2 (a) [²9 (b) (c) g(x) dx 9. J g(x) dx 7 [²9(x) g(x) dx

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A: We have to choose the correct option from the given options according to the given information

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Q: Of all numbers that add to 62​,find the pair that has the maximum product. That​ is, maximize the…

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Q: Use integration by parts to evaluate the definite integral. 5.2 14 X ex/T dx

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Q: Use the root test to determine whether the series Since lim n→∞ = 2 n=1 6n n6.3n+1 converges or…

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Q: III. Find the equations of the tangent and normal to each at a given point. Show the graph. You may…

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Q: (D3-2D2-5D +6)y=e4x, Find Yp a. 1 O 24 O b. 1 0 1 6 O d. 4x 1 4x 18 O e. none 4x e

A: To find the particular integral of given differential equation

Q: A function h has graph 2- f(x) = n (-4, 4). If f is defined on (-4, 4) by -1, -4<x<-3, - Ma h(t) dt,…

A: Given: A function h(x) f(x)=-1   -4&lt;x&lt;-3∫-3xhtdt     -3≤x&lt;4   Note: This question can be…

Q: 6. (continuous solution) + P(x)y= 4r where P(x) = 2 if 0 ≤ x ≤1 2 HIN if I ≥ 1 ,y(0) = 3

A: You have Asked only Qustion no. 6, 6. According to question,Given Differential equation,dydx + Px y…

Q: cos(sin^-1u-cos^-1v) Write as an algebraic expression of u and v

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Q: 3. In an experiment, the time (in seconds) needed to empty a column of water is, where h (in cm) is…

A: Here we have  t = (c√h)/d2 Let m = c√h Then t = m/d2 And if x = 1/d2  Then t= mx

Q: Suppose f(x) is continuous on [3, 8] and −5 ≤ f'(x) ≤ 5 for all x in (3,8). Use the Mean Value…

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Q: Assume that the number of people infected by Covid-19 virus is growing exponentially. If the number…

A: Given that the number of people infected by Covid-19 virus is growing exponentially.  the number of…

Q: Determine the intervals on which the given function is concave up or down and find the points of…

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Q: Question 9 (D2 + 5D + 4)y = 3 - 2x, Find Yp a. 11 8 O b. O C. 11 d. 11 11 8 8 ४ | 3 O e. none + 8/3…

A: The given differential equation is: D2+5D+4y=3-2x So, we can also write as: y''+5y'+4y=3-2x

Q: A spherical snowball is melting. Find the approximate change in volume if the radius decreases from…

A: Volume

Q: Compute f(x) f'(x) f"(x) f" (1) = = = = f(iv)(x) = 1 1+x² 2x (1+x²)² f(x) = Σ k=0 (6x²-2) (x²+1) ³…

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 5 for f(x) = ln(x + 1). T₂(x) =…

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Q: 15. Find the average value of f on [0, 8]. 1 0 2 4 X

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Q: The shape below contains a rectangle and four semi-circles. Round your responses to two decimal…

A: Let's find area and perimeter of given shape.

Q: 3. Prove that if a 0.

A: To prove that if a&lt;0 and b&lt;0, then ab&gt;0.

Q: Evaluate answer cos(x)ln(1 + x²) +².8 1+ el.63z-74.8 - dr.

A: ∫11cos(x)ln(1+x2)+x2.81+e1.63x-74.8dx

Q: 6. Consider the function f(x) = e¹/x. (a) What is the domain of f(x)? (b) Find all vertical…

A: Since you have posted multipart question i can do first question as per our company guidelines…

Q: Give A = a -2 0 b 3 -2 -1 3 d L-5 4 AxB = -8 6, B = 5 1 0 -1 2 41 3 9 2 21 -11 31. Find all missing…

A: To find the missing values.

Q: Evaluate the definite integral 2 sin(x)dz

A: we know that   ∫sinxdx=-cosx+clet  H=∫0π2sinxdxH=2∫0πsinxdx

Q: Consider the power series Find the radius of convergence R. If it is infinite, type "infinity" or…

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Q: (D2 - 3D + 2)y=e5x, Find Y = Yc + Yp O a. O b. O C. O d. C₁e* + C₂e² + 1 2r 12 e -X C₁e + C₂…

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Q: 1 C 10 4 3 2 1 To find the blue shaded area above, we would calculate: [ f(x)dx = area Where: a =…

A: Given query is to find the area of the shaded region.

Q: A particle is moving along the curve having the vector equation R(t) = 4 cos ti + 4 sin tj + 6tk.…

A: Given Position vector:- Rt=4costi+4sintj+6tk

Q: (D2 + 5D + 4)y = 3-2x, Find Yp a. 11 8 O b. O C - Od 11 8 11 8 11 8 00 + O e. none X 3 + X 3 X 3 X 3

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Q: Consider the function f(x) = z ln(z). Let T be the nth degree Taylor approximation of f(2) about z =…

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Q: of 1² = = dz 15 is The value of

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Q: Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a…

A: Given: y2=4x+2y

Q: f(x)=x² (1-x)². Local minimum is Local maximum is

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Q: Find the integral. (Use C for the constant of integration.) sin(-9x) cos(8x) dx

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Q: produced to achieve a maximum profit Manufacturing time per ski Finishing time per ski Downhill…

A: To solve the following problem

Q: Use this definition with right endpoints to find an expression for the area under the graph of f as…

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Q: Evaluate the definite integral: √√2x- =dx (simplify your answer without using spaces, parenthesis,…

A: To evaluate the following definite integral.∫1312x-1 dx

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Q: Give A = AxB = a -2 0 -1 -8 -5 b 3 -2 51 c] 6, B = 3 -1] d d 31 4 e 1 0 -1 2 4 39 2 21 Find all…

A: The solution is given below

Q: 8. Convert each rectangular point to polar. Give two equivalent representations for each. a. (2,-2)…

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Q: What is the local maximum values of f(x)=x-6/x^2

A: To find point of local maximum/minimum value, Put f'(x) = 0 and solve for x. The obtained value of x…

Q: Evaluate the definite integral   D=∫π/20sin(2t)dt.     NOTE: Use exact values only. Do not…

A: Given query is to find the integral.

Q: A Airport 25° 47° 28 B 40 779 C Geological Dig 30

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Q: 5. Find the critical points of f(x) = 2x - e and classify using the second derivative test.

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Q: b) (1+x) dz

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Q: maximum profit and the number of units that must be produced and sold in order to yield the maximum…

A: Given query is to find the production level for maximum profit.

Q: Question Find the Maclaurin polynomial p2 for f(x) = ln(x + 1).

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Q: Find the center, foci, vertices, and eccentricity of the hyperbola, and sketch its graph using…

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Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = -13, f'(0) = -6, f"(0) =…

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