Find the minimum and maximum values of the function y = 1613 + 2412 on [1,2] by comparing values at the critical points and endpoints. Submit your answers as exact values. Do not round. Ymin = Ymax =

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A: Follow the procedure given below.

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A: The given differential equation is: y''+3y'+2y=x2 So, we can also write as; D2+3D+2y=x2 The…

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A: for radius of convergence of a series  we will calculatelimn→∞an+1an<1  for the series ∑an  and…

Q: Find the nth term of  (– 4 3 14 29 ) and (4, 5, 8, 13)

A: Sequence

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A: We have to solve given Questions.

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Q: y= fix) 16 01 16 32 48 64

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Q: 4) A is a set of m 2 1 positive integers. Show that exists a non-empty subset BCA such that the sum…

A: We are given that A is set of m positive integers where m≥1 . We have to show that there exists a…

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A: We will solve the integration.

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A: Area bounded by the curve y=x2 and the line y=2-x

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A: This question is based on indefinite integral.

Q: Write sigma notation. 5-25 + 125 - 625 +3125- 15625 The sigma notation is k = 1

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A: We know that equation of plane passing through the point (x1,y1,z1) and normal n=ai+bj+ck is…

Q: Evaluate the following .5 |x² – x – 6| dx -5 1.

A: First partition the domain for mod function then integrate accordingly

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Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

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Q: | 13t – 41° + 4 dt = +C.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Write the sum using sigma notation: A 7+ 10 + 13 + 16 + ...+ 49 = > B, where n=1 A B =

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Q: * What is order of the equation 2y" + 2y +3 = 0 Second order O Third order O First order O Zero…

A: Find the order of the differential equation 2y"+2y+3=0

Q: This matrix is a 0 0 4 0 [ 4 0 0 zero matrix square matrix diagional matrix unit matrix O

A: Given problem:-

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Q: The sum 5 x) dx + -1, fx) dx can be written as a single integral in the form f(x) dx Determine a and…

A: Given query is to find the single integral fir the expression.

Q: Evaluate the following limits for h(x) = { 1- 5z 120 (i) lim h(r) (ii) lim h(x) (ii) lim h(z)

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Q: Find the value of k so that the given function f is continuous at x=1,where [2+ kx x 1 c) 1 d) 12

A: The given function is: f(x)=2+kx, x≤15+3x, x>1

Q: Does the series E n+1 converge or diverge? n-1 Choose the correct answer below. O A. The nth-term…

A: Here we will check whether series is converges or diverges,

Q: ction is the linear model f(x)=−0.93x+158000 where x=annual tuition, and f(x)=average mid-career…

A: Given query is to find the slope and average salary for the given tution fee.

Q: There is a function                                                           f(x,y)=3√x3 + y.…

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Q: The solution of the differential equation below is dy = ky dx %3D

A: Given query is to find the solution of the differential equation.

Q: H.W. 1. Find the arc length of the curve x = (y + 2)/2 from y=0 to y=1

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Q: Q3. Given the complex numbers z1 = -V3 +i,z2 = 2-i,z3 = -V3- 3i and z4 = 4 + 4i %3D 3.1 Represent…

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Q: Se* tant e*dx

A: This question can be solved using the concept of indefinite integral.

Q: Solve for x 2 1792 -X+ 66,05x¯+- 25 3613 3 5x=0 25

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: * The solution of the differential equation below is dy = ky dx %3D x = eky y = ekx Option 2 O…

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Q: This equation is . .differential equation dy y2 dx ху Bernoulli O Separable O

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Q: Solve the integral using wallis formula.

A: This question is related to definite integration, we will solve it using given information.

Q: Compute the value of the following improper integral. If it converges, enter its value. Enter…

A: Solve the following

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Q: This equation is an example for linear equations dy y = = x²e* dx True False O +

A: Any differential equation of nth order is linear if it is of 1st degree and donot have product of…

Q: Cyndee wants to invest $50,000. Her financial planner advises her to invest in three types of a…

A: answer is in next step

Q: Find a cartesian equation for the curve r2 cos(20) = 4. Equation Use your answer above to identify…

A: Use the formula for conversion from polar to Cartesian coordinate.

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A: To find the da/dt

Q: x2 C. y=- ,2 х*+2х-15

A: c.) y=x2x2+2x-15Differentiating w.r.t xy'=x2+2x-152x -…

Q: 10u +4 /ũ Find the most general antiderivative of f(u)

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Q: Determine the Laplace transform of the following function f(x) = x2 1.

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Q: * This matrix is a -7 -5 11 7 -11 diagional matrix symmetric matrix An upper triangular matrix skew…

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