Find the area of the plane region bounded by the given curves: y= x^3, y= x + 6, and 2y+2 = 0

Q: Consider the lines x = -1+ 2s l2 : y = s z = 5+ s л — 5 3 - z l1 : 2 and I. Find two unit vectors…

A: Given

Q: tan () (9) sin (4) F. Evaluate the integral r2 cos ()

A: integration

Q: dx 4x2 -8x + a a. S そ m 14cx-0+51+ s5 tom'/22 4 -2 b. I m1a(x-1)"+51-55 toni" )+c Ciln14 Cx-1)+sl+…

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Q: Find dy/dx if ylnx + y^2 = 0.

A: According to our guidelines, we can answer only one question or three subparts of a question.

Q: II. Find the area bounded by each of the following curves. Show your complete solution. Write your…

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Integrate sze" • fa". de Answer:

A: We have to find the integral

Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x (Use decimal…

A: Linear approximation is an approximation of a function with the help of a linear function.  Suppose…

Q: sin 2t sin 5t 20 s4 + 58s2 + 441 O Option 3 None of the choices 1 10 s2 + 32 s2 + 72 s4 – 58s2 + 441

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Q: Exercises Construction of Homogeneous Linear Equations Obtain the differential equations satisfied…

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Q: Guen F(x)= 4sin? (x), write the equaton ok the live tanjut to y=F(x). when x= 7r %3D 4.

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Q: Please

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Q: ArcTaпx — х 1) lim x→0 х3 Тапх

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Q: (b) 352+5s+1 (d) 3 (c) 5s+2

A: Given data÷

Q: derivatives power series

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Q: Topic on Application of Integration - Area. Find the point/s of intersection of the graph and draw…

A: Here point of intersection of the line y=0 and y=x2-4 is put y=0 x2-4=0x2=4taking square root on…

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A: Given problem:- Use differentials to estimate the amount of paint needed to apply a coat of paint…

Q: A deli sells 720 sandwiches per day at a price of $6 each. ... A market survey shows that for every…

A: Let price reduce x times Price of deli = 6 - 0.1x Number of deli sells = 720 + 20x   Revenue

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

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Q: B. For each of the following functions z, find and dx²' dyðx' axðy' dy2 1. z = 2x² – 5xy + y²

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Q: Compute the area enclosed by the curves. You must show your work. Express your answer as a fraction.…

A: In this question we have to find the area enclosed by the curves.

Q: 6. ( alv.y s. Match each of the following formulas with the given graphs. Justify your answers as…

A: We have to match functions with the graph

Q: Write the equation of a sine function that has the following characteristics. 1 Amplitude: 2 Period:…

A: Sine function :  y= a sin(bx-c) ; where, 'a' is the amplitude and 'c' is the phase shift .…

Q: Find the set of all values of x at which the line 3x-y+k= 0 is a tangent line to the -3 curve f (x)=…

A: We need to choose correct option.

Q: 2* lim x→0 x²

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Q: ²+² +1) d + a (a – 2y) dy = 0 %3D

A: Given problem:- Find the solution of the given differential equation:  (x² + y² + 1) dx + x (x - 2y)…

Q: The following question is about the rational function (x + 1)(x – 2) (x + 2)(x - 9) r(x) The…

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Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.

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Q: A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A: We can solve the given problem by using differentials.

Q: a. Lim x2 + X - 2 X→1 2x2 - x – 1

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Q: I. Evaluate each of the following iterated integrals. T/2 siny 1. dxdy

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Q: Determine the inverse Laplace transforms of: 2s²-5s-1 (a) (s+3)(s²+9)

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Q: 4. A car costs Php 800,000. Find its value after 4 years if it depreciates 20% of its cost per year.

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Q: The value of a brand new car is $16,000 and the value depreciates 18% every year. Write a function…

A: answer is in next step

Q: Find the Laplace Transform of the functions PLS ANSWER ASAP

A: We need to find laplace transform.

Q: 2x^ + xt3 dx x+ x a. In lxl+Ź In Cx t1)+ tan-"c) tc b. In \xl-Į m (x2+1)+ tan-' Cx) tc in e, wone

A: The integration of the integral is  (2x2+x+3)/(x3+x).

Q: Calculus How many numbers are relatively prime to the following number. - 209 - 323 - 867 - 31…

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Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction…

A: A detailed solution is given below.

Q: Q3. (a) Find the binomial expansion of (1 – x)-1 up to and including the term in x2.

A: We have to find binomial expansion.

Q: Describe all absolute extreme points of P. Select the correct choice below and, if necessary, fill…

A: Let's find.

Q: 6. The radius of a sphere is measured to be 7 cm, with a possible error of + (1/10) cm. Estimate the…

A: Volume of sphere   V=3π​r3/4 Percentage error in volume    ΔV​×100/V=3×Δr​×100/r =3*1*100/10*7= 4.3…

Q: 1 In the interval -T, 7| the equation sin x = (a) has an infinite number of solutions O (b) has two…

A: This question is based on general solution of Sine function.

Q: NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS  2. (D^2+D-2)y=2x-40cos2x Please answer this…

A: Here, the given DE is: (D2+D-2)y=2x-40cos 2x Now, to find the yh. The auxiliary equation of the…

Q: For the curve defined by *(t) = 2 cos(t)i +2 sin(t)j + 3tk evaluate F (2)||du S = to find the arc…

A: Given that the curve  r→t = 2 costi→ + 2 sintj→ +3tk→  = f(t)i→+g(t)j→+ h(t)k→        we  have to…

Q: A supermarket sells two brands of coffee: brand A at $p per pound and brand B at $q per pound. The…

A: Revenue = price per unit × number of units.

Q: Volume of Solid Revolution(Circular Disk/ Washer Method) Find the volume of the solid generated by…

A: Given problem:- Find the volume of the solid generated by revolving the area bounded by the given…

Q: The approximate value of -31.8 using linear approximation, O -1.0075 O -2.0025 O -1.9975 O (E) None…

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Q: Evaluate sin (44o) + cos (29o) using differentials. Refer to special triangles.

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Q: 10. A conical paper cup is 10 cm tall with a radius of 10 cm. The cup is being filled with water so…

A: A conical paper cup is 10 cm tall with a radius 10 cm. The cup is being filled with water so that…

Q: Use Method of Variation of Parameters: [D² - 8D + 16]y = e4Xsec2x

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