Determine a vector equation for a line that goes through the following points: (-8, 7, 8) and (-10, 13, 4)

Q: 4. Use the method of substitution to find evaluate the following indefinite integrals: sin(x) cos³…

A: We need to solve integrals.

Q: 6. Find the surface ares for the part of the graph f(x, y) = ²-3ay+2 that lies above the triangular…

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Q: (a) Estimate the area under the graph of the function f(x) = endpoints. Round your answer to four…

A: Let's find area under the curve  by using right and left endpoints.

Q: Consider the differential equation given by: = -3y + 18 dt (A) What is the equilibrium solution? (B)…

A: Note:- These are multiple subparts question and according to company guideline we can do maximum 3…

Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

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Q: Let f(x) = = Compute f(1) ƒ'(1) f" (1) f" (1) f(iv) (1) = f(¹) (1) || || = 4 + 6x X C T

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Q: √9-1² - Compute the following double integral LS sin(x²+y2) dy dx by converting to polar…

A: The given integral: ∫-33∫09-x2sinx2+y2 dydx

Q: Use the ratio test to determine whether m an+1 an n=21 = lim n-→∞0 9n Find the ratio of successive…

A: Given query is to apply ratio test.

Q: Assume that f is a one-to-one function. (a) If f(1) = 17, find f¯¹(17). (b) If f¹(2) = 9, find f(9).

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Q: Consider the indefinite integral fz6 · Væ² + 1 dr: 5 7 . This can be transformed into a basic…

A: To solve the following integration problem

Q: Find f if f(x) = sin(x), f(0) = -7, f'(0) = -1, f" (0) = 2. f(x)= cos(x)+1x^2-1x-8

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Q: A storage bin has the shape of a cylinder with a conical top. What is the volume of the storage bin…

A: volume of storagr bin is volume of cylindwe +volume of cone volume of cylindwe =πr2hvolume of cone…

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. ≤ 0…

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Q: Determine whether the series is convergent or divergent. In(n) ₂2 n = 2 convergent divergent

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: +∞ c. [to pote C. 88 e (2²+y²) dady

A: Let's solve given double integral.

Q: F = Vo represents the where is a and F is a choose one of the following answers to fill in the…

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Include a multiplication…

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Q: Match each of the Maclaurin series with the function it represents. x²n+1 (2n + 1)! A. arctan(2) B.…

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Q: Compute each of the following values: 4 6² (a) g(x) dx =

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Q: [Directional Derivatives] Calculate the following directional derivatives. w(x, y, z) = xy^2 / z^2…

A: Directional derivative of the function f(x,y,z) at (a,b,c) in the direction of (x,y,z) is given by,…

Q: Determine whether Rolle's Theorem can be applied to fon the closed interval [a, b]. (Select all that…

A: Given function:- fx=x3-48x-6

Q: Stan²x sec4x dx

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Q: Compute the Taylor series of the function around x = 1. f(x) = (x − 3)2 f(x) =   please show step…

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Q: new factory in a small town has an annual payroll of $8 million. It is expected that 75% of this…

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Q: Consider the following. f(x) = In(x − 3) - 1 (a) What is the domain of f? (Enter your answer using…

A: this is question of function  here function is given we have to find the range and domain of…

Q: Evaluate the integral by making the appropriate substitution: u = k dx (4x + 1)² = dx ' (4x + 1)² ²

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Q: Use the properties of limits to compute the following limit exactly lim [(x-3)³ (5x+1)²]

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Q: Determine the slope of the line through the points (8, 13) and (-2, 3).

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Q: The function f(x) = sin(72) has a Maclaurin series. Find the first 4 nonzero terms in the series,…

A: Since you have asked more than one question. I have done first for you. If you want answer of more…

Q: Find a formula for the inverse of the function. y=e7-x ƒ¹(x) = In + 7 x y =

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Q: Consider the following. f(x) x³ + 9, g(x) = √√√x X (a) Find the function (fog)(x). x + 9 (fog)(x) =…

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Q: 21. What's the standard form equation of a parabola with directrix x= -10 and focus (10, 0)?

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Q: 35. For m = (-5, -6) and = (6, −9) find the sum of the vector three times the magnitude of m and the…

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Q: 6. C. a. Sketch the solution to the system: y sx 4 x ≥ 0, xs 3 y = -2 b. Find the coordinates of…

A: Here we have given different inequalities: y≤x+4 x≥0, x≤3 y≥-2 a). Now plotting the given…

Q: +5 ο 2 -2. 7=1 4" n (2n)! 4/(1+1), (6(+1) ( 2 (n+1))! 4/20 (zn)! 2ntit. 1:m 1700 hod 2ntl linn (1)…

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Q: Consider the following. f(x) = In(x-3) — 1 (a) What is the domain of f? (Enter your answer using…

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Q: A tank contains 500 m³ of solution with 12 kg of dissolved chloride. A water enters the tank at rate…

A: Let's find amount of salt in the tank after 5 minutes.

Q: Find the foci for (x-6)² 9 + (y-7)² 25 - (a) F₁ = (6, 11) and F₂ = (6,3) (c) F₁ = (-6, 11) and F₂ =…

A: Find the foci for (x-6)29+(y-7)225=1

Q: Find the volume of a pyramid with height 16 and rectangular base with dimensions 3 and 10

A: To find the volume of a pyramid with a height of 16 and a rectangular base with dimensions 3 and…

Q: 12 If IF (¹², f(x) dx = 15, then compute the value of the following definite integral. 4 [*F f(3x) +…

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Q: Find the derivative of the function using the Fundamental Theorem of Calculus. F'(x) = x5 F(x) = = =…

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Q: Find an antiderivative F (1) with F' (1) = ƒ (1) = 11+24³ +1024 and F (1) = 0. Remember to include a…

A: To find an antiderivative Fx with F'x=fx=11+24x3+10x4 and F1=0.

Q: 6.4 Find the largest integer smaller than -3/2

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Q: 5. Let A, C 0 and A# C. Solve for x A(x + B) = -C(x - D) +2

A: The given equation, Ax+B=-Cx-D+2, A,C≠0 and A≠C. We have to solve this expression for x.

Q: √3-4

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Q: Determine the slope of the tangent to the curve y = x^2 - x at the point with x -coordinate 4. Show…

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Q: Determine a vector equation for hte line through the point: (-2, 0, -8) perpendicular ot the plane:…

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Q: Sales of the Average sales = Submit Answer 672 arning Calculus tutorial software packages are…

A: Given f( t ) =  t2t3 + 6 as we know that average of f( t ) = ∫t1t2f( t )dtgiven t1 = 3  &  t2 =…

Q: 00 Š 00 dx dy (x2 + 64)(y2 + 16)

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Q: Use f(x) = 5x − 4 and g(x) = 2 − x2 to evaluate the expression. (a)     (f ∘ g)(x) (b)     (g ∘…

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