Find the linear approximation of f(x)=√x when x = -27.

Q: Find the intersection of the line / and the plane T. 1:ř=(4,-1,4)+t(5,-2,3) T: 2x+5y+z+2=0

A: Given line, r=(4i-j+4k)+t(5i-2j+3k)               (1)And plane ,2x+5y+z+2=0…

Q: Find the volume of the solid generated by revolving the region R bounded by y = e Set up the…

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Q: Determine the parametric equations of the plane containing points P(2, -3, 4) and the y-axis.

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Q: y = x(2x + 1)³, find y".

A: Our Aim is to find the double derivativey" of the function given below:-y=x2x+13 -(i)

Q: Find the values that satisfy each variable through the Gaussian or Gaussian Jordan Elimination…

A: We have to find the values using Gaussian or Gauss Jordan Elimination Method.

Q: hat is the scalar equation of the xy plane?

A: Given query is to find the scalar equation of the XY plane.

Q: Find(x(ax+b)), where a and b are constants (a) x(ax+b) ax(1 + ln x) (b) x(ax+b) (x + ax ln x + b)…

A: To find:ddxxax+b

Q: 6- 5 2- 1 1 2 3 Based on the graph above, estimate to one decimal place the average rate of change…

A: As we know  Average rate of change of function fx in interval a,b=fb-fab-a

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: A ball is thrown straight up from the top of a building 156 ft tall with an initial velocity of 72…

A: Given data:- The given value is, h0=156 ft The given value of, v0=72 ft/s The given equation is,…

Q: Solve AABC subject to the given conditions. Give an expression for the exact value of each side in…

A: We can find the required values in the below steps.

Q: Find dx 1 (a) COS (b) (c) when y = sin(loga (bx + c)), where a, b, and c are constants. b In a (bx +…

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Q: Find the intersection (if any) of the lines =(4,-2,-1) + t(1,4,-3) and F = (-8,20,15)+u(-3,2,5).

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Q: Write and find the general solution of the differential equation that models the verbal statement.…

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Q: Find the limit of f(t) = lim f(t)= 2-5t+ sin 3t 3t+cos 3t t-18 (Simplify your answer.) as t…

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Q: Solve the DE (2xy+y)dx+(x^2-x)dy=0 hint: Variable Separable a.y=cx(x+1)^-3 b.y=cx(x+1)^-3…

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Q: Solve (x5 + 3y) dx - xdy = 0. O 2y = x^5 + cx^3 O 2y = -x^5 + cx^3 O 2x = y^5 + cx^3 O 2x = -y^5 +…

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Q: Free fall. In dropping a stone or an iron ball, air resistance is practically negligible.…

A: Given     Acceleration of gravity, g=9.80 m/sec2=32 ft/sec2 At t=0, v=y'=0

Q: y = (2x5 + 7x)(2√x − 3)

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Q: Find the point of diminishing returns (xy) for the function R(X), where R(xX) represents revenue (in…

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Q: Match the point in polar coordinates OA(2, OB (2, 3) oc(2-1) OD (-2,7) 7t • (-2., 71) ₁ X to the…

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Q: Find the third derivative of f(x)=^3sqrt(9x+1)

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Q: 0 -2 ex+1 dx 7- ex+1

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

Q: k²-4 Find k so that -In³ (kx + x) = - dx -In²(kx+). kx+1

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Q: Q1. Find the exact value of the following Trigonometric function, by identifying the relevant…

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Q: 2. Find the equation of the curve whose slope at any point *-2 and 3-y passes through (-1, 1).

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Q: Use integration by parts, together with the techniques of this section, to evaluate the integral.…

A: The given integral is 9ln(x2-x+4).

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: 4 2 -2 P' 2 4 6 8 10 12 14 t (a) Calculate P'(8) and interpret that terms of the deer population.…

A: This is a problem related to derivative graph function. Please follow the procedure given below. As…

Q: Q3. Differentiate f(x,y) = xy² + √x+y² 2 1/1

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Q: (x - y - 1) dx - (4y + x) dy = 0 Give the: a. homogeneity b. degree c. reducible homogeneous…

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Q: Given that f(x) = xºh(x) h(-1) = 4 h'(-1)=7 Calculate f'(-1). | Hint: Use the product rule and the…

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Q: The derivative of f(x)=(3x^1/2+x+x^−4)(5x^−2/3−6x^5/7) is f′(x)=

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given Expression: y=x51+2x7

Q: y''+4y'+5y=  y(0)=0  y'(0)=6

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Q: 618 x 99 6182

A: using simple multiplication

Q: Let z дz ?x дz ду = = Gexy³. Then:

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: A survey of 330 adults found that during the last year, 100 traveled by plane but not by train, 85…

A: A survey of 330 adults found that during the last year, 100 traveled by plane but not by train, 85…

Q: Let f(1) = 1, g(1) = -3,h(1) = 2, f'(1) = -1,g'(1) = 2, and h'(1 d f(x) g(x) dx h(x) Find when x =…

A: Please refer to the image below

Q: Use E-N verification to prove that - →>>> O as n. Vn

A: the answer is in step 2

Q: fim 1 t->-∞ 1 + cot = "= 8

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Q: Given the graphs of f(z) and g(z) below, find the composition of functions f(g(0)) g(x) 18 16 14/ 12…

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Q: Given the following table of values, compute f(g(4)). z 1 2 3 Do not include "f(g(4))"In your…

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Q: In the figure, the equation of the solid parabola is y=x²-6 and the equation of the dashed line is…

A: Given data:- The equation of a solid parabola, y=x2-6  The equation of the dashed line,  y=5x

Q: How would you solve this if you didnt have the coordinates of A and B and only given a function

A: If here not given the point and given the function only then

Q: Find the area of the region that is enclosed by the card 10+ 10 sin 0. OTE: Enter the exact answer.…

A: Topic:- application of integration

Q: Do NOT use the difference quotient, find the derivatives via formula. f(x)=2/x9

A: See this solution in below.

Q: Find the derivative of the following function. f(x) = − sinh 36x f'(x) =

A: Finding f'(x)

Q: Find the slope of the line passing through the pair of points or state that the slope is undefined.…

A: Our Aim is to find the slope of the line passing through the pair of points(-4,3) and (2,2). Further…