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Q: Without using a calculator evaluate the definite integral. | (10x - 6x +6) dx = Σ

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Q: Find the antiderivative of the function 4x3 - 2x2 +x - 5 dx

A: This question is based on indefinite integral.

Q: dc The marginal cost of printing a poster when x posters have been printed is 1 dollars. Find c(9) –…

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Q: 1.) Find the area bounded by the lines and curves y = 4x – x°, x =1 and x = 3

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: An iron block weighs 5.2 N and has a volume of 272 cm³. What is the density of the block in kilogra…

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Q: 21. If F(x)= [ VP +1 dr, then F'(2) = %3D (A) -3 (В) -2 (C) 2 (D) 3 (E) 18

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Q: sinx 14. What is y" if y=' 1- cosx -sinx -cosx A) у'— C) y'= (1 – cos.x) (1 – cos.x) sinx (1 –…

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Q: Let f be a function defined by f(x) = In(2x2 + 1) and let g be a function defined by g(x) = 2x4 –…

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Q: The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = Vx. Find the…

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Q: A farmer wants to enclose a rectangular field with area 1,000 square meters by fencing it into four…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: To find the volume of the solid that results when the shaded region is revolved about the indicated…

Q: A mass weighing 16 pounds is attached to a spring whose spring constant is 25 lb/ft. What is the…

A: Given that, the mass weighing =16 pounds Now, changing the unit of the mass: m=1632=0.5 slug

Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

A: favourable conidtion is  26C1*25C1 = 26*25 total condition is 52C151 C1 = 52*51 probability =…

Q: Derivalive: f) JFonx-4 2.gm)- (Jx+ 37 Ax+1

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Q: Sketch the region bounded by the graphs of the functions. = gtx) = -e", x =x = 1 (x) Find the area…

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Q: Calculate the first, second, and third derivatives of y(t) = 2016/5 – 6127. (Use symbolic notation…

A: We will use simple differentiation rules to solve this question.

Q: Which of the following are vertical asymptotes of the function f (x) 5æ(x+2) a(x² –4)(2a+1)(x+3) ?…

A: See below the answer and explanation As per bertleby guidelines I have to solve only first question.…

Q: 1. Find the derivative of the following: (Simplify your final answers.) h(t) = V3t – V2t²,t # 0.…

A: Solving

Q: (a³-8) g(a) = (Va²+4)* .3.

A: The given function,     ga=a3-86a2+43

Q: 5x and S(x): = 20 + 2x. Round only Find the consumer's and producer's surplus if for a product D(x)…

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Q: 1. Find the derivative of the following: (Simplify your final answers.) f(x) = ev3(cos²zx) C.

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Q: e 2x dx /1 — ех

A: Let's find.

Q: Express point P- 3,- into Cartesian coordinates with an aid of a suitable diagram.

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Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

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Q: Use power series to show that sinh(z) + cosh(x)= e".

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Q: Let R be a variable and r a constant. Compute the derivative. d :(1º . R?) dR

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Q: y varies inversely as the fourth root of x and when x = 81, y = 10. What would be y when x=47. Round…

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Q: By using shell method, find the following volume a. y = x2 - 4x - 4 and line through point A(1,3)…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 1. Determine the type and stability of the critical points of the homogeneous systems: dx (a) = x –…

A: we have to check stability of critical points

Q: 16) Find the radius of convergance, Rof Ene.series R=? 90x

A: The given series,        ∑n=1∞9nn2xn

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

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Q: kindly solve for uts derivative. ty and show complete solution. Pls answer asap

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Q: Given the following acceleration function of an object moving along a line, find the position…

A: Given problem:- Given the following acceleration function of an object moving along a line, find the…

Q: Using the substitution u = x + 1 / Væ +1 dæ is equivalent to 1 u +1 -1/2 du /2 1/2 du (4 – 1) /…

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Q: The function values f(x) in the table below is increasing for 0 < x< 12. 0 369 12 f(x) 34 35 37 42…

A: (A)  RIGHT HAND SUM   when ∆x=3     then n=12-03=4 The four subintervals are[0,3]   ,   [3,6]  ,…

Q: 6. sin v- -2 cos Va + C %3D 4x2 1. Ja-8 dx = 18 (1-8x)4 (1-8x3)4 8. Se*dx =+ %3D In e

A: As per the instruction, we will be answering only the first three subparts. For (6),    ∫sinxxdxLet…

Q: Question 4 Solve the initial value problem: y' = – 0.03y + 6 y(0) = 50 - y(t) =

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Q: stead of f(x)). E

A: answer is in next step

Q: Find the area of the shaded region shown in the graph. Q y- 13 sin e 13 cos x The area of the shaded…

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Q: Consider the equation cos(2t) = 0.8. Find the smallest positive solution in radians and round your…

A: We have to find the smallest positive solution.   According to our guidelines we can solve only one…

Q: Let f be a function defined by f(x) = In(2x? + 1) and let g be a function defined by g(x) = 2x4 -…

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Q: Use the limit definition to compute the derivative of the function f(t) = ,, at t = -4. (Use…

A: Here, the given function is: f(t)=33-t

Q: Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in…

A: Consider

Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

A: we know that  The deck has cards in two colours red and black

Q: Use the transformation x = 2u + v and y=u+2v to evaluate where R is the triangular region with…

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Q: 2 xy' + 3y = 3 –

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Q: An object moves along a coordinate line with velocity v(1) = r(9 - 1) units per second. Its initial…

A: Given:    v(t) = t ( 9 - t )     x ( 0 ) = - 5    t = 13

Q: Use power series to show that 1 1 1 e =- + 0! +...** 2! 3! 4! 5! 6! 117

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Q: х+2 dx х — 1 1. Find the integral а. х + In(x — 1)3 + с b.x + In(x - 1)? + с с.х + In(x — 1)4 + с…

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Q: sech (r?t2 using logarith mic differon Tiation ニ r

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