ƒ(x) = x + 1 X

Q: Consider the following graph of y = f(x): 20+ 0 -20 -404 -60€ I only Il only 6 Which of the…

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Q: (3) Find the equation of the line tangent to f(x)=√x atx=4

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Q: First make a substitution and then use integration by parts to evaluate the integral Se 6x5ex² da…

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Q: Given: (x is number of items) Demand function: d(x) = 352.8 -0.2x² Supply function: s(x) = 0.6x²…

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Q: Consider the function are true? 1. lim f(x) = 70 II. lim f(x) = 70 III. lim x) = 100 X-8 IV. lim x)…

A: Given function f( x ) = 100 - 12000400 + 3000axWhere a < 0 < 1

Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

A: Note: Due to Bartleby policy i can solve only the first question with its 3 subparts.     The cost…

Q: Water is leaking from a 2 foot tall rectangular tank at 0.1 cubic foot per hour. Suppose that the…

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Q: Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,6).

A: To find the linear approximation of the function f(x, y) = x/(x + y) at the point (1, 6), we need to…

Q: f(x) = 8+x 8 - x on [4, 6].

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Q: Find the distance, d, between the point S(5,3,8) and the plane 4x + 1y + 12 = 4 The distance, d, is

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Q: How did we get 2π here?

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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: Question 4 Given that sin() = 0.73, match each trigonometric function with its value. cos(8) csc (8)…

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Q: 2x cos(x²) esin(x²) dx

A: ∫2xcosx2esinx2dx

Q: A bucket begins holding 15 kgs of sand. The bucket is to be lifted to the top of a 20 meter tall…

A: Initially sand present in bucket = 15 kg,Bucket leaks 0.2 kg/m sand when it is lifted.

Q: Find the distance from the point (1,0,0) to the plane 4x + 4y +7z = 32. The distance from the point…

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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: [b] Take a limit of the standard slope formula, as shown below, to find the instantaneous rate of…

A: The given function is gx=x2+2x. To find the derivative at x=2 and the equation of tangent line at…

Q: 7. (1 point) An object starts from rest at the point P(1,2,0) and moves with an acceleration of a(t)…

A: Given an object starts from rest at the pont P(1,2,0) and moves with an acceleration of a(t)=j+2k.…

Q: z³dz /4 – z²

A: To perform the indicated integration by using Rationalizing Fractions. ∫z3 dz4-z2

Q: 14x^2-13x-12 using box method

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Q: f f(0) = - = sin(1-0) Sketch the graph of f(0) = -

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Q: If z = (x + y)e³ and î = u² + v² and y = u² — v²,

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Q: Determine the marginal profit for the sale of 500 units of the product if the cost function for…

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Q: Compute the dot product. (Give an exact answer. Use symbolic notation and fractions where needed.…

A: Since, we have to compute the dot product of the expression given below:-(3j+5k).(i-8j)=?

Q: Show all steps to prove the statement is true. Neatly show each step of your work to earn full…

A: Given Trigonometric expression  ( 1 - sinx )( 1 + cscx ) = cscx - sinx

Q: - Consider the surface F(x, y, z) = x626 + sin(y³z6) — 10 = 0. Find the following partial…

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Q: T -2 4 f(x) g(r)|h(r) 5 4 9 2 -3

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Q: Find the volume of the solid obtained by rotating the region bounded by the given graph about the…

A: We have, y=x2 , y= 2x, about the line x= -1

Q: A certain electronics manufacturer found that the marginal cost C to produce x DVD/Blu- ray players…

A: marginal cost =c = 0.04xx =DVD/Blu- ray players DVD/Blu-ray players were produced 7x +800marginal…

Q: Find the angle between the vectors a = 7i- j - 5k and b = 2i+j - 10k. Answer (in radians): 0

A: given a=7i-j-5k and b=2i+j-10k

Q: Find the Maclaurin series of M8 Σ n=0 X sin(t) S t6 - dt.

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A: Given: A solid is formed by revolving the region bounded on right by the graph of gy=7y and on the…

Q: 29 / 36 determine the derivative function (for). 9. Let f be the R²R function defined by f(x, y) =…

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Q: a) Find the parametric equation of the line passing through the point (1, 5, -3) and parallel to the…

A: In this question, we can find parametric equation and value of k.

Q: A tumor is injected with 0.82 grams of Iodine-125. After 1 day, the amount of lodine-125 has…

A: Law of Decay is given as  P = P0e-kt where P is the amount after time t  P0 is the initial amount  k…

Q: Find the value of c that makes the function continuous at x = 0. 8x - 4 sin 2x 7x³ C= f(x) = X #0 X…

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Q: 5. Consider the following function: f(x)= e* (3x³) a. Determine the critical points of such function…

A: For a function f( x ) , we can find  critical points by f'( x ) = 0  Inflection points by f''( x ) =…

Q: Let C be the curve of intersection of the parabolic cylinder x2 = 2y, and the surface 3z = xy. Find…

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Q: A plane has parametric equations x = 2-s + 3t y = 4 + 3s-t z = -5 + 2t where s, t E R a) Find the…

A: To find the scalar equation of the plane, we need to eliminate the parameters (s and t) from the…

Q: Suppose Vf(x, y, z) = 2xyze+²; 2xyzex²; + zet²j + yex² k. If f(0, 0, 0) = 1, find f(3, 2, 2).

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Q: = The federal tax rate for heads of household is given in the graph shown to the right. Use the…

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Q: Let f(x) = 2x³ - 3x² - 72x+1. a. Find all points on the graph of f(x) at which the tangent line is…

A: Let fx=2x3-3x2-72x+1 (a) To find all the points on the graph of fx at which the tangent  lines are…

Q: The vectors and have lengths 2 and 1, respectively. The vectors a +56 and 2a - 3b are perpendicular.…

A: The vectors a→ and b→ have lengths 2 and 1 respectively.The vectorsa→+5b→ and 2a→-3b→ are…

Q: Please solve this 100% Correctly and ASAP. Thx  Find the equation of the tangent to the function y =…

A: Tangent line formula passing through the point (a,b) and slope m is  y-b=m(x-a)

Q: As a hardworking student, plagued by too much homework, you spend all night doing math homework. By…

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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: The two forces acting on the handles of the pipe wrenches constitute a couple M. Express the couple…

A: Finding the moment of the forces M=-175(0.285+0.285)i+175(0.18)j

Q: 57) Given: f(x) = ax³ + bx² + cx+d, f(2)=5, ƒ"(1)=-4, ƒ"(4)=12 When x = 1 the tangent line to f(x)…

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Q: Subject: calculus  what is the definition of derivative?

A: Calculus