Find the area of the shaded region. y x = y° - 10 y 10 75 15 4' 2 -30 - 20 - 10 x = 5 y- y -5 - 10

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A: The given matrix,9-157

Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. tv 6t2 + 5 dt...

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Q: Evaluate the integral J 2x(x² + 6)¨ dx using the substitution u = x2 + 6. | 20 (a? + 6) " d.x +C

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A: The given function is; f(x)=3x-8.

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A: We need to find average sales in % weeks.

Q: If y = 4x³ + 2x² + 11, find the approximate value of y when x = 2.01, using differentials.

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Q: A police car is located 60 feet to the side of a straight road. A red car is driving along the road ...

A: Solution: A police car is 60 feet to the side A red car 130 feet up the road  

Q: For the demand function q= D(p)= 346-p, find the following. a) The elasticity b) The elasticity at p...

A: Given q=346-p

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Q: Prove Jhab sinY Tim lim e-1 lim Sin y ニ ン と Siny S iny

A: Given,            limx→0sinxex-1=limx→0ex-1sinx=limx→0esinx-1xTo find : Prove the given limits.

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A: Find the double integration. 

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Q: Find the most general antiderivative. A B D

A: Let's find. 

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A: We can answer all parts as below.

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

Q: Farmer Lindsey estimates that after t days, her crop will be increasing at a rate of r(t)  =  15t8 +...

A: Solution ) r (t) = 15t8 + e-0.76t when t = 0 r(0) = 15×(0)8 + e--0.76×0 r(0) = 0 + e0 r(0) = 0 + 1 r...

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Q: ,5x-2 If f(x) = 2 + e%r-2 %3D then f-'(3) = %3D

A: Topic = Functions

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A: ∫un du = un+1n+1+C ; where , 'C' is an integration constant. dsin(x)dx = cos(x) dtan(x)dx=sec2(x) dc...

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Q: Suppose the rate at which consumers purchase peanut butter is increasing at a rate given by  f ′(t) ...

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Q: 1. Find the function f(x) if f'(x) = 3x² – 2.x +5 and f(0) = 5 %3D

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min....

A: We will use concept of derivative to solve this. 

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A: We need to find sum of the series.

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Q: nd the area of the region between the parabola y=64-x and the x-axis. Round your answer to three dec...

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

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Q: S (5+x>(4 - x2) dx (A 20x B 20x 20x D

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Q: Suppose the sales of potato chips generates a profit at the rate P′(t)  =  10t ln(7t) dollars per we...

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Q: Given the matrix and its eigenvalues 2 3 3 2 Find the eigenvalues for this matrix, then use them to ...

A: For finding eigenvalues of Matrix A , find A-λI =0.

Q: dx Perform the Integrations 1+ sin x+ cos x Use the editor to format your answer

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Q: Find the area of the region between the parabola y = 9 - x2 and the x-axis. Round your answer to thr...

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Q: Find the most general antiderivative. dx x2 A 2- +C В с © -2.c (D 2

A: topic - anti derivative of  a function

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A: ∫xn dx = xn+1n+1+C ∫af(x) dx = a∫f(x) dx

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A: The given integral,∫x sin-1x dx1-x2

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A: We will solve using integration by parts. 

Q: dder the folowing. TX) - V 30 - tch the graph of the function. Use a praphing utlty to vertfy your g...

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

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Q: Consider the following function RX) - 9x - 7 Determine whether the function is even, odd, or neither...

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Q: d²y The points (1,3) and (0,2) are on a curve, and at any point (x, y) on the curve, dx² 5 – 2x. Fin...

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A: Given query is to eveluate the integral.

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Q: 2. An open box will be made by cutting a square from each corner of a 6-ft by 6-ft piece of cardboar...

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Q: Use the Root Test to determine if the series (-1)"2* en² (2n² – 1)" n=1 converges or diverges.

A: By using the Root Test to determine whether the given series converges or diverges.∑n=1∞-1n21nen22n2...

Q: Find the area bounded by the parabolas (x 1) 4ay and y2 + 4a = 4ax.

A: