Use polar coordinates to calculate the volume of a sphere of radius R.

Q: Sond equation of tongend e to graph o Suneten at given pt aNc cos X

A: Topic = Function

Q: 3. A particle is moving with the given data. Find the position of the particle. a(1) = 3 cos/-2sint,...

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Q: sin 4x Given: - Txwhat is the appropriate formula to find the integral? cos?(4x) (2 – 3 sec 4x) 1 (A...

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Q: folve the given differential equation by finding Factor. appropriate integraing an Gxy dx t (ay +ax3...

A: Let's find. 

Q: 3(1+t^2)dy/dt=2ty(y^3-1) how to solve this differential equation

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 RX) = È (-1...

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Q: Find the domain of the vector-valued function. r(1) =In(1– 1)i+v4-1j O (-1,4] O 14,-1] O 1,4) O (1,4...

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Q: (2 1). If Let vi = 1 2 2 is ,V3 V4 3 a dependence relation on (v1, v2, V3, V4) thenx = a) 17 b) 15 c...

A: Here, we have v1=111, v2=123, v3=321, v4=210. If xy-1-3 is a dependence relation on v1, v2, v3, v4, ...

Q: cos 2X 80 dx csc (x) sec (X) CSC

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Q: In?(x) 25 log (x)

A: To find:-

Q: Consider the relationship 7r+4t=21.   a. Write the relationship as a function r=f(t).   Enter th...

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Q: A sphere is expanding with time. Assume that the volume of the sphere is V = (4pi * r ^ 3)/3; r(t) =...

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Q: Integrate the following: xdx 1. S x²-x+1 xdx 2. S V9x4-1 dx 3. S XVx-1

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Q: Verify that the indicated function is an explicit solution of the given differential equation. Assum...

A: Given:     y''-6y'+25y=0     y=e3xcos4x      y'=ddxe3xcos4x  Apply the product rule: ux·vx'=u'x·vx+u...

Q: 10.fx'e'dx Task #2: Solve the following integrals of power of sine and cosine, tangent and cotangent...

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Q: dx xvx*-4

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Q: Verify that f has an inverse function. Then use the function f and the given real number a to find (...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: 5. The sum of the first 12 terms of an arithmetic series is 186, and the 20th term is 83. What is th...

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: What type of discontinuity is present in the function 3x – 2 if r 2 O The function has a removable ...

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Q: • The domain of h is [-3, 3]. h" (x) 0 on -3 < a < -1 or 1 < <3 • There is a local maximum point at...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: 4x-1 4x-1 Calculate lim and lim If the limit does not exist but can 8х-5 8х-5 x→-00 be described as ...

A: Here, to evaluate the given limits  limx→∞4x2-18x-5  &amp;   limx→-∞4x2-18x-5

Q: Please see the attached photo for the given and don't use the Transcribed Image Text because it's ch...

A: Given function f(x)=lnx2+4 “Since you have asked multiple subparts question, we will solve the first...

Q: Which of the following statements is true? The sequence {ln(n)}, is bounded, monotonic and converges...

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Q: Solve the given initial-value problem. dy + y = In(x), y(1) = 20 dx (x + 2) y(x) = Give the largest ...

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Q: df Find dx by using chain rule if f = u =-1 , x=-1 u+1

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Q: Find the derivative with respect to x of the function r4x t² F(x) = e dt.

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Q: Example 16. Minimize the four-variable logic function using k-map : f(A, B, C, D) = E (0, 1, 2, 3, 5...

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Q: Question The derivative of the function tan(In(vx² – 6x +1)) is: -

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Q: Q3) A) Graph the two equations and find the points in which graphs intersect x+y = 0, y= -(x- 1) TA ...

A: A) The graph is shown below:

Q: x+1 For the function g(x) = , 2 a. Determine the equation for any vertical asymptotes, if there are ...

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Q: Using appropriate substitution, the integral S e t3 dx is equal to:

A: ∫ex-3dx/x4 now substitute u = x-3 du/dx = -3/x4 dx = -x4du/3 ∫ -eudu/3 (-eu)/3 + c now put value of ...

Q: 1 :dx J xV16ln² x – 9

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Q: 1 Use the Integral Test to determine whether the scries is convergent or V3k + 5 k=1 divergent. Reme...

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Q: II. Find the standard equation (slope-intercept form) of the tangent line to the given function at t...

A: topic- equation of tangent line

Q: n i Evaluate lim ze/n², i=1

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Q: B) Express the given quantity in terms of sin x and cos x. Sin (2n – x)

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Q: Write the first five terms of the sequence: +o0 {Vn? + 7n – n}n 1 Determine whether the sequence con...

A: The given sequence is {√(n2+7n) -n}.

Q: Evaluate the following iterated integral. 1- y² (x² + y²)° dx dy 1 0.

A: double integration changing into polar form

Q: Find the fourth derivative of the function f(r) r - 32+ 2r3- ² + 4x- 10. 4. Find the first and secon...

A: find the derivative

Q: Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x [0, 4], then find the area of...

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Q: * = k (T – Tm) dt where T To

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Q: raluate the integral / V4x4 – 12r2 +7 xdx. A - (4x* – 12r? +7)½ + c 24 B - {(2r²– 3) /4x+– 12x²+7 – ...

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Q: Show that the sequence +o0 is eventually strictly increasing or eventually strictly decreasing. an+1...

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Q: A. Let a(x) = x + 2 and d(x) = vx+5, find: 1. (d a)(x) 2. (d a)(2)

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Q: Fill in the table with the correct information by referring to the function f below. The table conta...

A: We will check at each point of interval to determine the continuity or discontinuity.

Q: Use the difference an+1 – an to show that the given sequence {an} is strictly increasing or strictly...

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Q: What point on the function y = sqrt(x + 3) is the closest to (2, 0)

A: We have to find closest to the given curve from (2, 0).