Determine an equation of the tangent line to the curve y = (3x)(sinx) at x =

Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt the product directly and…

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Q: From 1990 to 2000 the student tuition at a University grew from $12,000 to $18,000. (a) Using the…

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Q: (D² + 4)y=12; y(0) = 0 , y'(0) = 2 %3D

A: (D2+4)y=12

Q: Evaluate the iterated integral. T/4 '5 y cos(x) dy dx

A: A detailed solution is given below

Q: Consider the matrix 2 -1 A =| 1 3 -1 -2 2

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Q: Determine

A: Given,             limx→1x2-4x+3x2-x

Q: Find the first partial derivatives with respect to x,y and z. f(x. y.z) - 3x°y - 9 xyz + 10 yz %3D

A: Find first partial derivative

Q: 5 4 3 1 T1/2 3π/2 -1 -2 -3 + -4 -5 The graph of the function f(x) = cot x is given above for the…

A: Solution is given below:

Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

A: Given :

Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: Directions: Compute f'(3) for each of the following function. Then connect item A to item B by using…

A: We have to find the value of f'(3).

Q: What is the equation of the plane to the surface z = e3y sin(3x) +2 at the point P ,0, 3 %3D O x- y…

A: The solution is given in the next step.

Q: ne graph of f(x) = (2x + 1)- %3|

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Q: Solve using L.apiace transform: 2u – uz = xt, t> 0, u(0, t) = 2, u(x,0) = 1. %3D

A: Given

Q: xe 1. lim, »o X→0 1-e*

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Q: QUESTION 10 If you have $51,000 in student loans at an interest rate of 3%, compounded monthly, what…

A: Solution:

Q: 2. S 2z+8 dz (z+7)a

A: A detailed solution is given below

Q: 2x 1- cos x Graph f(x) = sin for Osxs2x by using transformations. 2 2- Use the graphing tool to…

A: To find: the graph of sin2x2 = 1-cosx2 for 0≤x≤2π Graph of cosx will be as following

Q: ri(t) - r2(t)] = ri(t) × r2(t)] dt

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Q: Here is a review question, do you remember how to find tangent lines? Find the equation for the…

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: What is the equation of the tangent plane normal to x2 + y2 + z = 9 at the point (1, 2, 4)? O 2x -…

A: Given; f(x,y,z)=x^2+y^2+z-9  Point (1,2,4)

Q: 6 foND THE EXACT LENGTH Of THE zt -2t PARAMETRIL y(e)=1+4t CURVE X= e te

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Q: 21) Canvert tue rectengu ler equetion to poler forms. C 1ll- yt 1020 a) ra 20 coso り ne b 10 フ 2…

A: The given equation is: 11x-y+10=0   As we know that; The polar coordinates; x=rcosθ, y=rsinθ

Q: The outside diameter of a thin spherical shell is 12 feet. If the shell is 0.3 inch thick, use…

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Q: 4. Find the length of the arc of the curve 6xy=yt +3 from the point where y - 1 to the point…

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Q: Activity 1.5.3. A company manufactures rope, and the total cost of producing r feet of rope is C(r)…

A: A company manufactures rope, and the total cost of producing r feet of rope is Cr dollars.To…

Q: "I INAICATE If THtE fOLLUWINh SRRZES ConveilCE OR DeveRしe。エ0ENTICY Tésrs Uszo. TESTS HT in (4nt -n)…

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Q: 20) Find two sets f polar coordinetes, (r, o),0LOL2 IT Por the point (6,6) in recten- gular…

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Q: (x – 2)y' + y = e“, y(3) = e³ +1

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Q: Find all first and second partial derivatives of the following function: f (x, y) = e*Y + y sin x.…

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Q: Use the following series in determining the IOC and ROC. The summation of [(7^n)/(n+5)](x-4)^(n+2)…

A: Given  problem:- Use the following series in determining the IOC and ROC. The summation of…

Q: Determine whether the improper integral diverges or converges. 0. 8x xe dx -o. converges O diverges…

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Q: Verify Green's Theorem by evaluating both integrals Lr dx + x* dy = / dA ду x² dy ax for the given…

A: In this question we verify Green's Theorem                 i.e, verify integral  ∫C y2 dx +x2 dy =…

Q: 2. Find an equation of the plane containing the point P (0,-.) and the line determined by the two…

A: Equation of a plane P containing a line of intersection of two planes P1,P2 is given by, P=P1+λP2

Q: Find T(t) and N(t) at the given point. r(t) = 9 cos(t)i +9 sin(t)j + tk; t = 2 || T(;) N ||

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Q: 14) Find aset of parametnic equetians for the rectangular aquetiag d= 4x2 tust Setisfies fue…

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Q: ||(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 3 r(t) = e10ti + etj

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Q: 3z+1 Evaluate: S xp- 6z² -14x-12 ○ 륵m6z-21 + 흉mz + 6| +C O 음l미2z-6|+ n3z + 2| + C ○ f미3z-4|-3n 2z +…

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Q: d dri(t) • r2(t)] = d [ri(t) × r2(t)] dt ||

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Q: 0.09 ) 12t At the end of t years, the future value of an investment of $37,500 in an account that…

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Q: Зх -5 dx (x+1) (x+2)²

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Q: Find the dimensions of a rectangle with a maximum perimeter that can be inscribed in the ellipse 4x…

A: Given ellipse 4x2+9y2=36                ->Equation(1)Let (x,y) be the upper right corner of the…

Q: The graph of the function f(x) = tan x is given above for the interval x E [0, 27] ONLY. Determine…

A: Given, the graph of the function fx=tanx,   x∈0,2π We need to evaluate the one-sided limit.

Q: alluse The g auss elemina fion to find the 2. -3 2. -2

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Q: Is) Phd an equetian f te tangerut lme et a point C0.0) on the cur ve X= t-144 Aswers: aj 2y-x>0…

A: Topic = Derivative

Q: A potter forms a piece of clay into a cylinder. As he rolls it, the length, L, of the cylinder…

A: Here, the amount of the clay is fixed. dVdt=0...(1) Now, the volume of the cylinder is given by:…

Q: 5 8. Let f(x) =-x + 4 cos 3x. On the interval 0 < x< 2n, what is the average height of the function?…

A: A detailed solution is given below

Q: a/a + b/b 189 a/b + b/a = 180 Find a and b value

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