iven curves. y - x?, y - 2x - x? y

Q: (6) Shipping fees (or shipping charges) are often based on a formula that offers a lower charge per ...

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Q: Find the derivative of g(x)= using the limit definition

A: Solution:we have use formula g'x=limh→0gx+h-gxhgx=1x-1g'x=limh→0gx+h-gxhg'x=limh→01x+h-1-1x-1h=limh→...

Q: Find the coordinates of the centroid of the solid generated when region bounded by x2 + y? – 4y = 0 ...

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Q: 1 -dr. a In r| Find 3.

A: Let's find. 

Q: 4. Determine whether the scrics is absolutely convergent, conditionally convergent, or divergent. k ...

A: Here we have, ∑k=1∞-1kkk3+2=∑k=1∞-1kak 

Q: 25. If n + 0, then cot x csc" x dx = - cot" x А. - csc" x В. cscn+1x +C +C - cotn+1 x D. +C С. n +C ...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: We have to find distance. 

Q: Ssin (y)cos(y)/3+ sin° (y) + 5e" dy

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Q: 1. S dg =

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Q: 5. Which of the has a domain of (-0, +o)? a. f(x) =x b. f(x) = x? c. fx) =x d. f(x) =x* 6. Given the...

A: Use the basic property of function and composition of function. 

Q: Given y=(3x +6)| 2x- Find the value y' at x = 4

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Q: Find the exact value of sin 20, cos 20, and tan 20 using the double-angle formulas. cos 0 = 5 13 S <...

A: Given cosθ=513We know that sin2θ+cos2θ=1sin2θ=1-5132        =1-25169        =144169Sinθ=-1213 (As si...

Q: Three computers are chosen at random from 15 computers of which 5 are defective. Find the probabilit...

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

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Q: A +B + C +スt X (x+D (x+1)" (x+2)

A: Using partial decomposition method

Q: TASK: The derivative of the function x?y? = x2 + y² is equal to y(1-y²) x(x² -1) TRUE or FALSE? Prov...

A: Let's find. 

Q: 2. f (x) - 2x2 if メくQ 2- メ if x 2 2

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Q: In Exercises 17-22, iterated integrals are given that compute the area of a region R in the x-y plan...

A: We have to find as given above. 

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

A: We have to find the two unit vectors.

Q: Evaluate fv2 2) (2a? – 2?) dæ æ²) - -

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Q: x²-2x* 5. Integrate with respect to x x4

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Q: 8. A curve whose slope at any point is 6x² А. у %3D 2х3 — х? +х+6 - 2x + 1 passes through the point ...

A: We need to find equation of curve.

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: Find the most general antiderivative or indefinite integral. 8/x dx

A: We have to find the indefinite integral.

Q: Given g(x) ニ X-1

A: We know that, g'(x)=limh→0g(x+h)-g(x)hHere g(x)=1x-1Therefore g(x+h)=1x+h-1Thereforeg'(x)=limh→01x+h...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Evaluate the following integral. | e2* cos3x dx

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Q: Find the area of the parallelogram that has u = i – 2j +k and v = 3j + 2k as adjacent sides. NOTE: E...

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Q: 2+x, x<2 16-x, x22 21. Determine whether the function g(x) is continuous at x-2. a Continuous b. Dis...

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Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and pos...

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Q: Evaluate the definite integral by the limit definition. x dx

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Q: Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is. Round your answers to f...

A: Given that a=ci+j and b=3i+4jand angle between these vector isπ6Solution:

Q: x+2 8) Let f(x) = values of x at which the function is discontinuous. Determine the +x – 2 Determine...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: We know that vector equation of line passing through two points r¯=a¯+λ(b-a) Here a and b are positi...

Q: iven the ODE, solve: x(x + 4)*dy + [y(x+ 4)* – 3x*y³]dx = 0

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Q: ln(2y − 25e^x) = sinh4 (πx) − tan(y − 3).  Find dy/dx.

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Q: DO NOT include spaces in between 17 characters. * Compute m d (In (In y)) at y=e. dy Your answer

A: The objective is to compute the derivative at y=e.

Q: Let f(x) = /3r – 10. According to the definition, f'(r) = lim h0 (Enter the limit in reduced form)

A: f(x)=3x-10f'(x)=limh→0f(x+h)-f(x)h

Q: Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is. Round your answers to f...

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all tha...

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Q: Find the nine roots of -256 - j256√3 Give it's exact and approximate value And graph the roots in an...

A: Given expression is: -256-j2563. We have to find nine roots of the expression. 

Q: 3. y?dx + (x² + 3xy + 4y²)dy = 0; when x = 2,y = 1

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Q: Find the area of the triangle with vertices P(1,2, –3), Q(0,0 R(3, 5, 1). NOTE: Enter the exact answ...

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Q: Use the limit definition in finding/showing what is asked. 1. Find an equation of the line tangent t...

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Q: x+2 (8) Let f(x) = values of x at which the function is discontinuous. Determine the + x – 2 Determi...

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Q: Evaluate the double integral. (2x + y) dA, D = {(x, y) | 1 s y s 2, y – 1sx s 1} 328 3.

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Q: Let a be any positive real number. Then * 1 lim In a – 1 True False

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Q: - (2e'cos t) i+ (2e'sin t)j 7K Find T, N, and k for the space curve 7k.

A: Given,           The space curve is rt=2etcosti+2etsintj+7k.To find : Find, T, N and k for the given...

Q: For each of the following y, find the d^2y/dx^2

A: We know, d/dx (xn)= nxn-1, for any real number n. d/dx(u(x)v(x))= v(x)*d/dx(u(x))+u(x)*d/dx(v(x))

Q: Select ALL possible answers if there is more than one. * 1 16 Let f(x) =- ifx<- 2 . If f(x) is conti...

A: Let's find.