- fyr. For the function f(x, y) = e²´y sin(xy) show that Clairaut's Theorem holds, that is, fæy

Q: Calculate the left Riemann sum for the given function over the given interval using the given value ...

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Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. 52n + 5 (a...

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Q: 2. Let b 1, and graph C ate- using different values for a. Explain the effect of the parameter a.

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Q: 39. If z = 5x² + y² and (x, y) changes from (1, 2) to (1.05, 2.1), compare the values of Az and dz.

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Q: Question 7 Evaluate | (6x² – 3x2 + 5) dx (A x3+ 3x-1+ 5x+ C B 2x3+3x-1+5x+C 2x3+ 3x -1+x+C 2x3+x-+5x...

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Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That ...

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Q: Consider the function f(x) = 1 – 5x on the interval - 3, 4. Find the average or mean slope of the fu...

A: Application

Q: Find the derivative of the function. g(x) = ex³ - 2x g'(x) =

A: The function is given by gx = ex5-2x Formula Used: The chain rule of the derivative is ddxfgx = ddgx...

Q: Determine the following limits. (a) lim f(r) -4 2) 2) (b) lim f(r) -1 (c) lim f(r) (3, -4) (d) lim f...

A: According to the company rules we can answer only first three subparts and rest can be reposted.

Q: Consider the function f(r) - 6. 6x on the interval 4,5. Find the average or mean slope of the functi...

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Q: Solve the given differential equation. All solutions should be found. (8y" + 20°y) dx – (7xy° + x") ...

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Q: 25. What is the particular antiderivative of f(æ) = passing through (4, 1)? 2 3 3 а. У с. у 3 -- b. ...

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Q: Use the Laws of logarithms to rewrite the expression x°y13 log zl1 ,5,13 in a form with no logarithm...

A: Given query is to find the value of A,B and C.

Q: Subtract and simplify. (3 – 5i) – (-8 + i) (3- 5i) – (- 8+ i) = | (Simplify your answer. Type your a...

A: Given query is to simplify the expression.

Q: |l. Find for and fy for flx,)= cOs (x)) No need to simplihy -/2 fx = cos (xy)- 1x -(-sin (xy)- y. 1x...

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Q: Answer the following True or False: 3 and f(7), S() Is horizontal at z C. 3. Then there exists a c L...

A: According to Rolle's theorem- If a function f(x) is differentiable from x=a to x=b. And the values f...

Q: Find the value or values of x for which the curve of the following functions has a point of inflecti...

A: This question is based on finding inflection point of function.

Q: Determine (without solving the problem) an interval in which th solution of the given initial value ...

A: 16-t2y'+5ty=7t2 , y(-7)=1 ⇒dydt+5t(16-t2)y=7t216-t2 16-t2=0⇒ t2=16⇒ t =±4  

Q: f(x+h)-f(x) The expression for h +0 is called the difference quotient. Find and simplify the differe...

A: .

Q: Find the limit of the sequence using L'Hôpital's Rule. (In(n))² an = 13n (Use symbolic notation and ...

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Q: Given 2 non-zero vectors ū and v, calculate (4ü +3v)•(2ũ – v) and express the final answer in terms ...

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Q: If h(x) = 5 – 4x", find h' (2). Use this to find the equation of the tangent line to the curve y poi...

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Q: dy The following problem involves an equation of the form dt = f(y). Sketch the graph of f(y) versus...

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Q: Given r"(t) = , r'(0) = and r(0) = . Find the k-component of r(2). Leave your answer correct to two...

A: We have to find k-component of r(2)

Q: For which values of x is the function below NOT continuous?

A: To find out the values of x at which the function is discontinuous.

Q: Find derivative: y = cot¬'( )+ tan-1 x³. [Simplify answer

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Q: Evaluate the definite integral. 13 dx 3 (1 + 2x)2

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Q: 7. An amount of $3,750.00 is deposited in a bank paying an annual interest rate of 4 % compounded mo...

A: We have to find the amount after given time.

Q: For the following items, consider the sequence {()"-}. 1. What are the first five terms of the seque...

A: We have to find 1st five point and draw the graph as well as the property of sequence

Q: V3 2 dy 1- у?

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Q: Find the slope-intercept form of the equation of the tangent line to the curve defined by x-2 3 fra)...

A: Equation of tangent line at the point (a,b) of the curve y=f(x) is f(x)-f(a)=f'(a)x-a

Q: Evaluate the indefinite integral. 30 V cot(x) csc2(x) dx

A: ∫cot(x)30csc2(x) dx-∫cot(x)30(-csc2(x)) dx-∫(cot(x))130(-csc2(x)) dx

Q: Find the area that is inside both r=1−sinθ and r=2+sinθ

A: Graph:

Q: If a rock is dropped from a helght of 185 ft, its poistion t seconds after it is dropped until it hi...

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Q: Compute the derivative of the function y = 5 sin-'(x) at the point x = (Use symbolic notation and fr...

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Q: 5. Find fx, fy, and fz given x®y? f(x, у, 2) z4 %3D

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

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Q: 6. Let T: R3 → R³ be defined by T((a, b, c)) = (a, a – b,b + c). Determine whether T is a linear tra...

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Q: 28. Evaluate eš dx and determine its particular antiderivative whose x-intercept is ln 3. 1 e3x – 3 ...

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Q: 4 SET UP AN INTEGIUL fonila fen SUifACE Arfer BounDED By Y=x-2y, x-C , Y=3, Auo x 20 CHEN ReTATowh A...

A: The integral for finding surface area of the solid obtained when the region rotated about y axis is ...

Q: 16. {(2,3), (-1,5), (2,6), (3,0)} is a function.

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Q: x³ + 3x dx. x2 + 1

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Q: Determine whether the alternating series converges. E(- 1)* 41n k k k=3 The series converges. O The ...

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Q: Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, or the ori...

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Q: Find the direction cosines of the vector v = (2, –4, 4) %3D

A: The given vector v→=2,-4,4

Q: The solution is x= Solve for x. (Simplify your answer. Type an exact answer, using radicals as neede...

A: Given query is to find the value of x.

Q: 33. CCSNT Зп + 2 n = 1 8

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Q: 1. 2x-9 13 Evaluate lim 1 x→-2 2x+8 4 Enter an exact answer.

A: We can find the limit as below.

Q: Ceate five questions on the following topic along with the correct answers that you would expect if...

A: We write the inverse of a function and inverse of a natural numbers in addition and multiplicative.

Q: Complete the table. Use the resulting solution points to sketch the graph of the equation. y =-2x + ...

A: NOTE: Refresh your page if you can't see any equations. . the given equation of a line is  now make...