[In(y+2)dy Ans. 3 ln 3- 2 15. -1

Q: d Calculate r1(t) · r2(t)] and dt d [ri(t) × r2(t)] first by differentiating the product directly…

A: Given that,       r1(t)=9t i+4t2j+5t3k,   r2(t)=t4k

Q: -dx is an improper integral. A True B) False

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Q: Given: y = arctan sinh find y' at x = 2 cosh 1 1+sinh 1 cosh 1 %3D 3(1+sinh 1) cosh 1 1+sinh 1 cosh…

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Q: Evaluate the line integral | -ydx + xdy along the curve C : y? = 18x from (18, 18) to (0,0). NOTE:…

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Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not…

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Q: Find the series' interval of convergence and, within this interval, the sum of the series as a…

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Q: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee…

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Q: Use the formula k(t) |r(t) × r"(t)|| x r" (t)|| to find «(t). ||r(t)||° r(t) = ti+ t5j «(t)

A: To find k(t).

Q: -2 2. S- dx x(x-1)

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Q: Ir(t) - u(t)] and Ir(t) x u(t)] in two different ways. dt r(t) = cos ti + sin tj + tk, u(t) = j + tk…

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Q: Determine wnetner the function Isa linear transrormation. T: R2 - R³, T(x, y) = (x², 3xy, 2y²)…

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Q: Consider a surface defined by F(, y, z) = 0 whose gradient is (cos(Tx), z? e", 2ze"). The equation…

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Q: Find the first derivative of the function below: f(#) = cosh(cot(z² – 2x – 7)) %3D

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Q: Find curl (7z i + 8x j+4y k).

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Q: Use Lagrange multipliers to find the extreme values of the function f(x, y, z) = x² +y² + z2 subject…

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Q: Question 1 Which of the following is false? O yofe" = eu . Ine u (x) In e O yof log, u = u' (x) In a…

A: We can solve as follows

Q: Q2/ Check the symmetry of r² = -sin(20) %3D Ans./ Symmetry about the origin

A: Symmetry

Q: Evaluate the integral. V3 8 dx /1/v31 + x

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Q: If f(x) cos-(2x+5) 2, then dom(f) = %3D a+3 (A) (–3, –2) (B) [-3, –2] (С) (-3, —2] (D) (–1,1) (E)…

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Q: sin a Determine the derivative of sec x sec x cos z-sin z sec tan e sec2 a O 1 1-sin x sec2 x sec2 x…

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Q: Find y': y = arctan(e2x) 2e2x y 1– e4x? 2e2x y = 1 – e4x %3D 2e2x y 1 + e4x %3D 2e2x y 1 + e4x2

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Q: Question 5 Given the expression below, y = ecos" arcsec(ln(r 1)) determine y. Upload Choose a File

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Q: - 4g° + 1000g, where R(g) is in dollars Suppose a product's revenue function is given by R(g) g is…

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Q: Find V · (V × F) if F(x, y, z) = 3 sin xi + 6 cos(6x – 7y)j + 3zk.

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Q: Suppose a product's revenue function is given by R(g) = - 2q? + 400g. Find an expression for the…

A: Given problem:- Suppose a product's revenue function is given by R(q) =- 2q2 + 400q   Find an…

Q: Given the supply function   p=​S(x)=7e0.02x−1   find the average price​ (in dollars) over the supply…

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Q: Question 4 Given the expression below, +. 4rab determine y". Upload Choose a File

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Q: Solve the system of differential equations x' 4x – 15y ly' 2а — 7у - x(0) = 3, y(0) = 1 x(t) = y(t)…

A: We solve the given problem using method of elimination by use of operator D  .

Q: In |V Vr+i-2 dt, if we let / Vr+1 - 2, then dt is equal to A 4x°dx None 2(x²+ 2)dx (4x³ + 2)dx E…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 6 + 9x dx (x8 + 1)e*³.

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Q: In 1 decimal place Find the Surface Area generated by rotating the first quadrant portion of the…

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Q: y = In (csc 2)

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Q: Compute (a) a1 and (b) r2 for the iterative process defined by an +1 = 2an(5 – an) with æo 3. 10z, –…

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Q: Problem 3 Use the rules of differentiation to to find the derivatives of the function: (a) f(r)= 3rª…

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Q: Evaluate the integral (12x + 6y)dx + (9x – y)dy along the parabolic arc y = x² from (0,0) to (1, 1).…

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Q: Determine the vector field of F. F(r, y) = yi – xj

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Q: Answer the following questions for the function f(x) = a/a? defined on the interval -4 < x < 5. x+16…

A: We need to find concavity and inflection points.

Q: Find sin 0. cot 0 = 4 O in quadrant IV sin 0 = (Simplify your answer, including any radicals. Use…

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Q: A right circular cylinder has a radius increasing at the rate of 4 cm per second but its total…

A: A right circular cylinder has a radius increasing at the rate of 4 cm per second but its total…

Q: Find the area of the loop. Round to 5 decimal places. Technology only for the integral. Do not…

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Q: Find an equation of the tangent plane to the given surface z = x sin(x + y) at the point (-1, 1, 0).

A: Given,  z=x sin(x+y) ⇒x sin(x+y)-z=0 Let f(x,y,z)=x sin(x+y)-z Recall: The equation of the tangent…

Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

A: Given : f(x)=7x+1   To Find : a) Derivative of f(x) b) Tangent at point (a,f(a)) where a=5

Q: Evaluate the integral / (4x + 18y) dx + (27x – y)dy along the parabolic arc y = x? from (0,0) to (1,…

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Q: 2. (Section 9.2) A refinery produces both gasoline and fuel oil, and sells the gasoline for $4.00…

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Q: Find all the first and second partial derivatives of the function f(r, y) = x°y – 3y“. %3D

A: Given :f(x,y)=x2y-3y4To find : All the first and second partial derivatives of the function

Q: bounded by the graph of the function and the x-axis over the given interval. (Round your answer to…

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Q: Find all values of the angle 0 (in radians, with 0 s 0 < 2n) for which the matrix cos e -sin 0 A =…

A: The solution is given below

Q: Question 3 Determine the derivative of In(csc x) cot x Csc I - cot x CS z Previous

A: A detailed solution is given below

Q: 11 ti + dt

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Q: Determine the derivative: y = log (3x2) (01)प य log (3) ** In(10) 6 log (Sx) r In(10) Oy= 18x In(10)…

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