Find the distance from the point to the line. (-2,2,-4); x = 2+2t, y=3-t, z=-1-3t The distance is (Type an exact answer, using radicals as needed.)

Q: Find a Cartesian equation relating and y corresponding to the parametric equations Write your answer…

A: x=3sin6t ,y=6cos6t

Q: Each of the following problems addresses a course SLO for Math 21. Each individual student completes…

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Q: Find all the second partial derivatives. f(x, y) = xy - 4x5y² fxx(x, y) = fxy(x, y) fyx(x, y) = =…

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Q: Consider polar curves C1: r = 3+2sine and C2: r = 8sin0 1. Find the Cartesian equation of the…

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Q: 14x^2-13x-12 using factor by grouping

A: let  K=14x2-13x-12

Q: 4. Determine the 75th derivative of each of the following functions. f(x) = 3 cos 2x b)

A: given function is f(x)=3cos(2x) we know d dx(cos(ax))=-asin(ax)  and d dx(sin(ax))=acos(ax)

Q: In this question, you will solve a definite integral using the method of substitution. 3 Ső (4 x −…

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Q: Evaluate the line integral JC 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve…

A: We have, integral 2xyz dx + x²z dy + x²y dz where C is an oriented simple curve connecting (1, 2, 4)…

Q: Use the graph of the function f shown to the right to find f(-4), f(-3), and f(-2). f(-4)= f(-3) =…

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Q: 1 The equation of the line that goes through the point (7, 9) and has slope can be written in the…

A: The equation of a straight line passing through the point x1,y1 and having slope m is given by…

Q: 3 Find the derivative of y=In (8x³-5x)

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Q: +(Bot + B₁) cost, provided that sint and cost are not solutions of the homogeneous equation.…

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Q: Answer the following questions for the given polar equation. equation: 7-2-2 sin 0 1 Fill in the…

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Q: This was for question D I did not need A,B,C

A: We need to compute the average rate of change of the future value of the account between year 9 and…

Q: ) Based on your experience in parts (a) and (b), conjecture an antiderivative for each of the…

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Q: olve question 2 please. Explain in an easy to understand way

A: Graph of f(x) is given . We have to find why the derivative of a sinusoidal function is also going…

Q: Question 9 Identify where the mathematical mistake was made when rewriting the expression. 4 (1)…

A: Let P=logax4y5z2

Q: Find the volume of a parallelepiped if four of its eight vertices are A(0,0,0), B(3,1,0), C(0,…

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Q: Determine whether a given series converges or diverges.

A: Given: ∑n=1∞2n3-19n+1 We are required to find: Whether the given series converges or diverges.

Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L-1100 feet apart. As the…

A: The given image of the problem is: L=1100  feetA=50°B=35°

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 3x sin(xy)…

A: To find:  the Direction in which the maximum rate of change occurs for f(x,y)=3xsin(xy) at point…

Q: .1/3 Let ƒ(x) = x¹/³, and let T₁(x) be the nth Taylor polynomial of f centered at a =

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Q: Use the chain rule to find the indicated partial derivatives. x4. x² + x²y₁ x = s + 2t - u, y = stu…

A: To find partial derivatives of z w.r.t. s,t,u   Given z=x4+x2yx=s+2t-u and y=stu2

Q: If f is a differentiable f'(x)=x55x4+ function and 5x³+2, then fis concave up on

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Q: graphs are given below. a) V Y b) Y = 10

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Q: How did we get 2π here?

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Q: If f(x) = x²= 1 and g(x) = 3x²=2x-1, + what is lim f(x) ? X→1 g(x)

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Q: Q1: Solve the following equations system, using Gauss elimination method 4y1 + 2y2 +3y3-5 =6 3y₁ +…

A: We need to solve the given system of equations using the gauss elemination method which uses the row…

Q: Use the chain rule to find and, where First the pieces: дz ?х ?х дя ду Əs = дz Ət || = And putting…

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Q: 7. In the two questions that follow, the function f(x)=b* is an exponential function. Think…

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Q: Find the maximum rate of change of the function f(x, y) = DNE 2y² x at the point (2,4)

A: The function is given by fx, y = 2y2x The point is 2, 4 To evaluate: The maximum rate of change of…

Q: Find all values of m so that the function  y = xm  is a solution of the given differential equation.…

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Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by…

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Q: Solve the given differential equation by separation of variables. (ex + 1)²e-y dx + (ex + 1)¹e-x dy…

A: We need to solve (e^y+1)^2 e^(-y)dx+(e^x+1)^4 e^(-x) dy=0.

Q: Find the maximum and minimum values of the function f(x, y) = xy subject to g(x, y) = x² + xy + y² =…

A: Objective function fx,y=xyConstraint function gx,y=x2+xy+y2-108

Q: Calculate the linear combination. 5(i +2j) - 3(2j+ k) + 7(2k − i) = (x, y, z) (Give your answers as…

A: To calculate the following linear combination. 5i+2j-32j+k+72k-i=x, y, z where,  x=?y=?z=?

Q: Jhy Find following limits if they exist. Enter DNE if the limit does not exist. g(x) a h(x) g(x) 4.…

A: Note : As per our Guidelines , we can solve first three subparts . Please repost remaining parts.

Q: Express the limit as a definite integral on the given interval. 2 lim Σ 19(x;*)3 – 5xi]Δx, [2,7] i =…

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Q: Find the vectors T, N, and B at the given point. T = N = B || r(t) = (6 cos(t), 6 sin(t), 6…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find a parametrization of the line in which the planes x+y+z=4 and y + z = 8 intersect. Find the…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ sin(10x) sin(cos(10x))…

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Q: Solve the differential equation. 5√xy dx = dy dx = 2, x, y>0

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Q: horizontal asymptote (c) Describe the end behavior of the function. End behavior: y y → as x → ∞ as…

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Q: A hot air balloon rising vertically is tracked by an observer located 2 miles from the lift-off…

A: dθdt=0.1 rad/min In ∆ABC…

Q: In this problem, y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' +…

A: We need to solve the given initial value problem and the interval in which it is valid.

Q: Solve the given equation 3e*+2 = 75

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Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: Total 4 parts  Value at time t  Average and instantaneous rate of change

Q: 1 (a - b) In (a − x) (b - x) X *)] = [K₂ t]

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Q: differentiate the function f(v)=(v^1/3-2ve^v)/v

A: fv=v13-2vevv NOTE:-Here in question brackets are not given v^1/3 but as we see it must be v^(1/3)…

Q: 2. Find fundamental (3 (a) x' = (b) x' = 2-5 4 matrices for the following systems: :)> (9) -2 62 5 3…

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