Evaluate the integral using an appropriate method. [15 15 cos²x sin³ x dx

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Q: * The following geometric series +∞ Σ n=0 3n+2 +5 11n+1 O converges to 16/9 O converges to 39/14 O…

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Q: 13 Find p, q if f f(x) dx + f₂³f(x) dx = f f(x) dx. (Give your answers as whole or exact numbers.)…

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule

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A: Please refer to the image below

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Q: Use the method above to find a second independent solution of the equation ty" - y' + 4t³y = 0, t >…

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Q: Question 15 of 20 < View Policies Current Attempt in Progress Determine whether the statement is…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: True

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Q: 1. (a) Suppose u = 3î+2j-1k and v= 0î+ 55+7k. Simplify the single expression: (u.v) (ux v) (b) Write…

A: We have to solve one question Please repost other questions again

Q: Find the critical numbers of the function :

A: For finding the critical number, find the derivative of function and set to zero.

Q: Specify the substitution you would choose to evaluate the integrals. S (t + 4) e²+8+1 dt Ou=t+4…

A: The given integral is ∫t+4et2+8t+1dt. We have to find substitution for the integral.

Q: 3 If f(x, y) = x³ + y² − 1, then the directional - derivative at the point (-1,2) in the direction…

A: A detailed solution is given below.

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Q: Find the slope of the line tangent to the polar curve at the given points. 7-49 cos26. (0.7). (0.-)…

A: Slope of the tangent line at given point for curve r2=49cos2θ

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Q: Find the limits. f(x) = x + 2 (a) (b) (c) lim X-15 g(x) = x² f(x) = -3 lim g(x) = 0 X40 X--5…

A: Solve the given

Q: Halla la derivada de la función g(x): 8 ( x ) = sin -5 √/2 - 1 dr

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Q: estion 4, 6.2.7 Solve the triangle. a=3, b=14, c = 13 O > 13 points O Points: C A b=14 c=13

A: Please refer to the image below

Q: 9. Let f(x) = 10 z+12 2 10 For each of the following limits involving f, either evaluate the limit…

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Q: 3. Find the total derivative of V with respect to X. V=3X³ +5Y²+6Z Z=4+5X Y=3X+6Z+5XZ

A: Given, V=3X3+5Y2+6ZZ=4+5XY=3X+6Z+5XZ

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Q: Determine whether the statement is true or false. If f and g are discontinuous at x = c, then so isf…

A: 1. If f and g are discontinuous at x=c, then so f+g. 2. If fx is continuous at x=c, then so is fx

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Q: You are given the function ?(?) = ?4 − 8?3 + 18. Determine (a) the interval where f(x) is increasing…

A: I have solved step by step all parts in detail.....go through the solution

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Q: Find the gradient of the function at the w = x tan(y + 2), (10, 8, -3 Vw(10, 8, -3) =

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Q: Consider the following equation. f(x, y) = y³/x, P(1, 3), (a) Find the gradient of f. Vf(x, y) = u =…

A: As we know the expression for the gradient vector. ∇fx,y=i∂∂x+j∂∂yfx,y=i∂fx,y∂x+j∂fx,y∂y The given…

Q: Find the following for the given equation. r(t) = (e-t, 2t², 8 tan(t)) (a) r(t) = (b) r"(t) = (c)…

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Q: (3) (3) (4) h. y = sin(x² + 1) i. y = 3e4x5 j. y = In√5x3+4

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Q: 1. Determine the interval of convergence for the series: 27 3 9 3x + 3x² + 2. Find a general…

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Q: X2-x+2 x3+4x xp

A: The given integration is: ∫x2-x+2x3+4xdx To find the value of the given integration.

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A: We have to apply Rolle's theorem.

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Q: Choose the correct solution to log2 5 + log2 x = 16 쁨 0 216 5 O 211 No solution

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Q: 10. f(x)=(x+2)(2x-3) 11. 4x-2x+1

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Q: ASIC 0/0 Find p, q if f f(x) dx - f f(x) dx = f f(x) dx. (Give your answers as whole or exact…

A: Please refer to the image below

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A: The objective of the question is evaluate the area by help of midpoint rule.

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Q: Evalúe el siguiente integral: .8 3.1 S³³1-√x -1 x 3 clx

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Q: ! x (x3-2x²+x)(x²+1)* Let f(x) are any constants, which of the following decompositions into partial…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Sketch the plane curve represented by the vector-valued function and give the orientation of the…

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