Problem 2. Do both part a. and part b. Find the maximum or minimum value of the quadratic function f(x)=-x² +3x-1. a. V2x+3 b. Find the domain of f(x)= х-1 Leave your answer in interval notation.

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A: This is a problem related to matrix. We will find out square of the matrix and then calculate f(A) m...

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A: Note: The normal line is defined as the line that is perpendicular to the tangent line at the point ...

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Q: Prove that the given equation is a solution to the given DE: 1. = C,e3* + C2e2x + C3e* ; y" – 6y" + ...

A: As you have asked for the solution of Question 3-5 only. So I am solving those only. Hope it helps y...

Q: 2. Show your solution. The sample space that describes all three-child families according to the gen...

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Q: The function f(x, y) : 1+2? +y? is 1-x2 -y? discontinuous at the points {(x, y)\æ² + y² # 1}. True F...

A: f(x,y)=(1+x^2+y^2)/(1-x^2-y^2)

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Q: Given: (25(x)dx e-x3 There is a function f (x) such that when u = -x³, the resulting integral is f 2...

A: Let's find. 

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

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Q: FIII in the yellow box to complete the truth table of "p v (q →r) V q->r "p v (q →r) r 5.

A: Concepts:   ~ p is oppostite of p.p=T then, ~p =Fp=F then, ~p =T   Implication Truth table:   Disju...

Q: Evaluate the following differential equations by method of variable separable. Show your solution. 1...

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Q: dx The integral S reduces to S k, where u = f(x) and for some constant k . Compute f(1). ex+1

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Q: What is the value of 1/2 x(3 cos(x) + sin(x))dx ? -7/2 Give your answer as an integer or as a decima...

A: Topic:- integration

Q: The integral / 2/ ) cos(2*) dr takes the form & cosu du when u=2* and f (x) =x-5, What is the value ...

A: Firstly We have to solve the integration, then compare to given form and find k. Then We get K+2.

Q: Evaluate ft da 22-r-6 O a. 4ln r 3+ In r+2 +C O b. 4ln r+3- In a+2|+C c. 4ln a-3- In r+2 +C O d. 4ln...

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

A: Let length of one piece be x, then the length of the other piece will be 48−x.

Q: Solve the system of linear equations given below. -11х1 + 13х2 — 15хз + 25х4 %3D 101 -19x1 + 33x2 + ...

A: Here is the solution

Q: Find the indefinite integral. J. x cos 107Tx2 dx

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Q: what is the range of h(x,y)=ln(x+y-5)

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

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Q: What is the slope of the TANGENT LINE to the given curve 1 y = x + at point where x.= -2

A: Slope of tangent is    m=dydxdydx=1-1x2

Q: 4. Fond theequation ofthe tangent line to the graph of the Function FCx)=R-JX at the point (1,0).

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Q: (2x +)x dx | (28 + 4x5 + 4x²)? sing u-substitution and transformation of the integrand, then the p c...

A: We will solve the integration using substitution. 

Q: I. Solve each of the following by forming exact differentials. 4. (2x° + 2xy – xy)dx- (x+ 2x²y+ y° )...

A: We have to solve  (2x3+2xy2-xy)dx - (x+2x2y+y3) dy = 0       ... 1 By forming exact differentials.  ...

Q: Use any method to determine whether the series converge. 1 (a) E k=1 k' + 12k + 1 This series conver...

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Q: Given: S 5x² cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f (*):- ... 5/7 5/...

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Q: Solve the initial value problem: dy/dx= (5x^4)(y^4) ; y(0)= 1/2

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Q: Consider the integral 2n* g(x) dx . There is a function g(x) such that when u = In x the resulting i...

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Q: 12. Evaluate ((1– cos x) dx a.) 1- sin x +C b.)x - cos x +C c.) 1- cos x+C d.) x- sin x+C 13. Evalua...

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Q: n exponential function y= f(). (2,8.64) Preview 1.2

A: We know that,Exponential function is of form y=abt. and here by using graph it is clear that , graph...

Q: Eliminate the parameter to find a Cartesian equation of the curve, for - くtく æ(t) = 4 tan? t y(t) = ...

A: Given

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: The given series is: ∑k=0∞56k+3=563+564+565+566+... which is a geometric series with the first term ...

Q: Evaluate the integral J x cot x² sin(in |sin x²l) dx.

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A: This question is based on ratio test.

Q: Consider dx and using u-substitution in rewriting the integrand as a function of u and du . x(1+vx) ...

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Q: What is the value of 7/2 x(3 cos(x) + sin(x))dx ? 7/2 Give your answer as an integer or as a decimal...

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Q: B= 4 7 8. A= 2. Find 1-Matrix C. 3B 2- Matrix D - AB inNN

A: Given A=352252 and B=204768C=3B=3*204768               C=[6012211824]

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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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: 2 tan(4x-1)-3 cos² (4x-1) If we let u = 4x – 1 for the dx, what will be the resulting integrand? cos...

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Q: landscaping

A: We will find a linear equation. 

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Q: Suppose that f(z) is an entire function and there exists aceR s.t. Re(f(2)) < c for all z. Show that...

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Q: 2. A diameter of a circle has endpoints A(0, 4) and B(0, -2). Find its equation in standard form.

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other...

Q: 0. Refer to Problem 19: How fast is the circumference of a circular ripple changing when the radius ...

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Q: Determine whether the following sequence is convergent or divergent. Justify your answer. {1+u^ = w^...

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Q: Let J ex+1 S dx be given . If u = e* + 1, then the resulting integral is S f(u) du. Compute f(3).

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Q: Solve the following differential equation y = - 3x²sec²(-x² - y) Select one: Oa. +C O b.(-x-y)- sec°...

A: In this question we have to solve the differential equation.

Q: cot 2x J Vcot 2x – 15

A: Given,           ∫cot2xcot22x-15dx

Q: Determine f(x) so that cos(In x) f(x) dx = sin(In²x) + C

A: Option B