Find the equation of the parabola y = ax^2 + bx +c that passes through the points (-1,-4) (1,4), and (2,5)

Q: Given: Sum of the points of the ellipse from foci = 30 Foci: (2,1) (10,1) c = 4 a=? b=? Center: ...

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Q: Where:(25 degrees)

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Q: Find the derivative of the function. PLEASE HELP ME ANSWER WITH SOLUTIONS

A: ddv1-2v1+v3  

Q: Find of the function given implicitly: 6xy + 7e" = 7e . Evaluate the second derivative at the point ...

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Q: 9. Given the vector ū =[-2,3,–4] a) Draw the vector. b) Determine a unit vector collinear with ū. y

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Q: Given: C = 10 24° В a = 12 C Find the following item (nearest whole number and degree).

A: Find your answer below 

Q: Question

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Q: Given: C = 10 24° В a = 12 Find the following item (nearest whole number and degree). ZA = 102° 78° ...

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Q: hdefinite integral using integration by parts with the given choices of u and dv. X COs 8x dx u= x, ...

A: We will fill in the blanks with appropriate values. 

Q: Show that the function f(x) = 1 – I - x² is continuous on the interval [-1, 1].

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Q: A 3 X Y- X Y = 4xソーメニ2findr 3D2 and X"at X =1

A: Using definition of differentiation

Q: Evaluate using wallis formula and text/upload your solution on the space provided. 1.) sin'xcos'x dx...

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Q: Find the derivative of the function y = sin^-1 x/sqrt 1 + x^2 – tan^-1 x. %3D

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Q: (4) 3. Use implicit differentiation to find dy/dx of the following: x2 – 6xy + y3 = 24

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Q: Using appropriate substitution, the integral S e t3 dx is equal to:

A: ∫ex-3dx/x4 now substitute u = x-3 du/dx = -3/x4 dx = -x4du/3 ∫ -eudu/3 (-eu)/3 + c now put value of ...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+1 k7/6 k...

A: The given series is: ∑k=1∞(-1)k+1k76 Let, ak=(-1)k+1k76; k≥1

Q: Fill in the table with the correct information by referring to the function f below. The table conta...

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Q: The graph below shows the percentage of the parent atoms left vs. the number of half lives that have...

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Q: You are given the graph of a function f defined on the indicated Interval. Find the coordinates of t...

A: Absolute Maximum of a Graph: The absolute maximum of a given graph is the point on the entire graph ...

Q: The Differentiation to be made must be based on the following topics. - Power Rule Give 3 examples w...

A: It is required to give three examples with solution and final answer on differentiation using power ...

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 The chain rule: fgx'=f'gx·g'x   Given: I=∫5+5t3...

Q: XP If x=Y Vi-y!.find d

A: x =y1-y2 dy/dx = ? now derivate with x dx/dx = (dy/dx)1-y2 - (2y2/21-y2)(dy/dx) 1 = (dy/dx)(1-y2 - 2...

Q: Let the height of an object bef(t)=t2+2t−4f(t)=t2+2t−4. What is the instantaneous rate of change of...

A: Given query is to find instantaneous rate of change of the object at t = 2.

Q: S sin²4y cos15, 4ydy

A: I have stated the used formulas in the solution

Q: 2r (1- lim

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Q: The derivative of the function y = xe(5+sec(2x)) is: хе %3D

A: Explanation of the answer is as follows

Q: 1. Which of the following argument is an example of deductive reasoning? *   a. John got a perfect s...

A: As per bartleby guidelines we only give first three question answers. 

Q: find the nth Maclaurin polynomial for the function in sigma notation. 11 cos(Tx) po(x) : P1(x) : P2(...

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Q: Quotient Rule Differentiation Give 3 examples with a solution and final answer. Make sure it is uni...

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Q: 9. . cos xsin?x dx. 2 ,5 10. 2 sin°x dx 0,

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Q: Calculate the differential of the following function. Z = 2x³ex? + In(x+y²)

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Q: Use the shell method to set up a definite integral (set up only, do not evaluate the integral) for t...

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Q: A. True or False. Write T if the statement is TRUE, otherwise write F. 1. The function f(x) = discon...

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Q: What is the volume of the solid generated by revolving the shaded region about the line y = 3 y x = ...

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Q: (4) e. s = 8cos (4t2 + 9) ..determine s'(2) 1 (3) f. y = V(3-15x)3 (4) g. y = 4x (2x + 7)* 10021Test...

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Q: Find the radius of convergence and the interval of convergence. k(k + 5) k=1 Radius of convergence: ...

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Q: Fin d y' forsin X +Sin Y =A

A: Given query is to find the derivative of the expression.

Q: Use sigma notation to write the Taylor series about x 8 for the function. %3D 1 x+ 4 Σ

A: The given function is: f(x)=1x+4 To find the Taylor series about x=8 for the function. For that the ...

Q: Solve the following for dy/dx. Simplify fully. y = (9x?- 3)(4x + 3)2

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Q: Find the max amin, in flectlon foints and

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Q: 4. Given the function f(r) = 3 - 6.r+2, discuss its relative maximum and minimum points, the interva...

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Q: 8n5 + 3n Let an no +7 (a) Determine if the sequence an is convergent or divergent. O Convergent O Di...

A: Here, an=8n5+3nn5+7

Q: Discuss the continuity of f(x) = {Vx, x > 1 1, x<1 at x = 1.

A: A function f is said to be continuous at some point a if the value of the function at that point is ...

Q: 4) Find the interval of convergence for the power series Σ (-1)"-1п 2n n=1

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Q: ub

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Q: Fill in the table with the correct information by referring to the function f below. The table conta...

A: We will check at each point of interval to determine the continuity or discontinuity.

Q: A rocket is launched from the ground at an angle measuring 0.69 radians. The rocket travels in a str...

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Q: (-1)"3nx" n2 – 5 Determine the interval of convergence of n=1

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Q: The graph of f(z) is given by {-1.4) (1, 4) (-1, –2) (5,-2) (3,-4) (-4, 5) Determine if f is continu...

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