Question ( Which of the following is a unit vector parallel to the vector<-8,-1,4 >?

Q: Find the absolute maximum and minimum values of the following function on the given interval. If…

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Q: ۱۰ ۳ - ۳ - ۲ + y = 2 + 3

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Let r(t) = (2t³/², cos(4t), sin(4t)). Find the equation of the tangent line at t = 0.

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Q: d'y Jse implicit differentiation to show that if y2 + x² = 6xy, then dx² 6xy (y - 3x)²

A: The given equation is; y2+x2=6xy.

Q: Problem 2 Consider the function f(x) = e* (sin x - 1) where x = [0,2]. Answer and show work for all…

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Q: 1. An object is moving along a straight line and its velocity at time t is given b v(t) = t² − 4t -…

A: Given :- ⇒vt=t2-4t-5 By completing square method ⇒vt=t2-4t+22-22-5 ⇒vt=t-22-9 vertex (2,-9)

Q: A triangle has a base that is increasing at a rate of 2 cm/sec and a height that is decreasing at a…

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Q: Use matrices to solve the system of equations. (Use the parameters x, y, and z as necessary. If…

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Q: Find the area of the surface obtained by rotating the curve about the x-axis. 1 x=—=— (y²+2) ³/², X=…

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Q: Find a power series representation for the function. Determine the interval of convergence. (Give…

A: We have to find the power series representation.

Q: The figure below shows a satellite orbiting Earth. The satellite passes directly over two tracking…

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Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

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Q: P3 Consider the curve given by the polar equation An sketch of the curve looks as follows: 21 r =…

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Q: Question 1 ( Consider the points A(2,-1,0), B(-3, 0, -2), and C(0, 3, -1). →> (a) Find the equation…

A: Given points A(2,-1,0), B(-3,0,-2), C(0,3,-1) We need to finda. Equation of sphere with center A and…

Q: A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $11 the…

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Q: (a) x= 3t — 4, y = 6t + 2 (b) x=2cos(t), y=5sin(t) (0 ≤t≤ 2π) (c) x= 2sin²(t), y = 3cos²(t) (0<t<7)

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Q: (1 point) Consider the function f(x) = X 2x² +5 List the x values of the inflection points of f. If…

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Q: Find the equation of the tangent plane to the ellipsoid with the given equation (see image) at the…

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Q: Given the following functions: f(u)=u^(5/2) and g(x)=x^6+1  Find f'(g(x))= (fog)'(x)=

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Q: Solve each equation on the interval [0, 2π]. 5. sin 2x = cos x 7. sin 2x csc x = 1

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Q: 2. Which of the series converge absolutely, which converge conditionally, and which diverge? Give…

A: (2). (a).The given series is:∑n=1∞ (-1)n1n

Q: n=1 9 (3n − 1) (3n+2)

A: To find: ∑n=1∞93n-13n+2 ∑n=1∞9(3n-1)3n+2=∑n=1∞ 33n-1- 33n+2

Q: Evaluate the following indefinite integral: (²) COS S 23 -dx

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Q: 7 Find the derivative of f (w) = w8 + 10w. Enclose numerators and denominators in parentheses. For…

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Q: Express cos R as a fraction in simplest terms. P 28 35 e 21 R

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Q: 1- Suppose you have been hired as an economic consultant concerning the world demand for oil. The…

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Q: Find the critical points and determine if the function is increasing or decreasing on the given…

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Q: Given that f(x) = 1 4 x² Evaluate the 2022nd derivative of f(x) at x =

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Q: B. Solve the problems related to the application of First Order Differential Equations. 2.…

A: We have been asked to find half life of a radio active material which loses 25% of it's mass in 10…

Q: it is predicted that the limiting number of people in the community N(O)-> Need Help? Read…

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Q: Question 12 Find the mass and center of mass of the plate that occupies the region and has the…

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Q: Part 1: Intervals Find the open interval(s) on which f is increasing / decreasing/concave up/…

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: z=4x+3y 2x+3y≤12 4x-2y≤8 x≥ 0 y≥ 0 Find the maximum and sketch on a graph

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Q: becomes vacant with each $10 increase in rent and that each occupied unit costs $80/month in…

A: We will find the required.

Q: 4. (a) If fi f(x) dx = 5 and ₁ g(x) dx = -12, what is fi(5f(x) — 2g(x)) dx? (b) If 4f(x) +7 dx = 37,…

A: I am attaching image so that you understand each and every step.

Q: Evaluate the triple integral Enter an exact answer. Provide your answer below: z=-2 x=2 y=3-3x IT…

A: The given integral: ∫z=-3-2∫x=-3x=2∫y=03-3x-3x+3y+2zdydxdz

Q: Use matrices to solve the system of equations. (Use the parameters x, y, x = y + 2z = 11 - z = -12…

A: Use the matrices to solve the system of equations  x-y+2z= 11 3x+2y-z= -12 -x+3y+z=0

Q: The equation for the path of the particle is y= (x + 1)² +2. The velocity vector at t = 4 is v= (0)i…

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Q: A curve is given by the parametric equations x = t¹2t², y = 3t¹ - 7t³, -2<t<2. Find any points on…

A: Given  x = t4 - 2t2y = 3t4 - 7t3Note - when the tangent line is vertical then its slope will be…

Q: Suppose f is a continuous function where f(x) > 0 for all x, f(0) = 4, f'(x) > 0 if x 2, f'(x) 0 if…

A: Note the remarks according to given features of the function. fx&gt;0 for all x, i.e., the function…

Q: 10 x хе x

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Q: . Given f(x, y) = x2 + 6xy - 4y2 a. Find the domain a. b. Evaluate f (8,-1) C. Find all first and…

A: Given f(x,y) = x2 + 6xy -4y2domain = range of values of varibles

Q: x2y+8xy2=7 implisit differentiation

A: Topic = Derivative

Q: Using polar coordinates, evaluate the volume of the solid in the first octant bounded by the…

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Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: Since , you have asked a question with multiple sub parts as per company guidelines we will solve…

Q: Evaluate the following integral using trigonometric substitution. 2 √9x² - 64 | 3 X √9x² - 64 2 dx,…

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Q: How would you make a sign chart for 3(x+3)^2(x-4)^3(x-9)^2, then sketch a rough graphe while using a…

A: The sign chart can be formed using two steps, (1) Find the roots of f(x) in order to find where the…

Q: The altitude of a triangle is increasing at a rate of 2 cm/min while the area of the triangle is…

A: Explanation of the answer is as follows

Q: Evaluate the triple integral solid bounded by the paraboloid x = 8y² + 8z² and = 8. (1) X = x dV…

A: We have to evaluate the integral  ∫∫∫E x dV  where E is the solid bounded by the paraboloid…