Find how fast the volume of a parallelepiped is increasing if its edges a, b, and c change at rates 0.1 units/s, 0.2 units/s, and 0.1 units/s, respectively, when a = 3, b = 10, and c = 6.

Q: Two sides of an oblique triangle are measured to be 8 and 2. If the angle between the two sides…

A: According to question,Given Sides of triangle are 8 and 2 units.

Q: Given the definitions of f(x) and g(x) below, find the value of (ƒ o g)(−1). f(x) = -x - 12 a(r) &…

A: The function is given as f(x) = -x -12 g(x) = x2-5x-5

Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

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Q: Evaluate the indefinite integral. 6dx x ln(2x) + C

A: Given ∫6xln2xdx

Q: 1- Insert four arithmetic means between 3 and 7. 2- Say whether each given sequence is an arithmetic…

A:

Q: Consider the indefinite integral + U a) This can be transformed into a basic integral by letting du…

A: The given integral is: I=∫lnz5zdz   ....1   Use the common derivative. ddxlnx=1x

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: The cuberoot of a number can be approximated by the recursive formula 1 3 Sn = 25n-1 + A (Sn-1)²)…

A: Let's find second iterative value.

Q: Sexy² dx + 2x²ydy where C is the triangle with 7) Evaluate vertices (0, 0), (2, 2) and (2,0)

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Q: Find the area of the region bounded by y = x² and y = 2x using horizontal strips and vertical…

A: We have to find the area of the region.

Q: 3) Find curl (xyi + yzj + zxk)

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Q: Evaluate the integral (use exact values): -4 22³-5x²+1 dx

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Q: 2) The solid S consists of the points above xy-plare, below cone x²+y2=2², enclosed by the surfues…

A: According to question,Given cone,x2 + y2 =z2,Given Surfaces,y = x,x = y2.

Q: Sat) Evaluate the integral using an appropriate substitution. x√1-x dx = + C

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Q: Two sides of an oblique triangle are measured to be 6 and 2. If the angle 9 between the two sides…

A: We have to find the rate of the increment of the opposite side.

Q: 3A using Find the approximate value of differentials if A = 29.5. Round off the final answer to five…

A:

Q: If what does the following integral equal? - 26 - 96 [7f(x) + 3g(x) — h(x)]dx = = I 26 f(x) dx = 8…

A: use the algebraic property of integrals.

Q: f(x, y) = e³y - 6ye⁹x Local maxima are Local minima are Saddle points are ww ww

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Q: Compute the given integral. fre-³ dx = +C Question Help: Video Message instructor Submit Question…

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Q: Solve the given differential equation. dy=8x√16-y2 A) y = 4 sin (4x² + C) B) y = 4 sin¹ (4x² + C)…

A: dydx=8x16-y2

Q: 2. Consider a toy of density p(x, y, z) = z given by the region bounded by the paraboloid z = x² +…

A: Let's find mass of toy.

Q: Find the x-coordinate of all vertical tangents and/or cusps (be specific): f(x) = (9− z ² ) =

A: The given function fx=9-x213. We have to find the x-coordinate of all vertical tangents.

Q: 1. A water balloon is tossed in the air from a window. The balloon's height in meters at timer in…

A: We have to graph the function and find average rate of change.

Q: (c) Triangle ABC has a = 7 in; b = 8 in and c = 10 in. Solve for cosA. CAL 22/20

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Q: Find the surface area of the helicoid (spiral ramp) with vector equation T(u, v) (u cos v, u sin v,…

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Q: Use the method of Lagrange multipliers to minimize the function subject to the given constraints.…

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Q: An object moves along the x-axis so its x-coordinate obeys the equation, where a = 15, b = 9, and c…

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Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

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Q: -0 -√₂x√3 - x² dx rv3

A:

Q: Find the minimum possible sum of two numbers whose product is 101.

A: We need to find numbers.

Q: We are interested in the first few Taylor Polynomials for the function f(x) 7e² +2e= centered at a =…

A:

Q: The nth term of a sequence is given. n-1 -2-(--/-)² - ¹ an = (a) Find the first five terms of the…

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Q: Find the volume of the solid bounded by z = 9 - y2 and plane x = 2 on the first octant using polar…

A:

Q: write the answer in 4 decimal places please

A: Topic:- application of derivatives

Q: A right conical tank with the point oriented down, a height of 17 feet, and a radius of 5 feet has…

A:

Q: Write the first five terms of the geometric sequence whose first term is 2, and whose common ratio…

A: Find the first five term

Q: Find the surface area of the helicoid (spiral ramp) with vector equation F(u, v) = (u cos v, u sin…

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Q: 20 4 02 2 00-2 (a) Enter X₁, the eigenvalue with algebraic multiplicity one, and then X2, the…

A: Accordind to question,given Matrix,A = 20402200-2

Q: 9x 2 dx ,2

A:

Q: Find f²2²0 1 -dx + C

A: Indefinite

Q: Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x…

A: The answer is given below:

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 3, 12, 48, 192, ... The…

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Q: Suppose that an+1 an →1 as n →→∞o. Find the radius of convergence. ∞ n=1 anxn 4"

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Q: Find an orthogonal basis for the space spanned by 0 0 and 3 2 Address

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Q: Let f(x) = x² g(x³). Suppose g(64) = 7, g(48) = -4, g' (64) = 4, and g' (48) = -3. Find f'(4) =

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Q: Evaluate the integral f25 (2-6) dx by making the substitution u = -6. + C

A: Given integral:- ∫x5x6-67dx

Q: Use the integration table to find the indefinite integral. (Use C for the constant of integration.…

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Q: Find the coordinate of the point P(x,-3), the unit circle using the fact that P lies on using in the…

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Q: Given the definitions of f(x) and g(x) below, find the value of g(ƒ(6)). f(x) = 2x 15 g(x) = 3x²…

A: Solve the following

Q: Use the integration table to find the indefinite integral. (Use C for the constant of integration.…

A: We have to solve given indefinite integral by using a standard formula