Find the equation of the tangent line at the given point on the curve. 3y-x = 8, (16,2) %3D

Q: . Determine the exact distance between the planes 4 x + y – 2 z + 10 = 0 and 8 x + 2 y – 4 z – 12 =…

A: Answer and explanation is given below..

Q: Integration by Trigonometric Subshtunon SxCx?- ax+4) $12 XP

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Q: Let f(x) = 3,/a If g(x) is the graph of f(x) shifted down 1 units and left 3 units, write a formula…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: y(x) = tan/3x² + In(5x*) - In(5x'

A: We have to find dy/dx of given function.

Q: Use the Root test to determine whether each of the following series conve n" (5n - Зп3 a) 231+2n b)…

A: We can solve the given problem as follows:

Q: Suppose that f and h are integrable and that: L f(x) = -1, f(x) dx = 5, h (x) dx = 4 , Find: %3D %3D…

A: Answer and explanation is given below..

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 15) - (-) 3 v = O parallel O…

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Q: Find the elasticity of demand (E) for the given demand function at the indicated values of p. Is the…

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Q: Find the derivative of the function y = (tan '(z) ). ช่ ||

A: To find the derivative of  y=(tan-1(x))23

Q: 6 Evaluate (3x+4yʻ) dA by changing to polar coordinates, where R is the region in the upper…

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Q: Solve the given initial-value problems. 4.43. xe" dx +(y-1)dy 0; y(0) 0

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Q: find the derivative of f(x)=x/(x+2) using the limit definition of a derivative

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y²,…

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Q: 37. Let y = uv be the product of the functions u and v. Find y'(2) if u(2) = 7, u'(2) = 4, v(2) =- 5…

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Q: F(x, y, z) = (2xe*) i+ (2y + 3y?22)j+ (x²e* + 2y³z) k is conservative. Find a functionf such that F…

A: To find the function f  And then evaluate the line integral along the given curve.

Q: dx J x3 – 2x² + 9 – 18

A: Given problem:-

Q: Using the graph answer: f(2) g(2)

A: We now that ,in  y=f(x) , x is values in domain and f(x) is the values in co-domain, Therefore here…

Q: Let f(x) = cx3.4 and suppose that f(6) = 48. Find the value of c. (Round your answer to two decimal…

A: Given query is to find the value of c.

Q: Use the table below to fill in the missing values. f(x) 1 1 2 8 3 3 4 9. 4 6 7 7 8 6 9 f(5) || if…

A: Follow next step

Q: Find a polynomial function with real coefficients that has the given zeros. (There are many correct…

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Q: Find the area under the given curve over the indicated interval. y= 5: (-2, 1) The area under the…

A: We can find the area under the curve as below.

Q: Find the radius of convergence, R, of the series. (x + 5)" 5n In(n) n = 2 R = 5 Find the interval,…

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Q: Determine the exact interval(s) over which the function y=x(ln x)^2 is: A) Increasing and…

A: We have to find monotone intervals and concavity.

Q: y' + p(x)y = q(x), p(x), q(x) E C(I)

A: We have to find the general solution of differenrial equation

Q: Let f(x) =- a) Use the concept of limits to determine the equation of the horizontal asymptote of…

A: Consider the function  f(x)=xx-1

Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

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Q: The rate A (in tons per year) at which a pollutant is being dumped near a city is given by the…

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Q: 7. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

A: The objective of the question is evaluate the dimensions of the rectangle for larger area.

Q: Solve the exponential equation for t. Round your answer to three decimal places if necessary.…

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Q: Find the interval of convergence of (х — 5)" In (8n) n=2 (Use symbolic notation and fractions where…

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Q: Find the average height of the paraboloid z =x + y over the square 0sxs3, 0 sys3. ... The average…

A: Average height of the paraboloid over the square R is given by H=1Area of the square R∬fdAsee below…

Q: A spherical snowball is melting.  It's radius is decreasing at 0.2 cm per hour when the radius is 14…

A: A spherical snowball is melting.  It's radius is decreasing at 0.2 cm per hour when the radius is 14…

Q: 1. f(x) = tan(2x) - 5

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Q: Basic Derivatives Practice Worksheet Try your best on this and finish it for homework. We will go…

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Q: x° cos (3x) dx X COS

A: Integral by parts:∫ uv dx =u∫ vdx -∫(dudx∫vdx) dxI=∫ x6 cos(3x) dxu=x6, dudx=6x5v=cos(3x), ∫ vdx…

Q: A pharmaceutical company introduces a new headache medication on the market. They advertise the…

A: Explained below

Q: A region bounded by f(x) = x², y 0, and x = 4 is shown below. Find the volume of the solid formed by…

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Q: 6 Evaluate the fallowing integral.

A: Given,            ∫2cos4xdx

Q: Find the gradient of the function at the given point. g(x, y) = 17xev/x, (19, 0) Vg(19, 0) =

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Q: а) nyn n=1 Σ >(-1)n+1 п c) 2" n=1 00 e) 2(-1)n+1, en n=1

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Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. 5 dx sec x-1…

A: Here we have to evaluate the given integral.

Q: Cônsider the following. u = (5, 7), v = (4, 2) (a) Find the projection of u onto v. (b) Find the…

A: a)  projection of u onto v     projvu =  u.vv2.v  since u=<5,7>  , v=<4,2>⇒u.v=(5×4)+7×2…

Q: I am still confused

A: It would be best if you mention with which part you are confused. I'll try to explain it more.  The…

Q: Suppose that the graph of a function f is known.  Explain how the graph of of y = f(x) – 2 differs…

A: Let us consider graph of a function y=f(x). Now if we move the graph y=f(x) by c units in downward…

Q: Find the equation of a curve going through the point (3, 7) and having slope 4x² – 3 at (x, y).

A: Given ,Slope of curve is 4x2-3Thereforedydx=4x2-3Taking integationon both…

Q: Consider the Taylor polynomial T(x) centered at x = 17 for all n for the function f(x) = , where i…

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Q: y(x) = tan{/3x² + In(5x*) - In(5x'

A: Given  y(x) = tan3x23 + ln5x4 We have to find dydx.

Q: 4.1: 8) A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the…

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Q: x – 2 Let g(x) = x + 3 (a) Find the third degree Maclaurin polynomial of g.

A: Solution: So what we need to do to get the desired polynomial is to calculate the derivatives,…