Find lim f(x). Im f0) -O x-2" X--2" (2.4) (4.3)

Q: Find the limit, If it exists. x- 1 lim X---

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Q: 12. Which of the following is equal to dx upon decomposition? х3 — x2 -2х 1. 6 A. C. 2+ х - 2 dx x…

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Q: Find div F and curl F if F(x, y, z) = 14y°z4i – 3x°z+j – 3xy'k. %3D div F= curl F=

A: Given that,Fx,y,z=14y6z4i-3x3z4j-3xy3k

Q: Evaluate the defınite integral. i+e"j+t k)dt O el2 12-( - 1) + O el2 – 1 i+ (e-' – 1) j + k el2 – 1…

A: ∫01e12ti + e-t j + t kdt=e12t12i -e-t j + t22 k01=e12112i -e-1 j + 122 k-e12012i -e-0 j + 022…

Q: Part 2: Differentiate the following functions. Show your complete solution. 1.) f(x) = (x +3x)1000…

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Q: The volume of the solid region, in the first octant, that lies below below the surface, z = above…

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Q: Find the standard form for the TANGENT PLANE to the surface: : = f (x,y) = x cos (xy) at the point…

A: The given function is  z = f(x,y) =x cos(xy)

Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downwa O…

A: a.   Parabola opens downward   b. Coordinate of vertax. Is (-2,-3)

Q: n²2" n=1 a) Show that the series is convergent

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Q: Use the integral test to determine the convergence or divergence of the series. 00 cos 1/k 21) E k2…

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Q: q. [sec' x/1 + tan x dx

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Q: Consider the following. u = 3i + 4j, v = -7i - j (a) Find u · v. -25 u v = 5- V 50 (b) Find the…

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Q: Solve the equation (2xy - tan y)dx + (x^2 - x (sec y)^2))dy = 0

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. (8t – 1)2 dt 0.

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Q: Determine whether F(x, y) = 2x²yi+ 8xy j is a conservative vector field. If so, find a potential…

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Q: 1. A soccer ball is kicked with a speed of 75 mph at an angle of 30° from the horizontal. Write the…

A: Given query is to find the velocity components.

Q: 1. Calculate the area of the graph enclosed by the curve y = sec(2x)tan (2x), the x-axis, and the…

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Q: Which of the following differential equation has the same order and degree? [dy]6 + 5y = e* A. + 8…

A: See the answer below

Q: The volume V, in liters, of air in the lungs during a three-second respiratory cycle is approximated…

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Q: L x² cos 2x³ dx? After substitution is performed, which of the following is equivalent to

A: Given that the integrals  To find the evaluate and choose the correct answer

Q: For the number 70260.011000 What is the number of significant digits and what are the significant…

A: Number of  Significant digits = 11

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim t-0 eSi + sin(2t). -) +…

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Q: dy 3) y = u5 and u = 3x – 1; 2 Ans: 2 = 15(3x – 1)* %3D dx dx

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: Solution: Given data, h(x,y)=x3-3x+3xy2

Q: The equation of the line passing through the point (– 3, 7) with slope zero. A. x = -3 C. x = 7 D. y…

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Q: S V9x² + 64

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Q: x3 + x – 1 ;dx J x(x – 1)(x + 5)²"

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Q: An auto weighing 1,500 pounds is on a street inclined at 10" with the horizontal. Find the force…

A: Let's find.

Q: 1) (-1)*- n² 2" n=1 a) Show that the series is convergent. Show All Your Work!

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Q: 9 5+ 8 g(x) 7- 4- h(x) 3- 5- 4- 2- 2- 1 1 2 3 X-values 3 X-values 1 g(x) , then h(x) If f(x) f'(3) =…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: 1. Which of the following integration techniques should be used to evaluate f. sec? x V4 - tan? x}…

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Q: Suppose the table below gives the velocity of a moving object at any time t. Note that 7 IS measured…

A: We have to find the distance and graph of v(t).

Q: Choose the values that are in the range of y= arccot x Select all that apply. NEXT QUESTION O ASK…

A: Given query is to find the values which are in the range of the function.

Q: 2x+5 Зх +1 5) lim 2х+5

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Q: Identify whether the given is a discrete or continuous variable. 1.The temperature of a cup of…

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Q: 25. æ sec (a²) tan(æ²) dæ | sin? x dx (Hint : cos (2x) 26. 1 27. dx 4- (ӕ — 1)? 1 dx 9x² + 25 28. dx…

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Q: 3. Write z = 12.2 - 31 in polar form. Use 3 decimal places.

A: The objective of the question is converting to polar form.

Q: 3) Compute the cross product: x

A: Let vectors are given as       a = 4i-j+2k    &   b = -5i -3j+10k

Q: y=x nd y=x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the solid…

A: The given curves are; y=x2 and y=x+2. And the bounded region is as shown below; Apply the circular…

Q: .9 dx The integral of the given function is equal to 4 x-Vx a. In2 b. In3 c. In4 d. In5 e. None of…

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Q: Find curl(5z i+ 6x j+9y k). curl(5z i+ 6x j+ 9y k) = ( i )i+(i j+( i )k

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Q: y y = x² + 1 5. y = x 2.

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Q: メp )の

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Q: Q3/ Find the limits x*+x²-2 1. lim X-1 -1 Vx+2-1 2. lim X-1 x+1

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Q: P2: (e* sin x + x ln x) dx

A: The given integral is:∫exsinx+x lnxdxWe need to solve the above integral.

Q: 2 2 2 2 4' 16' 64' 256' 1024

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Q: 3. if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33…

A: Given query is to find the amount needed to pain to the wall.

Q: dy - 3y= 5e* with initial condition K0) -5? dx Which of the following is a solution of the…

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Q: 6. If z = a+i is a root of the equation z² – 6z + 10 = 0, find the value of a, if a is a real %3D…

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