Use an appropriate coordinate system to find the volume of the given solid. The region inside z = -√5x²+ + 5y² and between z=4 and z=12 V=

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A: I=∫ 6+z536z+z66dz

Q: Sketch the region of integration and change the order of integration. [['ax. no f(x, y) dx dy f(x,…

A: To sketch the region of integration and to change the order of integration. ∫05∫0yfx, y dx dy

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A: Here we have composite trigonometric functions. First we need to solve inner function and then outer…

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Q: = Evaluate the following indefinite integral fx-¹5/2 dx +C

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Q: А b C с = a = 17 12,2° 24 - В

A: The figure of the triangle is given by To determine: The value of b Formula Used: b = a2+c2-2ac…

Q: a. e (6+Inx) 2 1 -dx b. 3. ¾ x je 1 -dx c. +7 dx J d. 3

A: As per guideline we can solve maximum three subpart you can repost

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Q: The definite integral What is u? [² In the computation below, determine the values of a and b, and…

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

A: Let R be the region bounded by the following curves. To find the volume of the  solid generated when…

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Q: The function f(x) = - 4x³ + 11.76x² + 90.792x + 6.31 is increasing on the open interval ( It is…

A: Given: The function fx=-4x3+11.76x2+90.792x+6.31 To find:   The open intervals on which the…

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A: We know that the power series formula 1/(1-x)=sum_(n=0^infinity) x^n

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A: We have to set up the integral for volume of solid using shell method.

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Q: Use the Midpoint Rule with n=4 to approximate è, where S TT= 4 1 + x² dx 15%

A: We need to use midpoint rule to evaluate integral.

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Q: 13. Step 1: Solve each equation for its independent variable and match it to its corresponding…

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Q: 8. State the intervals over which f(x) = x¹ + x³-2x² +4 is concave up or concave down and find any…

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A: As per our guidelines we are supposed to do first question only. Kindly repost other questions.

Q: For matrix A = A. C. (38 54 27 29. 29 27 54 38/ Select one: O A O B OC OD 4 (§). 3 if f(x) = X² - 5,…

A: A=4635f(X)=X2-5

Q: Answer only B

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Q: f(t) = 90 - 15 log10(t+1), Osts 12 where t is the time (in months). (a) Use a graphing utility to…

A: To solve the following problem: According to our company's guidelines I can only answer first three…

Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. log3(92.24)…

A: let  M=log392.24from properties of log function (i) logaa=1(ii) logxn=nlogx(iii)  loga.b=loga+logb

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A: We have to find the horizontal distance at which maximum height occurs.

Q: Find the centroid of the region. NOTE: Enter the exact answers. (x, y) = (?, ?) Y y=√169x² x

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Q: Use L'Hôpital's rule 1. lim x →+∞ sin 1 ~|8| 2 x

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Q: Let F = (x,y,z) and C be parameterized by r(t) = (cost, sint, -5), for 0 st≤ 2. Evaluate Use a…

A: Given that F=<x,y,z> and C be parametrized by r(t)=<cost,sint,-5> for 0<=t<=2pi .

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A: As per guidelines we support only one question in one request. kindly repost next question in next…

Q: #3 please Find the convolution f(t) * g(t) in Problems 1 through 6. 2. f(t) = 1, g(t) = eat 4. f(t)…

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Q: value of when = f f(x) dx I = f(x) dx = 9, f(x) dx = 8.

A: integral

Q: cruc 2. A rectangle is inscribed in the area bounded by x-axis and the graph of y = 12-² with one…

A: We use second derivative test and critical points to get the maximum area.

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Q: Consider the following region R and the vector field F. a. Compute the two-dimensional curl of the…

A: Given, F=<-2y,4x> R is the region bounded by y=sinx and y=0 for 0≤x≤π.

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Q: INTEGRAL CALCULUS Problem Solving. Show your solution on a separate sheet/s and write your final…

A: *Note – As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: What is the sum of the infinite series 1 - ()² + (¹ - (9) B B 2 (;) + ··· + (5)²″- ... 2n (-1)"…

A: We need to find sum of the series.

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A: to find out the interval on which the given function is concave downward strictly.

Q: -1 3. Use the IFT to prove dx √1-x² (HINT: you'll need to draw a triangle like you did in precalc,…

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Q: 26. What is b if (log₁x) b = 1 -? 3x

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