B) Find for the Implicit function: dx x? – sin(xy) + y? = 5xy

Q: f(x) = 2sinx-x3ex 1. What is the first derivative of the equation? 2. What is the second derivative…

A:

Q: Q16. Consider the function z = f(x, y) = x² + 16y? + 4. (a) What is the domain and range of ƒ ?…

A: Given function f(x,y)=x2+16y2+4 As per our guideline we supposed to answer only first three subparts

Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = 4 cos(7t)i+4 sin(7t)j+ 3tk K(t)…

A: By using the formula kt=r't×r''tr't3 to find kt.rt=4 cos7t i+4 sin7t j+3t k

Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = t2…

A: As per given  We have to solve above question  Given  V(t)=t2-2t-8

Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

A: First supposed that an angle as alpha then use trigonometric ratio  and make a relation between x…

Q: Find the average value gave of the function g on the given interval. g(x) = 3x, [8, 64] gave =…

A:

Q: (c) in the tank to a height of 1 m above its top. Do not evaluate the integral – just write it down.…

A: answer is in next step

Q: 12. Find the flux of the field F(x, y, z) = 4xi + 4yj + 2k outward (away from z-axis) through the…

A: Flux of the given field is given by

Q: 3. Calculate the line integral S F - d7, where F = (x²y³, x³y?) and C is the path given by C 7(t) =…

A:

Q: A. Identify if the given limit is NORMAL, OSL-RIGHT, OSL-LEFT or DNE. x-2 1. lim x--4 x2-2x x+4 2.…

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Q: Show that (1-)" =e= %3D Which of the series converge and which diverge. 4n+3 (1) E=14 m%3D1 (-4)"…

A:

Q: Lnx sin 2x dx

A: Use the properties of definite integral and solve the question.

Q: Find the particular solution of the following ODE given that y(0)=0 and y'(0)=0: d'y_4dy –4+3y=…

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Q: Estimate cos E- 0.1) + cos

A: Follow the procedure given below.

Q: Use Newton's method to approximate a root of the equation +x + 4 =0 as follows. Let 1 = - 1 be the…

A: The given equation,    x3+x+4=0

Q: Verify Green's Theorem by evaluating both integrals aN y? dx + x² dy = /, J da ay ax for the given…

A: We have to verify the green theorem for the

Q: (10 + 5x – 2x³) dx

A:

Q: A. Identify if the given limit is NORMAL, OSL-RIGHT, OSL-LEFT or DNE. x-2 1. lim x-4x2-2x x+4 2. lim…

A: 1)limx→-4 x-2x2-2x x -4.1 -4.01 -4.001 -4.0001 -4 -3.9999 -3.999 -3.99 -3.9 f(x) -0.2439024…

Q: velocity function (in meters per second) is given for a particle moving along a line. v(t) = t2 - 2t…

A:

Q: dx S x(1+(lnx))²) 2.

A: This question is related to indefinite integration, we will solve it using given information.

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the…

A:

Q: The demand curve for a certain product is given by p(q) = 517- q. The supply curve is given by p(q)…

A: We have to find the consumer surpless.

Q: Find fr(x, y) and fy(x, y) given f(x, y) = tan x· cos os(x² – y?).

A:

Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: (a) The given function is: f(x)=x3 The formula for the linear approximation at x=27 is given by:…

Q: 1 Find Vf if f = 2 /x²+y² +z?

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bxº dx 10ax + bx10

A: Evaluate the indefinite integral

Q: Use Chain Rule to find given w = ds x2 – 2y + z2 and a = cos (st), y = -2s In t and z = s – - VE.

A:

Q: 6. A particle is moving along a straight line. After t seconds the distance the particle has…

A: Here, the acceleration a of the particle is given by:…

Q: Find the arc length of the graph of r(t) = ev2ti+ e¯v2tj+ 2tk, 0<t< v2 In 5 NOTE: Enter the exact…

A:

Q: Find the arc length L of the graph of r(t). 1 rt) - i+t j+Vor k, 2<1<5 2 <t< 5

A:

Q: Find the minimum and maximum values of the function y = x-1 on the interval [1,6] by comparing…

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Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (o, 0) to (0, -9) and (0, -9) to (5, -9) 589 2

A:

Q: a1, a2, a3, . be a geometric seq is also a geometric sequence by that af, a3, až, (a) Σ (1- ). (Φ)…

A: topic - sequence and series

Q: Write an equation for the function graphed below. Use the smallest powers possible to meet the…

A: To find the equation of given graph.

Q: g(b) Use the Substitution Formula, JKax) •gʻ(x) dx = [ | f(u) du where g(x) = u, to evaluate the…

A: The given integral,a) ∫-334rr2+22drb) ∫034rr2+22dr

Q: A rotating light is located 15 feet from a wall. The light completes one rotation every 5 seconds.…

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Q: Determine the value of 3A+1OB if 14x2 + 33x + 9 Cx + B %3D (x – 1)(x+ 1)2 x - 1 (x + 1)2 Answer:

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Q: -2ry f (r, y) = e

A:

Q: Find the arc length L of the graph of r(t). r(1) – ittj Vor? k. 1 r(t) = t i+tj 2 <t< 5 L = i

A: To find the arc length L  of the graph of r(t).

Q: e velocity function (in meters per second) is given for a particle moving along a line. v(t) = t2 -…

A:

Q: 12 12 f(x) dx = 16 and 9. If f(x) dx = 5, find the following. %3D f(x) dx

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Q: Find T(t) and N(t) at the given point. r(t) = (t – 2)i + tj; t= 2 T(2) = N(2) =

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Q: he acceleration function (in m/s²) and the initial velocity v(0) are given for a particle moving…

A: Given query is to find the velocity function and the distance traveled.

Q: Calculate the first five derivatives of f(x) = – sin(x). Then determine f(8) and f(9). (Use symbolic…

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Q: 10 Consider the function f(x) Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(z)

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Q: Find the average value fave of the function f on the given interval. f(x) = 18x – x², [0, 4] fave…

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Q: 5. y = [csc Jarcsin (cos.x)

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Q: For what values of x in [0, 2T does the graph of f(x) = x + 2 sin x have a horizontal tangent? List…

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Q: 2x + 6 Consider the function f(x) = . For this function there are two important intervals: (– ∞, A)…

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Q: Solve for the function that will satisfy the given Bernoulli Differential equations: dy/dx + (1/x)y…

A: