Complete the parametric equations of the line through the point (2,-6,-2) and perpendicular to the plane -5x - 3y -z = 4 x(t) = 25t y(t) = z(t) Calculator Check Answer

Q: Consider S, the curve segment of the curve y = sin(x) from x = 0 to x = π. (a) Complete the…

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Q: Evaluate the given expression. Take ;] A ·|- 11 0-2 -2 2 4A + 0.5C and C= 1 [B] 1 -1

A: We have  A=0-2-2021C=1-111-1-1

Q: Differentiate f and find the domain of f. (Enter the domain in interval notation.) f(x) = = domain X…

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Q: Use graphical addition to sketch the graph of f + g. y y f+g 2 f 2 2 f+g g 4 4 4 6 6 6 8 8 X 2 2 f+g…

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Q: Consider the function f(0) = 4cos2²0 + 4sine. (a) Find f'(0) = (b) Determine the critical points of…

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Q: secx dx tan" x

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Q: Find equations of the tangent lines to the curve y = at the point (1, 0) int (e, ²) at the point y =…

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Q: Using substitution differential equations. methods to solve homogeneous Y'= Y+X

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Q: You are given the graph of the second derivative function, f"(x) shown below. f" (x) G AN. D F H E…

A: Given The graph of f"(x)

Q: A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt…

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Q: A particle moves according to a law of motion s = f(t), t≥ 0, where t is measured in seconds and s…

A: Note:- These are multiple subparts question and we can solve maximum 3 sub parts. So i am solving…

Q: 1. Find the Cartesian coordinates a. 1 2 I b. -√2₁. 2 3 π

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Q: What is the minimum value of f(x) = e-x + x on the interval [-2,3]

A: Given; f(x) = e-x + x , [-2,3].

Q: If n(A) = 2, n(B) = 5, and n(A U B) = 7, find n(A n B). Need Help? Read It

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Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

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Q: Let f(x) = (3x - x²) if 0 ≤ x ≤ 3 and f(x) = 0 if x 3. (a) For what value of k is f a probability…

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Q: Use the information provided to write the equation of each parabola. Vertex: (-1,9), Focus: (-3, 9)…

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Q: Find the maximum of f(x, y, z) = x + y + z subject to the two constraints x² + y² + 2² = 6 and 1x² +…

A: Solution below

Q: 0 8x dx x4 -8x² + 32 X

A: To evaluate the following integral. ∫028x dxx4-8x2+32

Q: Consider the function f(0) = 7sin²0 - 7cos0. a) Find f'(0) = 7 sin (20) + 7 sin (0) (b) Find the…

A: Consider the function f(θ)= 7sin2θ-7cosθ.  a) Find f' b) Find the critical points on the interval…

Q: Find the 36th derivative of f(x) = cos3x. Enclose arguments of functions in parentheses. For…

A: f(x)=cos(3x)d dx(sinx)=cosxd dx(cosx)=-sinx

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

A: As we know that, To expression to calculate the equation of the plane when it passes through the…

Q: Evaluate the Limits: a) limt->-1(t2+3t+2)/(t2-t-2) b) limx->9 (9x-x2)/(3-x1/2) c) limx->-inf…

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Q: The graph of f(x) is given on the grid. Graph ƒ'(x), its derivative. 5- -5 -4 -3 -2 -1 3 2 1 -1 -2…

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Q: True or False? The function f(x)=√4-x2 is guaranteed to have an absolute maximum and minimum on the…

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Q: Consider the following series. Answer the following questions. Σ (x + 7) n 2n n=0 1. Find the values…

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Q: Consider Line 1 with the equation: y= (1)/(2)x+9 Give the equation of the line parallel to Line 1…

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Q: A rectangular field adjacent to a river is to be enclosed. Fencing along the river costs $5 per…

A: A rectangular field adjacent to a river is to be enclosed. Fencing along the  river costs $5 per…

Q: Find parametric equations of the line that satisfies the stated conditions. The line that is tangent…

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Q: Use logarithmic differentiation to find the derivative of the function. y = (tan(x)) 5/x y' =

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Q: A warehouse selling cement has to decide how often and in what quantities to reorder. It is cheaper,…

A: The given data is: C=5aq+3bq

Q: Find the future value of the following ordinary annuity. Payments are made and interest is…

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Q: The relationship between the price and the demand of a certain product is described by the equation…

A: Given price function  p + 0.03x = 143  p = 143 - 0.03x

Q: Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart.…

A: Given : their bases 100 ft apart BD = 100 ft let BC = x  CD = 100 - x

Q: Find the cross product a x b. a =j+ 6k, b = 2i -j + 5k Verify that it is orthogonal to both a and b.…

A: The given vectors are: a=j+6k, b=2i-j+5k

Q: A function fis given, and the indicated transformations are applied to its graph (in the given…

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Q: 4. Find the length of the logarithmic spiral r = e ¹2 from 0=0 to 0=2

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Q: (a) Solution: Try u = x + y. Then This is separable Thence 1 du dx u² = x² + C 1+ dy dx dy dx = =…

A: Student is not able to understand few steps in the solution so I just have to add these steps.

Q: 1. Make a sketch for each parabola a. y² = 4x b. x² =−16y

A: To draw parabolas

Q: An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the…

A: We have given that height of the ball after t seconds is s=-2.7t2+30t+6.5

Q: (d) B dy dx 1- x - y x + y

A: ode

Q: The total cost (in hundreds of dollars) to produce x units of perfume is C(x) = 9x - 4 8x + 5 (a)…

A: The solution is shown below-

Q: Consider the function g(t) = = t 7+t²

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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: JS₂² A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and…

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Q: The curves F1(t)= (-4t, t², - 2t5) and F2(t) = (sin(3t), sin(2t), t - *) intersect at the origin.…

A: The given curves are:r1→(t)=-4t, t2, -2t5r2→(t)=sin(3t), sin(2t), t-π

Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

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Q: Find the volume of the region bounded above by the surface z = 2 cos x cos y and below by the…

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Q: that the cords have been disconnected from the device. "Computer, how do I plug in these cables",…

A: f(x)=ln(3x) f'(x)=313x = 1x f'(c)=1c   it is required Red cord.

Q: Refer to the following figure, which displays a right circular cone along with the formulas for the…

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