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Q: ) If the matrix A= [4 2 1; 1 5 9; 3 8 7], find: · A' - A(3,1) - size(A) - A(:,2)= [] Inv(A)

A: Since, you have posted a question with multiple sub-parts, as per company policy we will solve first…

Q: Let y=e¯*(Acos(x) + Bsin(x)) be the solution of the initial value problem for the differential…

A: As 'y' is the solution of the differential equation , so it satisfied the given initial conditions.

Q: (dz) dt If (z=x. y), where x = cos (t) and y = sin (t) Q3. Use the chain rule method to find

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Q: Determine whether the following equations are linear, separable, Bernoulli, or nonlinear homogenous.…

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Q: Evaluate each limit, if it exists: a)lim ²-4 X-2

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Q: The function h(x) defined as: f(x)= = 1 x + 7 can be expressed in the form f(g(x)) where g(x) = x +…

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Q: igeonhole Principle Show that in any set of 41 consecutive integers there is exactly one divisible…

A: Pigeonhole Principle   (1) Show that in any set of 41 consecutive integers there is exactly one…

Q: Find the Range of 1/√x³+8

A: We can find the Range of the function .

Q: If f(x) ƒ'(x) = = Cos = ƒ'(2): = 2 tan , then

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Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

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Q: 3.) (t+z)dt - (z - t)dz = 0

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Q: Evaluate the integrals S 1 x2-7x+10 dx

A: As per the company rules we are supposed to answer only the first question and rest other can be…

Q: 10. 2/3 5² √4-9x² dx

A: As per our guidelines we are suppose to answer only one question, kindly rest can be reposted.…

Q: Determine the degree of the differential equation: 3/2 d²y 2/3 (3x² 1²7 2 + 4xy) ¹² = ( 2y³ (²Y -…

A: The degree of the differential equation is defined as the power to which the highest order…

Q: 1. f(x) = 4x² -5x

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Q: 5t Find the equation of the tangents to the curve y = sin x at x = 0, л, and . Graph the curve over…

A: Please see the below picture for detailed solution.

Q: 1. S. dx 1 2 x² e² ex

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Q: dr de r= (7 + sec 0) sin 0 Find dr de ||

A: See this solution in below.

Q: 1

A: Given At=te-kt

Q: Suppose that f(5)=1,f'(5)=7,g(5)= -8, and g'(5) = 4 Find the following values. (a) (fg)'(5) (b)…

A: Suppose that f(5)=1,f'(5)=7,g(5)= -8, and g'(5) = 4 Find the following values.   (a) (fg)'(5)   (b)…

Q: Find the antiderivative F(x) that satisfies the given condition. dF dx = -5ex - 4x; F(0) : = -9

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Q: sec² (In x) cos(lnx) x S dx

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Q: Find the equation of a plane that is perpendicular to the vector 57- 2j+ kand passing through the…

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Q: 1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁ = 3 and x₂ = 5.…

A: For the function y=5x3-4xa To determine the avarage rate of change between x1=3 and x2=5.b To…

Q: dz Find where z = 3x²y³,x = t¹ and y = t² dt

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Q: Write an equation of the line containing the given point and parallel to the given line. Express…

A: Let's find new equation of line.

Q: 8. Each of the following points is given in rectangulr (x, y, z), cylindrical (r,0, z) or spherical…

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Q: 1.) dy dx 2x-y² 1+2yx = 0

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Q: Example 4: a) Find the inverse of the function f(x) = 2(x + 4) - 6 b) How would your answer to a)…

A: I am attaching image so that you understand each and every step.

Q: = Find two unit vectors orthogonal to both u = (3, -3, - 4) and 7 values (no decimals). Separate the…

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Q: Find the length of the curve x = П √√4 sec²t-1 dt, on-sys 6 The length of the curve x = A y A П =√√4…

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Q: Approximate | b sintax) dx bs c√x 0 using the first four terms of the series if a = 5, b = 11, c =…

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Q: -8-521-7-2 ²1₁-7-2 3-25 95-16 + 8+65 45249

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Q: y' + y² sin x = 0 Ans: y + cos x = c

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Q: Express the domain for each function using inequality notatation. Enter "DNE" for the empty set and…

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Q: Find the arc length of the curve below on the given interval by integrating with respect to x. 3 =…

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Q: 3) Consider the following functions: a) f(x,y)=xy. b) f(x,y)=x²y² c) f(x,y)=lnx+lny

A: As per our guidelines we are allowed to solve only 3 subparts.   Given a) fx,y=xy b) fx,y=x2y2 c)…

Q: 4. A. Find the parametric and Cartesian equations of the line connecting the points A (1, 2, -1) and…

A: Given two points are A(1,2,-1)   and B(-1,0,1). The cartesian equation of a line passing through two…

Q: PROBLEM S. Cousi peR Tue FOLLOWia Ĝ Sequence: X,-32 FOR aLle PROve TuaT m71, 1. aLL COmpuTe THe…

A: The given sequence is:xn+1=xn-xn5-325xn4 ,x0=12. It is to prove that xm≥2 ,where m≥1.

Q: 1. 2x - 1 2x - 3 X x+1 2x + 1 2x² - x - 3 = 0

A: We can solve the given equation by using the cross multiplication method.

Q: Let f(x) = x² - 64 x - 8 Complete the table below. Round all table values to four decimal places, if…

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Q: Evaluate lim √9x² − 5x + 1 + 3x 3x). X118

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Q: X x + 5 Give exact answers (not decimal approximations). Let f(x) = Find the values of where f'(x) =…

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Q: The interval(s) on which f is decreasing is/are (Type your answer in interval notation. Use a comma…

A: To find the intervals on which f is increasing:

Q: Q3. Use the chain rule method to find dt If (z=x. y), where x = cos (t) and y=sin (t)

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Q: 20605 divided by 5

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Q: 3. For the curve y = x³ + 2x² + 4,Solve the equation of the normal line at point (-3,-5)

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Q: A geometric sequence has 6th term 8 times its 3rd term. The sum of 7th term and 8th term is 192.…

A: The nth term in a geometric sequence is an=arn-1 Here, a is the first term and r is the common…

Q: For any given base, what does 100 represent? a) The base squared -1 b) The base squared c) The base…

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Q: Let f(x,y)=√√9-x²-3y² State the domain off and sketch it in the x-y plane. The domain must be…

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