Find a set of parametric equations of the line with the given characteristics. (Enter your answers as a comma-sepa The line passes through the point (-1, 4, -8) and is parallel to v = 6i- j.

Q: What is the directional derivative of f(x, y, z)= In x 2 + 2y2 + 4 z 2 at the point P(-1. 2, 4) in…

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Q: [² (8cx² = 6cx+6c) de Identify the variable of integration in the given definite integral. Type only…

A: Given problem:- ∫pq8cx2-6cx+6cdc

Q: Use the substitution u=x2+4 to evaluate the indefinite integral below. 2x(x2+4)8

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Q: Use vectors to find the fourth vertex of a parallelogram, three of whose vertices are (0, 0), (1,…

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Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: Write an equation for the function f(x) shown. The leading coefficient is 1.  Asymptotes: y=-1 x=…

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Q: Solve a part only

A: Given the function y=2-xx2 Here, student asked part a) only, hence we are answer part a) only.

Q: Evaluate the definite integral: f (x · cos(2x)) dx. Enter the exact decimal value. A graph of y = x…

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Q: You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes, 6.5…

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Q: Find a formula for the inverse of the function. \\ f(x) = f-¹(x) = 1+e 1-e

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Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

A: topic- Area of shaded region Area of rectangle =Length*width

Q: x = est, y = to (a) Find dw/dt by using the appropriate Chain Rule. dw dt W = X- (b) Find dw/dt by…

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Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and -5-4-3-2…

A: The graph is given as , Find the equation for the graph.

Q: Solve the initial value problem: y(x) = 2x - 4y√x² + 1. dy dx = 0, y(0) = -4

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Q: the particular Solution is 1 84-1 2. = 2. 1 04-1 — (ex) - 1/₂₁ (2x), D4-1 = LYDB (ex) = 4p3 De_…

A: Given D4-1y=2 sinhx+sinx The auxiliary equation is m4-1=0⇒m22-12=0⇒m2-1(m2+1)=0 Therefore m= ±1, ±i…

Q: Use implicit differentiation to find dv/dL.

A: We will use concepts of differentiation in this.

Q: 1. DIFFERENTIAL EQUATION (2y³ + 4) dx = (6-2xy²) dy

A: Note :- These are multuple questions and according to our comapny guideline we can do maximum 1…

Q: 2ss" + (s')² = 0

A: we will solve the differential equation.

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: Use the power series f(x) = In (1-x) = -for-1sx<1, to find the power series representation for the…

A: The power series fx=ln1-x=-∑k=1∞xkk, for -1≤x&lt;1 we have to find the power series for px=9x8ln1-x

Q: 7. The sides of a parallelogram are 6.3 cm and 9.2 cm. One angle is 56° while the other angle is…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture and a…

Q: Given that the graph of f(x) passes through the point (4, 2) and that the slope of its tangent line…

A: Recall: The slope of the tangent line to the curve f(x) is f'(x).

Q: Given differential equation -3x yay"-4y' + 8y = e +8x² (D³ - 3D² 4D +8)y=e +8x2 Auxilary equation…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x+y+z= 12, (4, 3, 5)…

A: Our Aim is to find :-(a) An equation of the tangent plane to the surface at the given point.Here…

Q: 3. [x²cos2x dx

A: The given integral, ∫x2cos2x dx Note:    Multiple questions are given, we are answer only one…

Q: Use the gradient to find the directional derivative of the function at P in the direction of v. h(x,…

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Q: It is estimated that between the hours of noon and 7:00 PM, the speed of a highway traffic flowing…

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Q: X: 1 2 Y: 2 4 3456 7 9 12 14 What is the correlation coefficient for variables x and y? a..950 b.…

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Q: 5) What is the horizontal asymptote of f(x)= a. y = 5 7 b. y = 2 2x-7 5x+3 c. y=-37 d. y = 5

A: The objective of the question is determine the horizontal asymptote of the given function and choose…

Q: 1 g(x)= {x-1 if x > 0 |x² −1 if x≤0

A: The given function, gx=1x-1if x&gt;0x2-1if x≤0

Q: -6-5-4-3-2- 9 10

A: We will solve.

Q: Find the domain of the function. (Enter your answer using interval notation.) F(x)=√x + √7-x

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Q: Solve the given differential equation by undetermined coefficients. y" - 8y' + 16y = 12x + 6 y(x) =

A: The given differential equation is;  y''-8y'+16y=12x+6.

Q: 3) y" + 4y' + 4y = 0.

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Q: You go to the doctor and he gives you 16 milligrams of radioactive dye. After 20 minutes, 7.5…

A: We will solve this problem.

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 3- W…

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Q: What is the gradient of f(x, y, z) = x³₂² + y³z +125z - 1 at P(5,5,-1) ? 75i + 75k -75i - 75k 75i -…

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Q: Find an angle coterminal to  25π/3 that is between 0 and 2π

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Q: Constraint 1. V= 32000 cm³ xyz = 32000 g(x, y, z)=xyz-32000 vg = (y², xz, xy) function SA= xy + 2yz…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: here is the solution:

Q: 8. A rocket is fired into the air with an initial velocity of 98 m/s. The height (h) of the rocket…

A: The height of the rocket after t seconds is given by the expression h=98t-4.9t2

Q: A population of rabbits oscillates 29 above and below an average of 75 during the year, hitting the…

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Q: 7. dx S- X-3√x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 3 g-¹(x) = = (Write your inverse function in terms of the independent variable x.) Find the inverse…

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Q: Find the gradient of the function at the given point. Function f(x, y) = x² Point (4,4) Vf(4,4) = x²…

A: In this question we have to find the gradient of the function. Note: As per our policy we can solve…

Q: Write an equation for the function graphed below -7 -6 -5 -4 -3 -2 5+ 4- 3- 2 1 -2- -3 -4- -5+ 1 2 3…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y² + 4, (1, 2) Vf(1, 2) =

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Q: Find the gradient of the function at the given point. g(x, y) = 11xe/x, (5,0) Vg(5,0) eBook

A: We can find the gradient as below.

Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (12, 0) Vg(12, 0) =

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Q: How long it would take to double an invesment if the rate of interest is 10% compounded quarterly?

A: Follow the procedure given below.