log x y = dy dx 5+5ln5logx x² In5 dy 5-5ln5log x dx x² In5 Option 4 Op tion 3 dy _ 5-5ln5logx x² In5 dx Op tion 2 None of these dy_5+5ln5logx II

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: Convert the Cartesian equation x² + y² -2x= 0 to a polar equation. x2 + y2 -2x 0= O 2=-2 cos e Or= 2…

A: Given artesian equation,x2+y2-2x=0Put…

Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 9. F(x) = (t° + 8t – 4) dt F(x)…

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Q: Find the following using the table below. 123 4 f(x) f'(x) | 3 | 1 | 4 2 2 3 4 1 (x)6 2 3 4 1 E|…

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Q: 4. S 9-x- dx

A: Given problem:-

Q: Match each 0 with its corresponding quadrant location. -5 , cos O is negative 1 tan 0= Quadrant IV…

A: To match each θ with its corresponding quadrant location.1 tan θ=-512, cos θ is negative.2 cos…

Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y, z) =…

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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: Find the limit algebraically. lim 1 x--4 Select the correct choice below and, if necessary, fill in…

A: The solution is given below

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: x-1 y = log, x+1

A: We know, ddxlog(x)=1x ddxu(x)v(x)=v(x)u'(x)-u(x)v'(x)v(x)2 log(ab)=log(a)-log(b) log(a)n=n*log(a)

Q: Solve the equation xy^3 dx + (y + 1)e^(-x) dy = 0.

A: Given:  xy3dx+(y+1)e-xdy=0xy3dx+(y+1)e-xdy=0(y+1)e-xdy=-xy3dxDividing equation on both sides by…

Q: One set of cylindrical coordinates of the point with the rectangular coordinates (2, 2, 4) is:…

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Q: 24. (EXERCISE) Consider the function f(x)=3x* – 20x' + 42x² – 36x

A: The given function,   f(x)=3x4-20x3+42x2-36x

Q: Type the correct answer In each box. -5 5 10 -20 0 a = b: and d%=

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Q: P1:

A: Solving

Q: 22. Suppose the velocity of a particle moving on the number line is given by v(t) = 61² – 4t for…

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Q: convert csc x/ cos x to sec^2 x/ tan x

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Q: 12. y" +y = séc' x tan x.

A: Let's find.

Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

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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: Exercise 2. Find the following limits 3x +1 1) lim 2x +5 1-3x2 3x +1 2) lim X 2x +5 3) lim x- 2x+5

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Q: So ez dr. Write out the terms of the sum, but do not evaluate it: Sum = On another sketch, represent…

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Q: Evaluate the line integral. The simple curve is C is y = x² starting at (0, 0) and ending at (1, 1).…

A: We can solve as follows

Q: Q3: Find gradient of the following function at given point 1) f(x, y) = y –x, (2,1) 2) g(x, y) = y –…

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Q: 1. The complex numbers s and t ar as follows: s = 3+i, t= 2 – 3i Calculate the following. a) st +5…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 9 cos(t)i + 7 sin(t)j +…

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Q: 1. 2 Vĩ-

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5. For which values of a and b the following function is continuous at x=-2 3x + a x -2

A: A function f(x) is said to be continuous at a point x=a iff limx→a-f(x)=limx→af(x)=limx→a+f(x)…

Q: Explain why the function f(x) = ez is not injective (one-to-one) on its natural domain.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue…

A: Let's find.

Q: 1. Find r(9/2)=? 2. В (3, 2) %3D?

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Q: Find the 5th order Taylor polynomial about a = r for sin x.

A: To find Taylor polynomial for given function

Q: 3) Compute the cross product: x

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

Q: Let F(a) = f(x*) and G(x) = (f(x))". You also know that a = 2, f(a) = 3, f'(a) = 15, f'(a*) = 2 |3D…

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Q: 1000 V(x) dæ. Be sure that you can explain in words the meaning of this integral. What are the units…

A: Given:-unit of V(x) is decibels/minunit of dxchange in x  is m

Q: The velocity dx/dt of a chemical reaction is proportional to (a-x), where x is the amount…

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Q: The equation o=- in spherical coordinates represents sphere. Select one: True O False

A: Here, the given equation is: φ=π5

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: 1 dx x(x3000+1)

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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: Instruction: Create 1 example problem about Area Region Bounded by Different curves. Write the…

A: This question can be solved using the concept of area bounded by curves.

Q: Find the ff value in the matrices. PART I IF P= A+B find the value of the following # 1 P1 # 4 P21 #…

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Q: 6. 19-x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 7. Two planes leave the same airport. The first plane leaves at 5:00 pm and averages 470 mph at a…

A: Given problem:- Two planes leave the same airport. The first plane leaves at 5:00 pm and averages…

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

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Q: y= Arccos(e2x)

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Q: P2: |(e* sin x + x In x) dx

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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: g. f(x) =x' +Vx + h. f(x)=sec(3x)+ tan(5x³)

A: