Problem #3: Consider the following matrix. A = d a b C f (a) Suppose that det(A) = −6. Let B be another 3×3 matrix (not given here) with det(B) = 7. Find the determinant of each of the following matrices. C = e ghi a + 4g g 5d b + 4h h c+4i i (b) D=3A-¹BT (c) E=-BA4 5e 5f

Q: 14. lim 818 (In x)² X

A: 14). limx→∞ln x2x

Q: Evaluate the integral. (Use C for the constant of integration.) [7t sin 7t sin²(t) dt

A: Explanation:-

Q: For the region bounded by the graphs of the equations, find the volume of the solid generated by…

A: The region bounded by y=sinx ,y=0,x=0,x=π Graph

Q: If a company has total costs C(x) = 24,000 + 45x + 0.3x² and total revenues given by R(x) = 425x -…

A: The total cost function is Cx = 24,000+45x+0.3x2 Total revenue function is Rx = 425x-0.7x2 To…

Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + + 3.5 5.7 7.9 9.11 (Use symbolic notation and…

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Q: (b) Use the function to find T(30,000). $ (c) Find the tax due on a taxable income of $120,000.

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Q: What is the approximate volume of the solid created when the region under the curve y = sint on the…

A: The solid created when the region under the curve :  y = sin(x) on the interval [0,π] is rotated…

Q: Let f(x, y, z) = 3x6y + 2xy + 4yz7. Find the requested iterated partials. (Use symbolic notation and…

A: f(x,y,z)=3x6y+2xy4+4yz7

Q: Find the 4 th Taylor polynomial of f (2) = Ti ( z ) - N s ( 2 ). If zg= 0 COS N

A: Solving the problem

Q: Problem 13 Find the solution of the initial value problem x' = Ar, with A- (₁₂2) and 2(0) = (-¹₁).

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Q: Find the equation of the line perpendicular to x = 3 through the point (-4, 7)

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Q: D D D D Which of the following shows the correct first step in proving the following by mathematical…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: Using row operations, find the inverse of this matrix. 1 -2 -61 [6] 01 5 001

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Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + 12² 24² 36² 48² (Use symbolic notation and…

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Q: 8 3 + 8 2 + 18 3 3 + 8 3 +. ...

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Q: Solve for (x, y, z): 2x-2y+z=10 x+y-4z = - 17 3x-y + 2z = 13 O (4, -2, 1) O (1, -2, 4) O (2, 4, -1)

A: We have,  2x-2y+z=10 , x + y - 4z = -17 , 3x - y +2z = 13

Q: Compute the integral f/4 tan² (x) dx . 1 1 6/2 15 3 |4 性 4

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Q: 9. A = (2, a 3) and B = (-1,-2) are - perpendicular each other, a=?

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Q: d'y dr² dy - 2x +2y=x²³, dx

A: compare this equation with  so here we have write the auxiliary equation for the homogeneous…

Q: Z O-14.8182 O-10.4091 -11.6250 O-12.6136 6 O-13.7159 10 -7 15 -11 f The function is continuous on…

A: Use formula of the area of trapezoid.

Q: What type of polar curve is the polar equation r = 3 - 3 sin (0)? rose O lemniscate limacon cardiod

A:

Q: Using the the derivative method power rule. How come the answer is 2t^-3? Instead of 2t^1?

A: Given: f=-1t2 We are required to find: The derivative of f

Q: Determine whether the improper integral diverges or converges. O converges O diverges dx Evaluate…

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Q: A house was valued at $120,000 in the year 1993. The value appreciated to $145,000 by the year 2001.…

A: We have, A house was valued at $120,000 in the year 1993. The value appreciated to $145,000 by the…

Q: If In(x + 3) = 3, then x O 3e3 0 e3-3 03e-3 00

A: Given, ln (x + 3) = 3

Q: Consider the function: Which of the following is a partial derivative of this function? x* - Bxy + z…

A: The given function is:f(x, y)=3xye8x2-8xy+12y2

Q: Determine and sketch the domain of the function f(x,y)=√xy.

A: f(x,y)=√(xy)

Q: Evaluate the integral. (Use C for the constant of integration.) 3 sin(t) dt cos³ (t)

A: NOTE: Refresh your page if you can't see any equations. . ......................(1)

Q: Part 4 Use the table function of a graphing utility to create a table for the function and use the…

A: Given :- (4) limx→1x-1x2+2x-3               (5) limx→-32x2+4x+1

Q: Use the substitution z = 6 tant, -≤t≤to simplify the following integral: dz 36 +22 Note that you may…

A: By using the substitution x=6 tan t, -π2≤t≤π2 to simplify the  following integral. ∫136+x2 dx

Q: Determine whether the improper integral diverges or converges. 3 √x(x + 5) 1.0⁰ dx

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Q: Let f (x, y) = e(5x-6y). Find the equation for the tangent plane to the graph of f at the point (1,…

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Q: 3. Evaluate: 5x² - dx {2 Decimal places} Type. U = S

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Q: Evaluate 8 5 3 √√3x+1 - dx

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Q: 2. For each problem, find the length of the curve. (a) y = (e+ e-*) on the closed interval 0 ≤ x ≤…

A: Solving the problem

Q: 10

A: total derivative of function z = f(x, y) is given as dh(x,y)=∂h∂xdx+∂h∂ydy

Q: 10. lim 1-0 e³1 - 1 t

A: We have to find the limit: limt→0e3t-1t

Q: 6. Suppose that a. 6 b. 2 a b - 3c = 0 → → and a c= 2. What is a C. -6 d. -2 → b equal to?

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Q: 2. (By partial fractions} Answer: In |x|- 1 x+1 +C ·x² + 3x + 1 x(x + 1)² dx

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Q: əz Find when u = 0, v = 2, if z = sin (xy) + x sin (y), x = 3u² + v², and y = 2uv. du

A: Use chain rules

Q: 24) Madaurin 4th order of f(x) = sinh(sinx)

A:

Q: 1) Consider two planes, y - 3z = 1 and 2x + 2y - 5z = -6. a. Find the line of intersection of the…

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Q: 5. Prove that xdx a b²_a² 2

A: According to guidelines we are supposed to do first question only. Kindly repost the other question.

Q: 6) Use the Binomial Expansion Theorem to determine the sixth term in the expansion of (x + 3y)8

A: The nth term in the binomial expansion of (x + y)n is given by Tr+1=nCrxn-ryr

Q: 3. y=√√2x (x²-2), y'=?

A: We have to find the derivatives.

Q: 4. Evaluate √xe-²x² d

A: ∫xe-2x2dx

Q: c) Compute the fastest total time Nadia takes to the bus stop if Alania walks side walk first then…

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Q: ne Map you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you lies…

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Q: Determine whether the graph in the figure is the graph of a function. 29. YA X

A: We have to check whether graph is a graph of a function or not.

Q: What is the equation of the square root function in the graph? y = y 10

A: NOTE: Refresh your page if you can't see any equations. . the square root function is in the form…