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Q: Find the global maximum and global minimum values of the function g(θ)=4θ−6sin(θ)g(θ)=4θ-6sin(θ) on ...

A: We will use first and second derivative test to find this. 

Q: Find the intervals of increasing/decreasing, local extrema, intervals of concavity, and inflection p...

A: Here is the solution of the given problem.

Q: Use a double-angle formual to rewrite the expression. 7 - 14 sin2 x

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Q: Find the general solution. Show complete solution in handwritten. Thank you! 3. u dx + (1-3u)x du =...

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Q: A 1.85-kg steel ball is dropped from a plane to an ocean. If the velocity of the ball just before re...

A: Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equ...

Q: Use cylindrical coordinates. Evaluate ||/ 2 + y² dv, where E is the region that lies inside the cyli...

A: Given: ∬∫Ex2+y2dV Now, x2+y2=4 bounded by plane z=-1 , z=0Using cylindrical cordinatesx=rcosθ,    y=...

Q: 3. Let B be the ball of radius a centered at the origin. Use a triple integral to find the average d...

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Q: Corsider the curue C in Ro guen by r(t) = (t + 3t, t, t – 3t) con 0<t<1 An cxpresion to o calculte t...

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Q: The legs of an isosceles right triangle increase in length at a rate of 5 m/s. a. At what rate is th...

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Q: Give the Maclaurin series for sin(2x^3)

A: We have to find

Q: Find an equation of the following line. vertical line through (- 4,-8) The equation of the line is. ...

A: To find the equation of the vertical line through the point (-4, -8)

Q: A wire of length 6 m is divided into two pieces and each piece is bent into a square. How should thi...

A: We can find the answer as below

Q: Determine whether the series converges or diverges, and if it converges, find the limit

A: Given that: ∑n=0∞πn3n+1

Q: (x³ + xy² – y)dx + (y³ +x²y – x)dy = 0 .3 | %3D

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

Q: Write the standard form of the equation of the line through the given points. 13) through: (-2, 3) a...

A: We are going to solve

Q: Question: 11 Suppose that S(1) = 8 and f"(1) =-12. Find g'(1) where g(x) = a) y= 5 sin x- b cos x, s...

A: =&gt;d/dx (u/v) = ( v du/dx - u dv/dx)/v.

Q: Write the equations in cylindrical coordinates. (a) 8x2 - 6x + 8y2 + z? = 9 (b) z = 8x2 – 8y2

A: We have to find

Q: exercise 1 Find all fist and second partial derivatives of the following: (a) z= 4x³ – 5xy² + 3y³ (b...

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Q: Express the function in the form f. g. (Use non-identity functions for f and g.) G(x) = 7 + x } {f(x...

A: The given function is G(x)=xx+73

Q: 9. Test the equation for exactness and solve for the general solution. v(2uv? – 3) du + (3u?v? – 3u ...

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Q: Write and evaluate the definite integral that represents the area of the surface generated by revolv...

A: To find the value that the middle blank would fill.

Q: The goal of this problem is to show that the function f(x) = 3x? – 2x + x + 3 satisfies both the con...

A: Mean value theorem : suppose f is continuous on a,b and differentiable a,b . Then there exists some ...

Q: Draw a graph to match the description. Answers will vary. F(x) has a positive derivative over (-, -5...

A: Shown below

Q: polar coordinates, B f(x, y) dA f(r cos(0), r sin(0)) r dr d0 with limits of integration A = B = -4 ...

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Q: . Use log, 2 = 0.356, log, 3 = 0.565, and log,5 = 0.827 to approximate the value of the given logari...

A: Given, logb2 = 0.356 logb3 = 0.565 logb5 = 0.827

Q: Determine the total differential, dz. f(x, y) xye® 5xy Factor each part completely. dz =

A:

Q: Compute the first four partial sums S1, ..., S4 for the series having n th follows. an = ( – 1)"2 S2...

A: we have to find

Q: * CO 00 Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). Use - 0o a...

A: We will use concept of limit to solve this problem. 

Q: vīz, vi2+ V12 , V12+ V12+ V12 ,. .... Consider this sequence: i.e., a, = V12, a,1 = V12+a, ,n>1 Use ...

A: Given a1=12 and an+1=12+an, n&gt;1 First of all, we will write the first 10 terms in the given seque...

Q: Find the exact length of the curve. x = 1 + 12t2, y = 4 + 8t3, 0 sts 3

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Q: FINDTHE AREA OF THE TRIANGLE FORMED BY THE POINTS (8, -5),(-2,-7), AND(5, 1) BY USING HERONES FORMUL...

A: Given query is to find the area of triangle using HERKNES formula.

Q: (a) Find dr dy given that x²y + sin xy = 0.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Find the mass of the lamina that occupies the region D with density function p(x, y) = x + Y , if D ...

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Q: Consider the function f(x) = х — 2 х — 4 -

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Q: Question: 5 Use the definition to find the derivative of f(x) =- 12 +x at x=2

A: We have to solve

Q: Name the quadrant ir sine = and cose is II

A: We have to check

Q: 1 du u In u (b)

A: From the given problem: I=∫1e41ulnudu...1 Let, lnu=t So, lnu=tddulnu=dtdu1u=dtdu1udu=dtFor the limit...

Q: II. Solve the given first order ordinary differential equation. dy 1. 43 + 3 -10x = 0 dx

A: topic - differential equations

Q: Use spherical coordinates. |II (1 - x² - y²) dv, where H is the solid hemisphere x2 + y2 + z? s 25, ...

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Q: 1. yı(t) = 2t – 3, 2(t) = t² + 1, y3 = 212 - t %3D 2. y1(t) = 2t – 3, y2(t) = 12 +1, y3 = 212 – t, y...

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Q: Solve Y +1= e**y -1=De <+y dx

A: Given differential equation,dydx+1=ex+y

Q: Find the rectangular coordinates of the point whose spherical coordinates are given. (a) (1, 0, 0) (...

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Q: A curve with polar equation

A: To convert into cartesian equation 

Q: e + e-# a) Notice that lim coth(x) = lim has an indeterminate form of Ap x0o e – e-¤ evaluate the re...

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Q: y = x*lnx %3D %3D

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Q: 1 Find all fist and second partial derivatives of the fo (a) z= 4x3 – 5xy² + 3y³ - (b) z = cos(2x + ...

A: We are going to solve

Q: Find the derivative of the function. f(t) = emt cos(nt) %3D

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Q: 1. Determine whether or not each of the given sequences converges and if the sequence converges show...

A: We need to check whether the given sequence converges or diverges and if they converge ...to which t...

Q: Find the volume of the solid that is generated when the given region is revolved as described. The r...

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Q: V4x² – 49 (b) dx

A: