Find the slope of the function f(x) = V5x at x = 5. V5/2 -25/2 1/2

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A: We have to find the solution of the differential equation.

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A: We are given that sn≤tn≤un  for all n ∈ℕ and both sn and tn converges to L∈ℝ.We need to show that tn…

Q: Use the graph of y = fx) shown at right to determine whether fis continuous at 0. (-6,4) 41 94) Is f…

A: We can solve this as follows:

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Q: * the Area that lies inside r=3+2 sin 0 out side r=2 is

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Q: Without evaluating the constants, the partial fraction decomposition for 5x? – 3 f(x) %3D (x3 -…

A: Given :5x2-3(x3-4x)(x2+3x+2)(x2+1)

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Q: sin in dx X COS21nx

A: A detailed solution is given below.

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Q: Evaluate the following integrals. 4x545 2. 3. fx Vr? - 4dx 4. S(2- sin 4r) dr

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other…

Q: (9) Verify the following (a) cos e + sin 0 tan e = sec e %3D

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: Given the following differential equation (E): y" + 2y' + 5y = 0. The solution of (E) is: O None of…

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Q: (x + y) dx dy dz =? Select one: 9. O 1 O 5 None of them

A: Topic = Integration

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A: Given: ∫124xx2-43dx

Q: Find the equation of the vertical asymptote f(x) = log(x + 1) %3D > Next Question

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Q: Suppose that the marginal cost function of a handbag manufac C"(x) = 3 -x² – x + 200 32 Quotlent %3D…

A: I have stated the used formula in the solution.

Q: €) In VEx dx d) so sce x e Serx tumx dx

A: The objective of the question is evaluate the definite and indefinite integral.

Q: Consider the differential equation (x- 1)y" + y' = 0. By using power series so- lution about the…

A: Please see the below picture for detailed solution.

Q: + NR6. An exponential function can be written in the form y = a(c)* +kwhere the equation of the…

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Q: Test the series for convergence or divergence. 3 3 3 11 3 3 10 12 13 O convergent O divergent

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Q: Without evaluating the constants, the partial fraction decomposition for 5x? – 3 - f(x) %3D (x3 –…

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Q: Using the variations of parameters method for the differential equation y" + 2y'+ y = e* In(x), we…

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Q: Without evaluating the constants, the partial fraction decomposition for 5x2 – 3 - f(x) : %3D (x³ –…

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Q: Green theorem satisfied if the region C is closed True O false O

A: Greens theorem

Q: etermine whether f is continuous at c= 0. - 3x if x #0 f(x) 2 x* + 3x %3D if x = 0 f continuous at…

A: Topic:- function

Q: L,x²(x³ + 8)²dx 19. Use the Fundamental Theorem of Calculus to evaluate:

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Q: 25 Type the correct answer in each box. 37 The vector \ / Is reflected across the line Y = 1 and…

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Q: Find the area under the given function using integration

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Q: 2x+5 Зх +1 5) lim 2х+5

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Q: Given the equation dx + xydy y? dx + ydy. Solve for the solution when x = 3 and y = 0 1. ( ) da + (…

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Q: cos(xy) + secy = 5

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Q: Find the equation of the tangent line at the given point on the curve. xy? = 36. (1,6) The equation…

A: This question is related to equation of straight line, we will solve it using given information.

Q: Q2/ Find the second derivative of the following: 1. 2 Va 2. (x-1)(x2-2x)

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Q: A statue 10 feet high is standing on a base 13 feet high. If an observer's eye is 5 feet above the…

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Q: If Ax) = Vx -1 and g(x) = x+ 1, which expression is equal to fAg(x))? 1+ー1 Wx²+2x (x + 1) - 1 ベズ+x-1

A: Solution:

Q: For some constant a, the following improper integral a | (x2 + 1)e2×dx 2х converges to converges to…

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Q: Question 2 ( x? Consider the function f(x) = . x2 -1 (a) Find the intercepts of the graph of f (if…

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Q: the Area that lies inside r=3+2 sin 0 out side r=2 is

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Q: P8: sin x cos x dx (2 sin x – 1)(sin x + 1)

A: Use the substitution and then partial fraction to solve the integration.

Q: s required to repay a loan that matured to $4,550 on August 14, 2015. ne realized that he could…

A: Topic:- simple interest

Q: If ex) dx = 33 and/ ocx) dx = 16, find (4f(x) + 59(x)] dx.

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