what is the equation of this picewise function? 1000 8.0 40 2 10 -8 4-2 468 10 -2 -10 6. 4,

Q: Secondary Topic 3. Approximate a dx with six intervals and the trapezoid rule.

A: To approximate the below integral using Trapezoidal rule with six intervals. ∫−24x2dx

Q: which of followimg soflances converye gnd which dir erye ern h-2htl

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Q: 1 + 3-1 V3+1 = q +3 V3 %3D

A: P=5, q=2

Q: for all integers a, b, and c, if a divides b and a divides c, then a divides (b2-c2). prove this…

A: Introduction: Divisibility is the base of number theory. For two integers a and b, if there exists…

Q: Consider the function f(z) = z' + 5z2 - 14z. . Enter the factors and the roots separated by a comma.…

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Q: True or False: since C(n, r) = C(n, n - r), then the number of ways to choose 5 out of 18…

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Q: 31) Find the shaded Area A between two curves ftop(x) = 6 – x2 and gbot(x) = 2, over [0, 2] as shown…

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

Q: Major Topic 4. (a) Use the erplicit definition of a Taylor series to compute the third-order…

A: The Taylor series centered at x = a is given by the below formula. fx=∑n=0∞fnan!x−an

Q: 5. Compute the 1st and 2nd degree Taylor polynomials L(r, y) and Q(r, y) for f(r, y) = In(r² + y?)…

A: 5 Given function is fx,y=lnx2+y2. We have to find the 1st and 2nd degree Taylor polynomial Lx,y and…

Q: 1. Use a Chain rule to find aw aw and if w = x?, = sin(r²s) ar as

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Q: Question 25 Solve the problem. Write parametric equations for the tangent line to the curve of…

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Q: Question 8 ('. Write a full, formal prose proof by induction for the statements below. Vn E Z†n! =…

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Q: For the next three questions, consider what integer values of a, b and c would satisfy the following…

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Q: 3. Armaan claims that the functions f(x) = 32x + 5 and g(x) = 32* + 8 have different instantaneous…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: -5 Secondary Topic 4. Compute 1 dr

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Q: Find the root of the function f(x) = ln(x2) – 0.7 using bisection and false position methods. Use…

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Q: Solve the following IVP: (2et у" — 25у %3D to 0) y(0) = 0, if 0 4 y'(0) = -1. Letes SUNITT STED…

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Q: Use the graph of Ax)=4" to estimate the value of log, 27. 50 40 + 30 + 20 10 + -5 4 -3 -2 -ho 1 4.…

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Q: Question 7 1. Write an expression equal to log;(6) using only base-2 logarithms (i.e. log;). 2.…

A: (1) log5(6) = log2(6)/log2(5)  (2) log7(5) + log7(6) = log7(5x6) = log7(30)  (3) log3(20) =…

Q: n + n² 2.

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Q: Let's assume that we have the following system of linear equations Ax = b where 5 3 2. A = 3 7 -2 -3…

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Q: 4 and for n > 3, an 2an-1 + an-2 + 5n, express an in terms of n %3D 2. Let, a1 = 3, a2

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Q: Perform the indicated matrix calculation. 1.4 3 2.2 0.6 - 1 0.1 + -8 0 0.7 0.5 1 0.8

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Q: Suppose n is an integer. Prove that if n is even, then n²+3n+5 is odd.

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Q: 1.1 Find the interval of convergence for the binomial expansion of V(x? +2-x) (i.e. the values of x…

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Q: ) ور شم( موم 2 4-x 2 2 4-x 2 x++y¯+z° e - dz dy dx -2

A: To evaluate the below integral. ∫−22∫04−x2∫04−x2−y2e−x2+y2+z23/2dz dy dx

Q: х + 2х, 3x, = 5 -2х, — 3х, + 6х, —D —7 Зх, + бх, : -7 Зх, + 6х, — 7х, %3D15 -

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Q: For the graph of y = f(x) shown to the right, find the absolute minimum and the absolute maximum…

A: The absolute maximum of a function on an interval is the greatest possible value where the function…

Q: Evaluate the integral below by interpreting y=f(x) it in terms of areas in the figure. A1 The areas…

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Q: 7. Interchange the rows of the system of linear equations in Exercise 9 to obtain a system with a…

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Q: (a) The plane y+ =9 intersects the cylinder x+y- 25 in an ellipse, Find parametric equations for the…

A: Given that the plane y+z=9 intersect the cylinder x2+y2=25 in an ellipse.

Q: Use a Maclaurin series derived in class to obtain the Maclaurin series for the given function:…

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Q: Find a ba for the sapede (a) Span (b) Span. (a) Select the correct choice below and, if necessary,…

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Q: Which of the following is the negation of the sentence " If it is cold, then it snows"?

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Q: Q2. a) Find the 5th derivative of xʻsin4x (hint: it is simplest to use Liebnitz's theorem)

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 6. Phosperium-1980 has a half-life and after 40 hours, the sample has decayed toof its original 256…

A: To write the equation to model the radioactive decay.

Q: Find the volume V generated by rotated the

A: 32.  Given the curve                           f(x)=3xln3  over 1, 3

Q: Given the differential equation y'' – 3y' + 3y = 0, y(0) – 1, y'(0) = 1 | Apply the Laplace…

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Q: Exercises O Determine whether the following systems are Cansistent or not. a) 5X +2y = 1 b) X, + X2…

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Q: 5) B = [(1, 2, 0)T, (1, 1, 1)T, (1, 0, 0T)] is an ordered basis for 3. a) Find [v]B, the coordinates…

A: A change of basis consists of converting every assertion expressed in terms of coordinates relative…

Q: 22 Find the PA = LU factorizations (and check them) for [o 1 1 A =10 1 2 3 [1 and A = 2 4

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Q: 3(x-1) - 8 = 4(1+x) +5 27

A: We want to solve the given expression.

Q: Given the following graph of a single variable function y = f(x), answer the following questions:…

A: Given,Graph of single-variable function, y=f(x) To find: a) Equation of given function…

Q: Let P(n) be the statement that a postage of n cents can be formed using just 3-cent stamps and…

A: (a) Consider k where 8≤k≤n where n≤10.

Q: Prove the following statements using weak induction: (a) E1 fi = fn+2 – 1, where f is the Fibonacci…

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Q: The concentration C of a drug in a patient's bloodstream t hours after injection is given by () C =…

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Q: Given the differential equation y'' + 5y' – 5y = - 4 sin(4t), y(0) = 2, y'(0) = 0 Apply the Laplace…

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Q: Problem 2 Woods products Ltd. currently produces two major products, tables and chairs. When sold,…

A: We will construct a linear programming problem according to the given informations and will solve it…

Q: Suppose that fit) is a solution of the differential equation y' = ty -2 and the graph of ft) passes…

A: Slope of f(t) at any point will be same at value of y' at that point. Here finding f is not…

Q: The astroid curve below is defined by the parametric equations x(t)=2 cos' t, y(t)= 2 sin’t. Compute…

A: To determine the area bounded by the given parametric curve.