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Q: Let 3z - 4x2 for z <0 3z2 + 3z forI20 | f(z) = { %3D ccording to the definition of the derivative, t...

A: Topic  =Limits

Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x – x³ + Iny) dy = 0, when x = 0, y = e %3D

A: Note: According to our expert guidelines only one individual question is to be answered, kindly repo...

Q: graph of f(x) =÷ at the point ( 1,-). %3D

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Q: Evaluate the iterated integrals  ∫1 0  ∫1 0 dxdy

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

Q: 1. Revenue is calculated by multiplying the price of an item by the quantity sold: Revenue = Price •...

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Q: Evaluate the integral. (Use C for the constant of integration.) (x^2-25)^1/2/x^3 dx

A: To find:-  ∫ √(x2-25)/x3 dx

Q: using the function given below evaluate the following

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Q: S( z +1) e2² dz

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Q: b) y = 1 - v 1 + v2 -82 dv dy = 1+v

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Q: Consider the following function. y3D - 2x + 2 (a) Find y' = f'(x). (b) Find the critical values. (En...

A: ANSWER: As per guidelines we can do only first three subparts , the solution is given below : 

Q: Sketch the graph and find the area bounded by the curves for y = 2x² and y = x² + 4

A: Given query is to find the area bounded by the curves.

Q: Determine whether the integral is convergent or divergent. The integral from 0 to 11, 1/(11-x)^1/3 d...

A: The given integral is  ∫011 1(11-x)13dx  

Q: nt) Let f(z) be the function 6z2 – f(5+h)–f(5) 5z + 9. Then the quotient can be simplified to ah + b...

A: f(x)=6x2-5x+9then f(5+h)=6(5+h)2-5(5+h)+9                      =6(52+h2+10h)-25-5h+9                ...

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

Q: Find all the values of x such that the given series would converge. n=1 Vn +8 Answer: Note: Give you...

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Q: Extension Question 2: What would happen if there was a cubic function inside the logarithm? Explair ...

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Q: Find the point (x,y), at which the graph of y = 6x + 6x - 5 has a horizontal tangent. 2 The function...

A: Topic = Derivative

Q: Use implicit differentiation to find y' and then evaluate y' at (-2,1). x In y + 6y = 3x ] y'l(-2.1)...

A: This question is related to differetiation. solve in step 2

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Se...

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Q: Find equations of the tangent plane and normal line to the surface z + 19 = xe cos z at the point (1...

A: We have to find tangent plane equation and normal line.

Q: Consider the power series n°x8n 43046721" Find the center and radius of convergence R. If it is infi...

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Q: (х — 2)(х + 2)(г+ 1) (г + 3)(ӕ + 1)

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Q: 3. Use the given acceleration function to find the velocity and position functions, and then find th...

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Q: 3. lim f(x) = -2, lim, f(x) = 2 and f(2) = 0 4. lim f(x) = +0, g, f(x) = -0

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Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... =

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Q: Determine the sum of the measures of the interior angles of the indicated polygon. Quadrilateral ......

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Q: 1.80 Find an open cover of the interval (-1, 1) that has no finite subcover. Justify your claims. 1....

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Q: Suppose that lim (x,y)→(3,1) f(x,y) = 6. What can you say about the value of f (3,1)? What if f is c...

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Q: Calculate the limit or show it is nonexistent. ry²e lim (r,y)→(0,0) x² + 4y4

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Q: ven the side length b = 9 and the angle B = 43° on the triangle below, find the lengths of a and c a...

A: Given query is to find the value of a,c and A.

Q: Determine whether the integral is convergent or divergent. The integral from -2 to 14, 7/(x+2)^1/4 d...

A: integration ∫-2147x+214dx

Q: Find lim_f(x), if it exists. If it does not exist, explain why. X--4"

A: Follow the procedure given below.

Q: For the area bounded by the curves y^2 = 2x and y^2 = -x +6 Determine the area enclosed by the curve...

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Q: x-7x3+101 g(x) = ズー1

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Q: Find the missing values assuming continuously compounded interest. (Round your answers to two decima...

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Q: The three series An, EBn, and ECn have terms 1 1 An 1 Cn = Bn n10 n Use the Limit Comparison Test to...

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Q: Find the linear approximation L(x) of the function g(x) = V1+ x at a = 0. L(x) = Use it to approxima...

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Q: Find frxx and fryx for f(x, y) = xty² – x³y.

A: We will find the partial derivatives. 

Q: 35-40 Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the ...

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Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

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Q: dy (8y – 2²y) + x – xy² = 0

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Q: 35-40 Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the ...

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Q: A cylindrical tank with radius 6 m is being filled with water at a rate of 2 m3/min. How fast is the...

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Q: Find the particular solution of the differential equation that satisfies the initial condition. (Ent...

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Q: 13 dk

A: Given :      ∫e73k-13   dk

Q: Find the length of the parabola given by c(t) = (t, 1) for 0 < 1 < 5. Hint: Use the formula / VI+i' ...

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Q: Solve. 2 In x= -8 ... Select the correct choice below and, if necessary, fill in the answer box to c...

A: I am attaching image so that you understand each and every step.

Q: How do I simplify (9-sin(x))(4-3cos(x))-(9cos(x))(3sin(x))

A: Given that: (9-sinx)(4-3cosx)-(9cosx)(3sinx)

Q: Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that...

A: This question is related to cone and rate of change, we will solve it using given information given ...