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Q: 21. Find 1² [f(x) + 28(x)] dx if [²₁ f(x) dx = 5_ and ₁8(1) g(x) dx = -3

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Q: Question 8 Find the derivative -[f (x)] dx Anmospace support = 3 In (In (x²-3x + 5)²) 3(2x - 3)…

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Q: Locate the absolute extrema of the function on the closed interval. (a) f(t) = ₂, [3,5] (b) f(x)=…

A: The given functions,a) ft=tt-2, 3,5b) fx=x3-12x, 0,4

Q: Evaluate the iterated integral. 18 5 (x + y²) dx dy

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Q: When can you not use partial fraction decomposition?

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Q: y = tan 2x 1-cot 2x

A: Given,            y=tan2x1-cot2xTo find : Find the derivative of the given function.

Q: valuate the triple integral ***"* sin² (z)ze-²v³ dzdyda

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Q: Find curl(F x G) = V x (F x G). F(x, y, z) = i +5xj + 3yk G(x, y, z) = xi - yj + zk

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Q: √xdx (1+x)³

A: Follow the procedure given below.

Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: 11. f²(2x - 3) dx 12. ²₂(x³ + 2x) dx 13. f(x² – 2) dx

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Q: e 3 ₁ x³ lnx dx

A: Integration by parts formula:∫u.v=u∫v-∫u'∫v

Q: -. y ln x − x ln y = 4, y'

A: Given query is the derivative of the expression.

Q: dy e2y-1

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Q: 4. Find the antiderivative of 1-t4 = CS the t that satisfies the given condition R(1) = 4

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Q: Assuming that the equation defines x and y implicitly as differentiable functions x = f(t), y =…

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Q: a 10-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

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Q: 5, i, Evaluate the first and second derivatives of the function z=2x4+3x3+2x-5 when x = 4.

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Q: 1. Evaluate JJ (2². R where R = {(x, y) |0 ≤ x ≤ 1,0 ≤ y ≤ 2}. (2x + y) dA

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Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the cylinder y =…

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Q: Determine whether the sequence a₁ = find the limit. Show All Your Work! 1+9n² 1+n² converges or…

A: Given  find limit

Q: 12. y = −3 cos (0 + 1) − 2 Amplitude: Period: Phase Shift: Midline:

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Q: 1 A tank with a capacity of 400 gal initially contains 100 gal of water with 50 lb of salt dissolved…

A: 100gal=Initial amount of water in 400gal tank50lb=Initial amount of salt in the tank1lbgal=salt…

Q: ام 1. ( - 3x2 + 5x - 7)dx

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Q: If F(x) = f(t) dt, where f is the function whose graph is given, which of the following values is…

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Q: Use properties of the cross product to find the area of the parallelogra nerated by the two vectors…

A: Recall: Area of the parallelogram form by two vector a and b is a×b

Q: Find the volume of the solid generated when the region bounded by x = - sqrt(4y) . y = 4 and x= 0 is…

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Q: Find the Definite Integral Exactly and use Desmos to explain what you just found. -2 3. S²(x² - 3*)…

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Q: 4 3. y = sin ¹2x cos4 3x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. y = 3x? – 2x4 - 3x3 + − − 2x + 1; y(4) - 8

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Q: - x³ + x² + 2x + 1 (x² + 1)(x² +2) da

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Q: he equation of the line that passes through the point (-4,-2) and is parallel to the line y=4x-8 is…

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Q: d. y = 2x³ ln(x)

A: Follow the procedure given below.

Q: Use implicit differentiation to find the equation of the line which is tangent to the curve 2xy +…

A: Given equation: 2xy+3x2-5x=4 We know that slope of tangent will be defined by dydx-1,2

Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection.…

A: The given function,  y=13x3+x2-8x+15

Q: 2. x' + - y3 = 1, D2y 3

A: Given :

Q: Consider sin¹x cos³x dx. If we let u= sinx, the integrand can be transformed to

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Q: (b) D₂f = 2 cos(xy + 2z) Dzzf = -4 sin(xy + 2z) Dzzyf = -4x cos(xy + 2z)

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Q: 2. Let f be the function from {a, b, c, d, e} to {1,2,3,4} with f(a) = 3, f(b) = 1, f(c) = 2, f(d) =…

A: givenf(a)=3f(b)=1f(c)=2f(d)=4f(e)=2

Q: The function given is the population change per year of bald eagles in America P'(t) = 0.21t²…

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Q: An airplane leaves City A and flies 125 km due north to City B. It then turns through an angle of…

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Q: (1 + x³) dy - x² y dx || 0

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Q: \1/2 2. y = (2 tan² 20-1)

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

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Q: Determine whether the improper integral diverges or converges. [² e- cos(2x) dx converges diverges…

A: Solving

Q: Find a, and d for each arithmetic series. See Example 8. wwwww 62. S31 61, S20 1090, 920 = 102 64.…

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Q: 8. teyty dy

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Q: Find the instantaneous rate of change cope of the tangent line to 2 (3,-2) 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Question Use the binomial series expansion, 1 for the function f(x) (1 - 2x)² If necessary, round…

A: Let's find.

Q: Find the future value of a $20, 000 annual income stream if it is invested immediately as it is…

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