

A: Given :1. A logarithmic function multiplied by an exponential fuction, then   exponential function…

Q: (b) Let f(x) = 1 n<x<n+2, n = 1,2,... 0 otherwise. Prove that f is improperly integrable on (0, ∞)…

A: Please see the below picture for detailed solution.

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Q: Suppose that f(x) is a continuous function over all real numbers, f'(-16)=0, and f''(-16)=27 Which…

A: Given fx is a continuous function, f'-16=0 and f"-16=27

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Q: In order to evaluate could let Ox=2 sec 0 Ou=√x² - 4 2 O x 2 tan ·[ 20²2 √x² - 4 dx, we Ou= x² - 4…

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Q: Make the equation of a circle (x-2)²+(y-2)²=25 into integral function

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Q: Find the domain of the following function. Give your answer in interval notation. Provide your…

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Q: 1) Ax B×C 2) AXBXB 3) BX AXC 4) (A-B) x C A = {1,2}, B = {a}, C = {a, ß}

A: Given, A = {1, 2}, B = {α}, C = {α, β}

Q: Non-exact Differential Equations Verify that the following DEs are non-exact, then find the general…

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Q: Consider the function f(x) = { -x+ 5k − 5, x ≥ 1 k²x, x < 1 Find the value(s) of the constant k for…

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Q: Consider the following function. f(x)=√√√x, (4,2) (a) Find an equation of the tangent line to the…

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Q: Evaluate the integral: (A) Which trig substitution 0 + = 16 sec (8) 0 * = 4 sec (8) 0 + = 16 tan (8)…

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Q: Find the indicated powers by using a suitable representation: 10 a) 1 + 1 2 b) is

A: We have to solve the following... a. 12+12i10     (b). i18

Q: nd div F if F(x,y,z) = xz6 i + 5y7x2 j + 6z2y k.          A. div F = z6 + 35y6x2 + 12zy…

A: To find div F.??

Q: sinh(2 ln(c)) (A) = + 2₂/1/2 2c² (B) c² - 2/2 1 (C) 2-2/2 2c² (D) c - 1 (E) 0 1:37 AM ✔

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Q: Write an exponential decay model with A (t) representing the amount of Iodine-125 remaining in the…

A: Initial amount of Iodine, A(0)=0.72 grams Rate of decay, = 1.15% r=0.0115

Q: Wheat, corn and rice are to be planted on 12000 acres of farmland. Each acre can produce 35 bushels…

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Q: If f(x)= 2 sec (4x), find f’(x) and f’(2) Plz explain step by step

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Q: 5&6.1 Optimal Path(#differentiation) You are a rover pilot on the crew of the initial exploration…

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Q: 1. Convert 11111111112 to decimal number by completing the table below: 1 Therefore, 11111111112…

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Q: 3x + 3y = 2y - 7 Step 2 of 2: Find the equation of the line which passes through the point (14, 5)…

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Q: ii. f (x²+2x)5 (4x³ + 2)dx

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