Write a limit using summations that would equal n Answer: lim Σ N→∞ k=1 1 2 [ (²-5) dz. Submit A

Q: Find the indefinite integral on the domain of positive real numbers. Enter an exact answer. Remember…

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Q: Evaluate the definite integrale dr.

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Q: Given f(x) = x² + 4 and g(x)=√x-2. Find (fog) (x) and write the domain of (fog) (x) in interval…

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Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7.

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Q: x² yey lim(x,y)→(0,0) x4 + x + y²

A: To evaluate the following limit.limx, y→0, 0 x2yeyx4+x+y4

Q: Let P be the set of positive real numbers. One can show that the set P³ = {(x, y, z)|x, y, z € P}…

A: The objective of the question is determine the vector .

Q: • S X √x²-4 dx

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Q: For the function f(x,y) = 5x² + 6y², find f(x + h,y)-f(x,y) h 11 f(x + h,y)-f(x,y) h

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Q: (a) Consider the power series Show that B(x) converges for all x. B(x) = Σ n=0 (-1)η 2η 22n (n!) ²

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Q: A supermarket sells two brands of granola: brand A at $p per pound and brand B at $q per pound. The…

A: We have to find partial derivatives and new values of x and y .

Q: y = (In x)* xln x

A: Explanation of the answer is as follows

Q: Prove, using the definitions of tanh and sech in terms of the exponential function, that 1 − tanh2…

A: Substitute the exponential function of tanhx in the equation

Q: Maggie bought three cookies and a soda for $3. If Elisa bought two cookies and two sodas for $4,…

A: Let the cost of cookies be x and cost of sodas be y

Q: 3. a. Solve the differential equation y'= 2x√/1-y² b. Explain why the initial value problem y'=…

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Q: 7. For the following system of equations, find the values of x, y, and z using the matrix inversion…

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Q: Divide: 2ху x2y+3xy %. 4x+12 x2+6x+9

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Q: Which of the following represents a valid first step to solving this system of equations using the…

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Q: Find fxy(x,y) if f(x,y)= e 4xy². fxy(x,y)=

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

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Q: 2x²-3x + 10 dx (x²+4)2

A: The objective of the question is evaluate the indefinite integral.

Q: Find the exact average value fave of f(x) = √25 - x² between 0 and 5, then find an exact number c in…

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Q: [xt xtan xdx

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Q: Solve the differential equation (2x + y) dx - O a. 5x+10y + In |10x O b. O c. 5x O d. 5x (4x + 2y -…

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Q: Let R = {(0,1), (0,2), (1,1), (1,3), (2,2), (3,0)} Find R', the transitive closure of R

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Q: Q9. Find the value of the right side of Gauss divergence theorem for F = x²ī+ zī+ yz k over the cube…

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Q: S (2x² + 1) dx x3 - 3x +2

A: ∫2x2+1x3-3x+2dx This can be written as  ∫2(x2-1)x3-3x+2+3x3-3x+2dx=2∫(x2-1)x3-3x+2dx+3∫1x3-3x+2dx

Q: Evaluate the integral: Fa ○ x = 6 sin(0) ○ x = 36 tan(0) 28 x²√x² + 36 dx (A) Which trig…

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Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 4 8 16…

A: Topic = Sequence

Q: The regions A, B, C, D, and E in the figure below are bounded by the graph of the function f and the…

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Q: 5. The population, P, of an island, y years after colonization is given by the function P = a. What…

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Q: Which equation represents a valid first step to solving the following system of equations using the…

A: Given,           2x-2y=5 and -4x+5y=11To find : Solve using elimination method.

Q: Compute the given integral. fcos¹ a a sin ædx = +C

A: Our Aim is to evaluate the integral given below:-∫cos7 (x) sin (x) dx -(i)

Q: əz 7. Find the partial derivatives and if: əz əx ду (a) z = x-y r2 + 1² (x, y) = (0,0) = x² sin(x-y)…

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Q: Find the future value at 5.25% interest, compounded continuously for 5 years, of the continuous…

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Q: Find -(62). Type In(x) for the natural logarithm function. da

A: Topic = Derivative

Q: According to a state​ law, the maximum amount of a jury award that attorneys can receive is given…

A: Given data:- the maximum amount of a jury award that attorneys can receive is given below 40% of the…

Q: y = [x + (x + sin² x)³]4 I

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Q: The height, h metres, of an object thrown vertically upwards at time t seconds after its release is…

A: Given function represents height of the object at time t.

Q: lim 0 3x²+5 cos x- 2x -5

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Q: Factor the following expression: x^2 +9x + 8 (x + 1) (x + 8) (x - 1) (x - 8) (x - 1)…

A: Solution

Q: A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue…

A: we need to find out the partial derivatives of profit function with respect to x and y.

Q: Find the partial derivatives (f, and fy) of the below function and simplify your answe f(ru) = (ru)2…

A: Topic:- application of derivatives

Q: Perform an operation on the given system that eliminates the indicated variable. Write the new…

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Q: 1261 (2x+1 dz 4-3x -x² 1 (((x+) dx (3) 28 (2x-3 dx √(x²-1) (2x+3) 31 32 33 dx √(x²+1) (2x+1) alx…

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Q: The original quantity of a radioisotope was 100 mCi. How long will take to reduce to 75 mCi, if the…

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Q: Factor the following polynomial: 2x2 - 8x + 6 (2x + 3)(2x - 2) (2x + 3)(2x - 3) 2(x - 1)(x - 3)…

A: The given polynomial is 2x2-8x+6.

Q: Find the distance between point A(3, 4, 4) and the line of parametric equations x = -1-t, y = -t, z…

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Q: Find the absolute maximum and minimum, if either exists, for f(x)=x² - 6x + 6. Find the first…

A: We have to find absolute maxima and minima of given function.

Q: Consider the function f(x) = 10x¹0 + 3x7 - 8x4 - 2. An antiderivative of f(x) is F(x) = Ax" + Bx" +…

A: Given, f(x)=10x10+3x7-8x4-2

Q: Use basic identities to simplify sin³ x + x + cos²x sinx. Enclose arguments of functions in…

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