What is the volume of the composite shape to the nearest whole number? 5 in. 15 in. 6 in. 10 in. 16 in. Oa. 2,138 in Ob. 1,178 in Oc. 1,035 in 3. Od. 960 in 3.

Q: QI/ Evaluate: 1-S(y3" + y2n + y")(2y2" + 3 y" + 6)i dy.

A: Proceed as shown below...

Q: - Evaluate Lf²f²8x³yz dr dz dy.

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Q: a) Show that the work performed by a constant force (not necessarily in the direction of motion) can…

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Q: 12. What is the rule for the translation? * B. ty 4 ·A A' -4 0. 4 -2 (x-1. y+2) (x-2. y 1) (x+2. y…

A: To find the rule for the translation.

Q: Find d²y 히 2 dx y = -5x + 2

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Q: If f(x, y): X 2y + 1 use the definition to find af (x, y) ду

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Q: 5. y' = -4x/y, y(2) = 3 %3D %3D |

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Q: ) Di Pfeventiate (It n²)" with relpect to u?

A: Let  u = (1+x2)n and v = x2 Then we have to find du/dv   Since ,  du/dx = n(1+x2)n-1(2x) and dv/dx =…

Q: how do you do the scalling to obtain the approximation?

A: Scaling down theory:    In practice it is best to “scale down” each approximation before proceeding…

Q: 22. Reflect in the x-axis. D 4+ 3- -6 -5 -4 -3 -2 F2 -2 4- -6- a. D'(-3, 4), E'(-6, 4), F'(-1, 0) b.…

A: When a coordinate is reflected about the x-axis then its y coordinate remains the same but the sign…

Q: Translate Q (0, -8) using (x, y) → (x - 3, y+ 2). Your answer: O Q'(-2, 5) Q' (3, - 10) O Q'(-3, -6)…

A: The transformation is, (x,y) ------> (x-3, y+2) So, (0, -8) ------> (0-3, -8+2)

Q: f(x, у, 2) dV

A: Given data:     The expression for the given integral is The given function is: f(x,y,z)=e5z. The…

Q: Evaluate () ex dx, (b) (5) 2 -2x dx.

A: Note: We'll answer the first question since the exact one isn't specified. Please submit a new…

Q: d 3) Find 6 '+2t – 9)

A: To find:

Q: 19 45

A: Concept : for right angle triangle sin(θ) = lenght of opposite side for θhypotenuse of right angle…

Q: What translation rule maps P(-3, 1) to its image P'(2, 3)? ty P. 01

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Q: Find ¹ f₁z²dA where R = {(x, y) | 4x² +9y² < 36} . Round your answer to four decimal places.

A: Given: ∬Rx2dA The region R is given as R=x,y | 4x2+9y2≤36 To find: Solve the given double integral…

Q: P + 7, y = t' + 6t, t = 2. d²y %3D 7 dz

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Q: /| r? dr dy ; N: 1 + y < 4r, I< 2, y 2 0

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Q: Use u-substitution for #7 xe* dx

A: Substitute:-         x2 by u then integrate

Q: ole

A: We have to solve given differential equation:

Q: When using Simpson's rule we must having two distinct po.

A: Simpson Rule  Simpson Rule gives the area under the curve. One of the formulas used to find the…

Q: Given the Power Series E A, (x - *)" n = 0 The radius of convergence ( L) is given by the rec A L =…

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Q: 5) f9'd:

A: A detailed solution is given below.

Q: the origin 2 2 S (1-10²1) ² dx -1 2

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Q: x* - x x2 + x+ 1 et dx 1+e*

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Q: If z varies direct to the square of y and y varies inverse to x (x,y,x) = (20,120,100) Then find the…

A: z varies directly to the square of y, so z=my2 y varies inversely to x, so, y=nx Therefore,…

Q: (b) Ji 교2(중교" + 1)dr (c) (ax² + bx + c)dx (d) L.(; + ap(뿌

A: Use the formulas below to evaluate the integrals. ∫xndx=xn+1n+1 +C∫dxx=ln x +C   The logarithmic…

Q: Hello! I was able to get the first two parts then had to move away from the computer and was totally…

A: Given data, x=46 n=96 p=0.4792 z-value at 99.5% confidence is Zc=2.807

Q: O Evaluate (a) e* dx. (h) e* dx. (e) e- dx. 80 Ans. (a) 24. (b) 243 (c) 16

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Determine D,f (4,-1,6) for f(x,y,z) = ery + 4zx in the direction of (-3,2,6).

A: Given fx,y,z=ex2y+4zx3 in the direction of -3,2,6

Q: y = (3x² + x-2)-1; 49 -1 , dy dx

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Q: dy **+y = xy? ii. .2

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