1) (y = 1

Q: (a) Find the curl of the following vector: A =r cos e f-( (sin & cos @ (spherical) (b) Find the dive...

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Q: f(t) = t³e2tsin2t

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Q: f(x)=((2x^5) - (3x^3) + 5)((2x^2) -(3sqrt(x))) what is f’(x)

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Q: 1 Evaluate the equation /o x² sin (xy)dydx

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Q: Find e4 if A =

A: Performing, |A- λI|=0 we have, (1- λ)(4- λ)= 0 Therefore, λ1=1, λ2=4 are the required eigen values.

Q: Find the inverse of the nonsingular matrix. 4 1 4 1 The inverse of the matrix is . 1 1 (Type an inte...

A: The given matrix,-4111

Q: -5 (0, -2) 5. -5 -5 (1, –6) -5 -10 graph of f(x) 2. A graph of an exponential function f(x) is given...

A: Equation of the function is y=-23xsee below the answer and explanation

Q: If f(x) = xcsc(x) , then f'(x) = %3D (A) (– csc(x) cot(x) In(x) + sc()) æcsc(x) CSC CSC | (B) – csc(...

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Q: If f(x) = log,(z), then lim f(z) - f(1) %3D I-1 (A) 0 (B) In(4) (C) mt) In(4) (D) 4 (E) 1 (A) (B) (c...

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Q: The cost per hour of running a motor boat is proportional to the cube of the speed. At what speed wi...

A: This question is related to distance time and speed.

Q: For the equation 2°y"+y'+ Y = 0. 1 y = 0, (z-1) a) Both 0 and 1 are regular singular points O b) O i...

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Q: = e?+ry-y² on the unit (a) Find all extreme points of the surface f(x, y) square. (The unit square h...

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Q: Use the integral test to determine the series converges or diverges 5n Σ .2 n=1 n+5 Diverges Converg...

A: We need to find if series converge or diverge.

Q: Find and classify all points where f'(x) = 0. Find and classify all points of inflection. Find inter...

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.  g(x)= in...

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Q: Find the general solution of xdy + ydx = 2x^2 ydx

A: differential equation

Q: Find the first derivative of y= (a - Va? + æ O a. (2 4 + 8x*) 8. 49V6 (等 )+ (等 ) (等-+) O b. 2/ 7. 8æ...

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Q: Find the derivative of the function, using the differentiation rules developed in this chapter. (Ent...

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Q: 1 at the point (1,1). Find the curvature of the curve f (x) =

A: We need to find the curvature of the curve fx=1x at the point 1,1.

Q: What is the equation of the normal to the curve x+y = 25 at (4,3)? Select the correct response: 5x-3...

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Q: Find the volume generated by revolving the area enclosed by the curve x2 + y2 = 25 about the line y ...

A: Explained below 

Q: Evaluate 23 - 7x2 +10x lim x² + x – 6 Select one: O a. -6/5 O b. -1/5 Oc. -5/6 O d. 2/5

A: limx→2x3 - 7x2 + 10xx2 + x -6

Q: Given the function f (x) = x3 – 3x2 what are the intervals on which f is increasing? Select the corr...

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Q: 2" Determine the value of the series or conclude that it diverges. n =0 102" +1 Selected Answer: The...

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Q: Evaluate dx. xVx* +1

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Q: 2. Find S x?e* dx.

A: topic - integration

Q: Find the Particular solution of the differential equation (dy/dx) - 3y/x =(x cubed); if y(1) =4.

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Q: If f(x) = 4c0s() , then f'(x)%3= (A) – sin(x) 4cos(x) (B) – In(4) sin(a) 4cos() (C) In(4) 4cos(x) (D...

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Q: If f(x)= zan(), then f'(a)D

A: Given that:fx= xtanxTo find f'x

Q: integral sec2(?) tan2(?) d?

A: Given that sec2?tan2?d?To find : Integral Solution :∫sec2?tan2?d?Let, tan?=tsec2?d?=dt∫t2dtt33+c

Q: Evaluate the outward flux of the vector field F = (2x? – 5e" + sin(2²), –4ry + ln(x*), 5z – 3x²y°) a...

A: Given

Q: Solve the logarithmic equation exactly. (Enter your answers as a comma-separated list. If an answer ...

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Q: Let W be the region that is cut aut from x't v<4 by the pora blae id Rs X'ty ond the plane =10. Eval...

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Q: A Norman window is in the shape of a rectangle surmounted by a semi-circle. What is the ratio of the...

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Q: A particle moves with the position function ř(t) =. Find the tangential and normal component of the ...

A: A particle moves with the position function r→(t)=4t,t2

Q: Solve the system. Use any method you wish. = x+ 12 y 19x +y 2 = 144 %3D

A: topic - solution of equations

Q: An example of subtracting positive and negative integers that would result in a negative answer coul...

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Q: Find f, the inverse of f. f(x) = 4 + In x f(x) = (Simplify your answer.)

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Q: siny ( x + sin y ) dx + 2x² cosydy %3D

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Q: бх4 — 5х3 + 4x2 dx 2x2 — х + 1

A: Given:           ∫6x4-5x3+4x22x2-x+1dx

Q: . Use an appropriate comparison test (either Comparison Test or Limit Comparison Test) to determine ...

A: We have to find out

Q: Solve for y(t) where y(t) + 2 / a – u)y[w)du = t.

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Q: -3Xy +4y =0 2. Y -8y-0

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  so here we have

Q: 4. x sin xdx /3

A: Here we have to evaluate I=∫π3π3xsinxdx

Q: Example 9 : Form the partial differential equation by eliminating the arbitrary constants from 2z Vx...

A: We can find the partial differential equation as below

Q: Suppose that the functions f and g and their derivatives with respect to x have the following values...

A: topic - functions and derivatives

Q: HOMEWORK 16: Graph the following equations. T. y = (x² + 2x + 1)(x – 4) TIA 2. y? = x2 + 5x +7 x3 3....

A: Given : r² = sin(2θ) - 3cos(θ)

Q: According to Newton's Law of Cooling the rate at which a substance cools in air is directly proporti...

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Q: If v(t) = 4t + 3t – 1 is the velocity of an object over time, what is the acceleration of the object...

A: Note: As per the company guidelines we can solve only 1st question please repost the 2nd question  G...

Q: A particle travels along the x-axis such that s = 41-2t + 5 where s represents its displacement in m...

A: we have to solve the problem