Pre-Calculus  :  if x=2x=2 is a solution to the equation x^3-4x^2-31x+70 = 0x3−4x2−31x+70=0, find the other solutions.

Q: Find the absolute maximum and absolute minimum values of z€

A: This question can be solved using the concept of absolute maximum and absolute minimum.

Q: 2/11 √#/3. cos³y siny dy 16

A: To determine whether the given statement is correct or not.

Q: Problem 6: Given the function f(x) = 3x² + 2x - 10, then (a) find the derivative function f'(1) by…

A: In this question, we want to find the differentiation of function at x=1 , equation of the tangent…

Q: ii. Given g(x) = √x²+5 if x<-2 3-3x if x2-2

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Q: the differential equation. (2x² + 3y²-7)x dx - (3x² + 2y²-8)y dy = 0

A: We have to solve the given differential equation.

Q: 1 Q2: Evaluate fo y² (x² + y²) dx dy

A: Given :∫01∫01-y2y2x2+y2dxdy

Q: ㅗ I SINA + C cos ²³x cot x dx = In (sinx) - 2

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Q: f cos todo : 2 sin 10 + C

A: Given: ∫cos12θdθ

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: Given :∑k=1∞k!k6

Q: Let f'(x) = ax²+bx+c. Determine the values for a, b, and c so that f(x) has a local maximum at x =…

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Q: Express the repeating decimal as a fraction. 3.717171...

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Q: Consider the following differential equation. y dx - 5(x + y) dy = 0 dx Find the coefficient…

A: Given a differential equation

Q: Eliminate the arbitrary constants of the following. Simplify your answers.  9. y = e^2x (c1cosx +…

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Q: Find values of a, b, and c such that the graph of the polynomial p (x) = ax²+bx+c passes through the…

A: p(x) = ax2+bx+c passes through point (1,7) , (-1,13) and (2,7). So, Form three equation using, p(1)…

Q: 0 3 = cos's do Sin f

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Q: integration function -1 ₁ 2²√x+¹(xy + 1)dydx 817718418 20 20 40 20 not of above - A - B - C - D

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Q: Give a limit expression that describes the left end behavior of the function. 2+7x+8x² f(x) = Select…

A: We can solve this as follows:

Q: Which of the following is a relative maximum of f? 1/5 5/6 A. (²2) ¹ c. - (²²) ³ √3 B. 0 D. 2 Which…

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Q: Find the equation of the line that satisfies the given conditions. (a) Write the equation in…

A: Here, given that x-intercept is (1,0) and slope is 3.

Q: An object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

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Q: d dx sin(t) dt

A: We have to find derivative

Q: and the given initial conditions. y(-1) = 9, y'(-1) = -9

A: Given problem:- In this problem, y = c1 ex +c2 e-x is a two-parameter family of solutions of the…

Q: Find the limit: lim (z,y) → (3,3) 4x4 - 4y4 x² - y²

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Q: Let Find M13 and C13. M13= i C13= i A = 8-2 3 9 0 0 -2 -9 7 5 -2 -9 3 7 1 -8

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Q: Find the limits in a) through c) below for the function f(x) = 2 X-X-42 Use X-7 a) Select the…

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Q: 6) Find The derivative of yo

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Q: 1 √√1-y² Q2: Evaluate fo y²(x² + y²)dx dy

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Q: Find : dw/dk @=2 α - sin m καὶ 2

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Q: 1. 5 Let the function s(t)- 111 x² + 10x + 15 represent the motion of a toy car as it travels near a…

A: Note: Since, the student has mentioned a typing error in the function and want to replace the x's…

Q: A - a non-linear differential equatio n of the sixth degree. B - a linear differential equation of…

A: given differential is non linear because coshy term included

Q: 4. [App/10] fo the relation f(x) == x² - 2x determine f¹(x), graph both f(x) & f¹(x) and state the…

A: Solution

Q: Seatwork I eliminate the antitrany constants of the following. simplify your answers. En close your…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Obtain the differential equation of the family of circles of fixed radius r with center on the…

A: We have to obtain the differential equation of the family of circles of fixed radius r with center…

Q: 3. Let f'(x)=(x-10)(x+2)2(x-1)(x+7). For what values of x is fx) increasing? 0-110 0-9 8 None of…

A: Explanation of the answer is as follows

Q: Problem 6. Find the equation of the tangent line to the curve x²y-ay² = -6 when z = 2.

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Q: 2) evaluate the indefinite integral £x² 9+X² dx

A: We have to find solutions

Q: Eliminate the arbitrary constants of the following. Simplify your answers.  4. y = c1x^2 + c2x^3

A: Given problem:- Eliminate the arbitrary constants of the following. Simplify your answers.    4. y =…

Q: 2. y (0) = Find the solution to the differential equation below satisfying the condition -2. x…

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Q: Find the differentiation of tan 4√√x 1-4x

A: This is a problem of differentiation. Based on the general formula and concept we will answer the…

Q: √ √3x + 4 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: ex dx √e*(1 + √e*)

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Q: Find the area between f(x)=x²-12 and the x-axis from x = 0 and x = 3. The area is square units.

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

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Q: Q2/ Find the Fourier series to represent the function f(x) given by: -1 for 0-1 f(x) = 0 for +1 for…

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Q: Find f'(x) and approximate (to four decimal places) the value(s) of x where the graph of f has a…

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Q: Complete the explanation of how to map one triangle onto the other. 8 in. 4 in. 4 in. 7 in. and then…

A: We need to choose correct option.

Q: @ evaluate the indefinite integral fxº ex* dx

A: Given problem:- ∫ x8 ex^9 dx

Q: A new product has just come onto the market and is a big hit. The success, however, does not last…

A: This question can be solved using the concept of maxima and minima.

Q: 43. f(x)=x³-9x² +15x+4

A: Given problem:- Sketch the function and Ensure you are finding everything you can about the function…