Find a vector equation for the line through the point (4, 5, -1) perpendicular to the vectors , 6, −8) and 7 = (8, −6, 3).

Q: f(t) = - 16t² + +268t + 10 is the height (in feet) of a ball launched straight up t seconds after it…

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Q: Find the displacement of a particle moving in a straight line with velocity v(t) = 30t - 5 m/s over…

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Q: ifferentiate. 12) y = (x2 - 2x + 8) ex A) (x² + 4x + 6) ex C) (x²+6) ex 1 [ 2 ² + x + 1] x B) ex 3…

A: Given query is to find the derivative.

Q: Find the area under the given curve over the indicated interval. 28) y = 7; [2, 9] 9+y 8+ 7+ 6+ 5+…

A: We have to find area of the given curve y=7 on the interval 2, 9. There will be two methods to find…

Q: Find the sum of each series. Explain your answer in details. a) 2+0+(−2)+(−4)+⋯+(−38)

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Q: Find limt →0 1 t+2 2 t

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Q: .9 A student invested $10,000 in SP500 index now (in 2021). His colleague made the same investment…

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Q: X^2-4*x-17/4=0

A: We have to find the values of x.

Q: Write 40% as a fraction and use your answer to find 40% of 300.

A: a% can be writen as =a100

Q: In Exercises 9.2.15-9.2.27 solve the initial value problem. Graph the solution for Exercises…

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Q: *32 If 13² ₁ f(x) dx = 18, then compute the value of the following definite integr. f(32/x³) dx 2…

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Q: You receive two job offers: Job A: $41,000 starting salary, with 6% annual raises Job B: $52,000…

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Q: (a) If g(x) = 2x + 2 and h(x) = 4x2 + 8x + 9, find a function f such that fo g = h. (Think about…

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Q: What is the point ony = 2√x A (2√2.244) B (4,4) (2.2√2) that is nearest to (4, 0)?

A: Topic - Application of differentiations We are given an equation of a curve as y=2xand a point as…

Q: 2 ) Solve the initial value problem: g' (t) = 72; 9′ (− 1) = g(1) = 1. g"

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Q: (√a +2√b)(√a-2√√6).

A: we know that  (a+b)(a-b)=a2-b2

Q: Find a set of parametric equations for the rectangular equation that satisfies the given condition.…

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Q: Find the rate of change of total​ revenue, cost, and profit with respect to time. Assume that​ R(x)…

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Q: ďy dx² If xy + 2 = -x then find y at the point (1, -3) in simplest form.

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Q: (a + 2b-3c) (ab+c).

A: let  I=(a+2b-3c)(a-b+c)

Q: 10).  Compute the Taylor series of the function around x = 1. f(x) =  x 4x − 2x2 − 1 f(x) =  ∞…

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Q: Consider the parametric equations x = (t + 1)² and y = t + 2 for-3 St≤ 3. (a) Make a brief table of…

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Q: 1 Solve for the differential of y when y=sin (1x). x= 3 and dx = N|H

A: The given function y=sinπx. We have to find the value of the differential dy, when x=13 and dx=12.

Q: Find sin 2x, cos 2x, and tan 2x if sin x=-5/13 and x terminates in guadrant III.

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Q: Evaluate the integral [(2x + 5) (x² + 5x + 9) ³dx 3 by making the substitution u = x+5x+9. + C

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Q: Solve 7x + 5 = 3x –  11 then  x =

A: we have to slove the above question

Q: 2. Determine if the Mean Value Theorem can be applied to the following function on the the given…

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Q: Determine whether the series converges or diverges. Σ(1+1) (¹ ²0 n = converges diverges e-n

A: We can check whether the given series is convergent and divergent .

Q: n a trend that scientists​ attribute, at least in​ part, to global​ warming, a certain floating cap…

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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: Find f'(x) if f(x) = - 32 - 342 6x² 322 x 8x³+x4 82 8a+a 3 æ3 _ 113 2

A: Given query is to find indicated derivative.

Q: Find an antiderivative of 7 z4–9 z6 27 Antiderivative = in the variable where x > 0. Remember to…

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Q: 2). Find the Taylor polynomial of degree two approximating the given function centered at the given…

A: According to question,Given Function,fx = cos2x

Q: Evaluate the integral: 2 √√4-2² ○ 4π [²4] -1 21 02[1-4] e4 021-4+0 ㅠ -1 e4 dydx -√4x² ex² + y²

A: Answer is in step 2.

Q: 3y2-12x-6y-9=0 1. Write in standard parabola form 2. Find the center, vertices, foci, and…

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Q: The marginal cost function associated with producing x widgets is given by C'(x) = -0.6x + 100 where…

A: Given query is to find the cost of producing first 100 unit.

Q: ). Find the Taylor polynomial of degree two approximating the given function centered at the given…

A: Given function:- fx=x Taylor series is given by fx=∑k=0∞fkak!x-ak

Q: Compute the average value of f(x) = √4x + 1 on the interval [0,2]. Average value =

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Q: 2. Use a double integral in polar coordinates to find the volume of the solid bounded by the graphs…

A: Solution is given below:

Q: P3 Find the Maclaurin expansion for the following functions and indicate for which values of a it…

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Q: A cylindrical soup can has a diameter of 3 in. and is 4.7 in. tall. Find the volume of the ca in.3…

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Q: With a present value of $140,000, what is the size of the withdrawals that can be made at the end of…

A: With a present value of $140,000, what is the size of the withdrawals that can be made at the end of…

Q: A) 13 B) 글 2/3

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Q: S cos xdx 24 sinx

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

Q: Question 3. Find the orthogonal trajectories of the family of curves y x+k

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Q: Use Stokes' theorem to write a surface integral that is equal to the line integral F. dr around the…

A: Please see the below picture for detailed solution.

Q: For this week's discussion, you are asked to generate a continuous and differentiable function f(x)…

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Q: 16(0.64)n-1 n = 1 O convergent O divergent If it is convergent, find its sum. (If the quantity…

A: Series

Q: 5 6 (Type an integer or a simplified fraction.)

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Q: Calculate the indicated Riemann sum S3 for the function f(x)=x²-8x - 33. Partition [0,6] into three…

A: Let's find Riemann sum S3.