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Q: 1 5) Let A= 1 -1 0 0 -1 2 3 -6 a) Find A-¹. b) Find det(A), that is, the determinant of A.

A: (a)  A-1=1Aadj(A)where  A=determinant if Agiven  A=1-1010-1-623

Q: Differentiate the function. g'(t) = g(t) = ln(8 + tº)

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Q: Use implicit differentiation to find sin(x²)+cos (y²) = 1 Possible Answers: dy dr dy dr = dy…

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Q: Integrate using u-substitution or 2 guys in Jail. fx sin(2x²) dx 5. (4x³-2)7 (24x²)dx

A: (4)   I=∫xsin(2x2)dx∫sinxdx=-cosx+cdxndx=nxn-1

Q: Differentiate the function. f'(x) = f(x) = sin(7 In(x))

A: Given,           fx=sin7 lnxTo find : Differentiate the function.

Q: (b) Given the graph of f (x) below (blue), select the correct graph of the transformation y = 2f (x)…

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Q: All of the functions below are invertible, except for one of them. Find the function that is not an…

A: a function is invertible only if each input has a unique output.

Q: 2. Find y' using implicit differentiation where x² + 4y² = 4

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Q: Which of the following represents the series? −13 + (−7) + (−1) + 5 + 11      b    c    d

A: given  series is  -13+(-7)+(-1)+5+11first term is   -13

Q: solve: y" - Hý + 4y = 40st; y(0)=2₁ y(0)=5 using Laplace transform

A: y''-4y'+4y=4cos 2t Taking Laplace transform on both…

Q: An equation of an ellipse is given. ²+12²=1 (a) Find the vertices, foci, and eccentricity of the…

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Q: Suppose that f'(x) = e for x < 0, and f'(x) = x + 1 for x ≥ 0. Find fƒ(1) - f(-1). Round your answer…

A: we will find the required.

Q: ← dy (a) Show that y* +x-6=0 is an implicit solution to dx Part 5 of 6 1 on the interval (-∞,6). 4y…

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Q: Given the following equation of a circle in general form, find the equation in standard form by…

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Q: The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but…

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Q: Given the absolute function graphed below, find the following: a) Domain: -12 Decreasing: 6 5 4 7 2…

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Q: Prove that for any positive integer n, 4 evenly divides 32 -1.

A: Let's prove that 4 evenly divides 3^(2n) - 1.

Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function y = k.xpy = 1πx

Q: Write a polynomial with degree 4 that has a zero at x = -1- i√2, and a zero at x = -6 with a…

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Q: 3. Find the maximum value of f(x, y, z) = x + y − z subject to the constraint x² + y² + x² = 6.

A: Solve the following

Q: Determine whether the matrix is invertible. 85-8 -7 0 O No Yes NN

A: A matrix A is invertible if the determinant of A is not equal to zero.

Q: Find dy/dx by implicit differentiation. 7x²y + 4y²x = -1 dy/dx =

A: Given query is to find derivative.

Q: 3. Write 2.734234 = 2.734234234... as an improper fraction.

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Q: d (sec-¹(2)) is equal to O O 1 2 √√4-1 1 In 2√4-1 O 1 √4¹-1 In 2 √4-1 In 2 2√4-1

A: Solution: ddxsec-1(2x) Apply the chain rule : df(u)dx=dfdu·dudx f=sec-1(u), u=2x =ddusec-1(u)ddx(2x)

Q: Find an equation of the tangent plane to the given surface at the specified point. Z= In(x - 2y),…

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Q: Differentiate the function. V'(t) = V(t) = t-3/5 + +t²

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Q: In the figure, the regions A, B, C and D bounded by the x-axis and the graph of f have the following…

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Q: tan x - sin x x³ 2) Evaluate i) lim- x->0 In(10¹6x+777) et ii) lim- 848

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Q: If y is inversely proportional to x, and y = 9 when x = 6, write a formula for y in terms of x. Use…

A: Given y is inversly proportional to x let k = proportionality constant

Q: Evaluate the integral 0 L 6x (x²+1)³/2 dx.

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Q: The average cost per item to produce q items is given by a(g) 0.01g²-0.6q+17, for q>0. What is the…

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Q: Differentiate the function. 1 g'(x) ॥ g(x) 1 2x 2 = = VX + X 1 5.( ) *

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Q: Consider the following function: f (x) = x4− 18x2 + 6 Enter the x-values of any local minima,…

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Q: Simplify the trigonometric expression.   1 + tan(A) sec(A)  Step 1 Write tan(A) in terms of sine and…

A: Given query is to simplify the expression.

Q: Consider the following functions. f(x) = x², g(x)=√x-7 Find (fog)(x).

A: Given,            fx=x2 , gx=x-7

Q: 12 C 10 B A 2 F G H D E

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Q: Q lan for the conic based Yon: Ellipse with major verti #) and a focus point at (9,4_ = sketch and…

A: SOLUTION: Given  that  an ellipse has major vertices at (-5,4),(11,4) And focus at (9,4) Now we have…

Q: If f(x) = In x where x > 0, what is In r 2 1 2√ ln x O 1 2x ln x 1 2x 1 d (f (√)). ? dx

A: Given: fx=lnx To find: dfxdx Now, first we need to find fx fx=lnx ⇒fx=lnxy2 ⇒fx=12lnx

Q: Given the absolute function graphed below, find the following: -3 -12 a) Domain: b) Range: 6…

A: Answering the first three subparts of the question,

Q: 7. Find the area of the portion of the plane that is inside the triangle with vertices (0,0,4), (8,…

A: See this solution in below.

Q: Use the summation formulas to rewrite the expression O O 4 8 71 72 6 8 6 S I I I + n 8 4 72 8 S…

A: 12+22+...+n2 = n(n+1)(2n+1)6. 1+2+...+n = n(n+1)2

Q: Find the partial fraction decomposition of 5 2 x²+x-6

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Q: Given f(x) = 13x³ + 18x² - 4x + 22

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Q: 5) Find the divergence of (√x² + y² + z² 5) kî + yî yj + zk)

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Q: 13. The function has the 1st derivative given by f'(x) = -x(x+3)(x - 1)²(x+4)³. What are the x…

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Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x² - xy lim (x,y) → (9,9) √x √4

A: The given limit function is lim(x,y)→(9,9)x2-xyx-y  We have to find the limit value .

Q: ) Inverse Laplace transform of 2S-5 2 + is s²+16 S3 f(t) = 2cos(4t)-5sin(4t)+t² F(s) =

A: NOTE: Refresh your page if you can't see any equations. . take inverse Laplace

Q: Evaluate each of the following expressions using the given table of values. 3 4 5 7 6 5 3 4 7 6 5 5…

A: we need to find out the values of the composite functions.

Q: The system of differential equations dx = 0.5x -0.002x2 -0.001xy dt dy dt = 0.6y-0.001y2 - 0.006xy…

A: Solution: dxdt=0.5x-0.002x2-0.001xydydt=0.6y-0.001y2-0.006xy

Q: Solve the problem. [1 The columns of 13 = 0 0 O Suppose that T is a linear transformation from R³…

A: NOTE: Refresh your page if you can't see any equations. . here we have . so vector v1, v2, and v3…