dy for the following expressions. d.x Problem 15: Find a) y(x² + 8) = 64 b) r³ + y³ : 6xy

Q: Find the volume of the following solid. The solid above the region R= {(x,y): 0<x<2, 0sy<4-x} and be...

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Q: 2. What is the domain of y = 3x + 2? a. (3, +0) b. (-0, 3) c. (-00, +0) d. (-0,3)(3, -0) 3. What is ...

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Q: dt 20.5 t2+2t A - In|t? + 2t| + C B. 2ln +C C. In +C D. In + C

A: First we common out t2 from denominator and then put 1+2/t=u and differentiate both sides with respe...

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = t2i 1,3K 4tj + %3D (a) r'(t) (b) r"(t) (...

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v ort...

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Q: - Evaluate the following integral. |e2* cos3x dx

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Q: Given g(x) ニ X-1

A: We know that, g'(x)=limh→0g(x+h)-g(x)hHere g(x)=1x-1Therefore g(x+h)=1x+h-1Thereforeg'(x)=limh→01x+h...

Q: Find two unit vectors in 2-space that make an angle of 45° with 5i+ 4j. NOTE: Enter the exact answer...

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Q: systems of algebriac equatons 4X- 3y +5Z= 34 2X-y-Z = 6 X + y+4Z = 15 X = 4 ans y = -1

A: Solving system

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v ort...

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the i...

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Q: Activity 2: Express y in terms of x in the given equations if it is possible. 1. 2x+y=8

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Q: 1 -dr. a In r| Find 3.

A: Let's find. 

Q: The demand function for a manufacturer's product is given by p= 500 - 5g - where pis the price per u...

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Q: Find the exact value of the trigonometric expression given that sin(u) = - where 3x/2 <u< 2x, and co...

A: tan(u+v) = (tanu +tanv)/(1- tanu*tanv) tanu = sinu/cosu cosu = 1-sin2u cosu = 1-(3/5)2 cosu = 4/5 si...

Q: 2 Find CD C = 4 %3D 5 6 Find DC D

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Q: Prove that lim(4x² – 25) = -9 X-2

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Q: solve for the valve of IL that makkes the series converge nk

A: The given series is: ∑n=1∞7nnk Let, an=7nnk;n≥1

Q: Find the vector component of v = (4, – 1,7) along b = (4, 8, –8) and the vector component of v ortho...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: Volume of a tetrahedron with adjacent edges given by the vectors u,v,w is given by, V= |u.(v×w)|/6

Q: Solve the assigned situation to you and create an appropriate word problem on given values. Show the...

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Q: Find the area of the region enclosed by the parabola y = 2 - x2 and the line y = -x.

A: We have to find the area of the region enclosed by the parabola y = 2 - x2 and the line y = -x.

Q: rtoo Е. re dx स०२२

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Q: S(*-4)(12: – z') dz

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Q: Find the vector component of v = 2i – j+ 3k along b = i + 2j + 2k and the vector component of v orth...

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Q: Select ALL possible answers if there is more than one. * ifr<! 16 1 Let f(x)= 3 . If f(x) is continu...

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Q: ta = ci + jand b = 8i + 15j. Find c so that the angle between a and b is ound your answers to four d...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given Edit 1 by the vectors u, v a...

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Q: EVALUATE THE INTEGRAL

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Q: Suppose the derivative of the function y = f(x) is y' = (x- 4) (x- 3). At what points, if any, does ...

A: First we find out critical points putting y"=0 then find out 2nd derivative test .

Q: Suppose a person with x years of eduction before seeking regular employment can expect to receive an...

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Q: Evalnate the fo llowing limits 1. lim 4x-5x+1 メ→ -4x? 2. lim I x²+5x -6 X- 4 lim (1x-7)* 3. 2.

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Q: (6w+12w") /w +w° dw

A: Given: I=∫6w-4+12w-7w-3+w-64dw So, we can also write as: I=∫6w-4+12w-7w-3+w-64dw=∫6w4+12w71w3+1w64dw...

Q: Evaluate the definite integral. 9. 1 dx 25 + (x + 4)2

A: We have to integrate

Q: The table below shows the number of accidents, fatalities, hours flown, and miles flown for a countr...

A: Given: Year Accidents Fatalities Hours Flown (millions) Miles Flown (billions) 2004 49 95 1...

Q: 45-54. First Derivative Test a. Locate the critical points of f. b. Use the First Derivative Test to...

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Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(2,3, 1). NOTE: Enter the exac...

A: Given

Q: If a region have axes of symmetry at y = x and y = -x then its centroid is at the origin. True O Fal...

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Q: Consider the initial value problem y = sin(xt), y(4) = 1 Use Euler's Method with five steps to appro...

A: Based on the general formula of eular's method we will solve the problem. Please follow the procedur...

Q: Below shows the graphs of the slopes of the tangent line of four different functions. Which of the f...

A: A) First graph is the type of =   - x2n And we know that these types of graph attains every value of...

Q: Find the general solution of the differential equation. 55y4) + 49y" + 4y= 0 y(x) =D %3D

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Q: DO NOT include spaces in between characters. I(x) If f(4)=3 and f'(4) = –5, find g'(4) when g(x)= Yo...

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Q: S3(*-4y")(>'+14y*-7)' dy

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: We have to find distance. 

Q: b) f(x) = (e* (Inx² – 3))*

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Q: Use the limit definition in finding/showing what is asked. 2. Given a function x3 – 2x2 if x < 2 if ...

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Q: Three computers are chosen at random from 15 computers of which 5 are defective. Find the probabilit...

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Q: Evaluate the given integrals. 4. J(secx + tanх)? dx

A: Given problem:- ∫ (tan(x) +sec(x))2 dx   

Q: 2 -х - 2 - 6x² - 7x, - 3y² – y³\ -y- 2y2

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Q: I did the first number. Answer only number 2 and 3. Evaluate the following limits.

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