Differentiate...

Q: Find the differential of each function. (a) y = etan(nt) dy = (b) y = V4 + In(z) dy =

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Q: Activity 1. Find an equation of the tangent lim given point. 1. y = 16 - x2; 2. f(x) = 3x2 + 9x; (0,...

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Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818...

A: Let x=0.904818181818... Multiply 1000 on both sides.

Q: a) Find the center of the sphere satisfying the equation, x2 + y2 + z2 - 2x + 4y + 2z = 10. b)Fin...

A: The given equation of sphere,   x2+y2+z2-2x+4y+2z=10

Q: c. Describe in words the meaning of the question "For what value of Tis f(T, 20) = -49?" Then answer...

A: Find your answer below 

Q: 3. lim f(x) = -2, lim, f(x) = 2 and f(2) = 0 4. lim f(x) = +0, g, f(x) = -0

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Q: Find the equation of the plane that contains the point (3, 2, 3) and the line  x = -4 +4t, y = -3t,...

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Q: Evaluate and state limit laws used

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Q: -dx x´ +2x+3

A: The given integral,       ∫xx2+2x+3dx

Q: Problem 3 Use integration by parts to prove the following reduction formula where n> 2. 1 | sin" (x)...

A: Given problem:-  

Q: Find an equation of the tangent line to y = 7 sin(x) at x =

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Q: x+tan x 4. lim X→0 sin x

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... =

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Q: A silver dollar is dropped from the top of a building that is 1317 feet tall. Use the position funct...

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Q: 4.cos(x) Let f(x) = and calculate sin x f(x) dx by using integration by substitution. What was your ...

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Q: differential

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Q: Determine whether the integral is convergent or divergent. The integral from -2 to 14, 7/(x+2)^1/4 d...

A: integration ∫-2147x+214dx

Q: If x2+y?+z? = 9, dt dx dy = 7, find zp dt when (x, y, z) = (2,2,1). = 8, %3D %3D dt dz dt X when (x,...

A: Given x2+y2+z2=9dxdt=8, dydt=7     

Q: Find equations of all lines having slope - 1 that are tangent to the curve y = x-8 Select the correc...

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Q: I+ Vr4 – 3r lim -0 1 - Vr+ 3x * + 3r

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Q: Evaluate the iterated integrals  ∫1 0  ∫1 0 dxdy

A: Given query is to find the value of the integral.

Q: Determine the speed (in meters per second) of a particle with a trajectory (3 sin (3t), 8 cos (3t)),...

A: We have to find dsdtt0=π4

Q: dy (2a³ – 3x²y + y³) 23 – 6x²y + 3ry? dx %3D

A: This question is based on solution of homogeneous differential equation.

Q: Type C if the statement is TRVE Type A if the statement is FALSE Typc D if the statument is NCIther ...

A: Given statement is  fx and fy are the special cases of directional derivative in the directions of t...

Q: The following three vectors are coplanar: (3,5,6), (6,10,12), (-3,-5,6) True False

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Q: Identify and sketch the following quadric surfaces. Label the vertex/vertices in your sketch. (a)  ...

A: Follow the procedure given below.

Q: 1 Evaluate dz, where (i) C is z+ = 2 .2 +1 C

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Q: Determine whether the integral is convergent or divergent. The integral from 0 to 9, 7/(x-1)^1/3 dx ...

A: The integral is  ∫09 7(x-1)1/3dx

Q: is Convergent divergent. Evalate Determine whether each integral convergent. or those that are In X

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Q: Se2*dx 8.

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Q: ed Help? Read it

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Q: Problem 2 Evaluate the integrals. (a) •1//2 4 dx 1/2 (b) V3/4 dx 1+16x2 (c) | tanh (x) dx (d)

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Q: ii. cos(cos-G

A: Given query is to perform indicated trigonometric operation.

Q: Find the directional derivative of f(x, y) = sin(x + 2y) at the point (1, -3) in the direction 0 The...

A: We have too find direction derivative.

Q: 8. Evaluate the limit. VI +5+ (In x)10 3/T+10+ (In x)20 (a) lim

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Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1

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Q: by’dx -x(2x° + y)dy - 0 ; y(1)=1 2.

A: Make this equation first linear then solve by finding integrating factor

Q: Third degree, with zeros of -3,-1, and 2, and passes through the point

A: We have to find polynomial

Q: y = Cje2" + C2e¯®

A: y=C1e2x+C2e-x differentiate with respect to x dydx=2C1e2x+(-1)C2e-xdydx=2(y-C2e-x)-C2e-xdydx=2y-2C2e...

Q: Evaluate the expression. 3 4 O A. -81 O B. 81 Ос. 81 1 O D. (-81)

A: We can find the answer as below in simplified form.

Q: 3. f (а - х)-3dх

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Q: 1 dr r/1+ x6 (use trigonometric substitution) 3.

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: Let S(z) = {-3z? + 5z for z 0. 3z2-2 According to the definition of the derivative, to compute f'(0...

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Q: 4t2+3t sin t 2. lim t 0 t2

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Q: At what points is the following function continuous? 6x tan 3x y = x2 +2

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Q: Find the measure of 4x. 134°

A: We need to find angle x.

Q: f(x)

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Q: In Exercises 35-46, find the intervals on which f is concave up or down, the points of inflection, t...

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