For the matrix A = -3 0 5 O 9 2. -6 0 what is the value of |A|?

Q: Evaluate the integral -fo I= (1 + 2x) da

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Q: 1. Find the solution of the given integrals by using substitution rules. (a) [[sin(2x)]³ dx (b) f(2x…

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Q: Q45. If P = {1,3,4,5,7,9,10,12}, Q = {2,4,5,6,9,11,12,14,15} then 2xn((PxQ)XQ) n((PxQ)n(QxP)) (a)…

A: P=1,3,4,5,7,9,10,12,Q=2,4,5,6,9,11,12,14,15

Q: 25. Find the inverse g of f(x) = √√x² + 9 with domain x ≥ 0 and calculate g'(x) in two ways: using…

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Q: Exponential Decay Given that a quantity Q(t) exhibiting exponential decay is described by the…

A: To find out the decay constant, and initial amount, and to complete the table of values.

Q: Evaluate xy dx + (x+y)dy along the curve y=x² from (-2,4) to (1,1). с

A: Expression I=∫cxydx+(x+y)dy Along the curve, y=x2 From (-2,4) to (1,1)

Q: Let f = (x²-3)(u(x-7) - u(x-10)), where u is the Heaviside function. Compute f(-8)= f(7) = f(9) =…

A: Given: f(x)=(x2-3)u(x-7)-u(x-10)whereu is the Heaviside function. We are required to find:…

Q: Use synthetic division to divide 213-1²-21x+4 Use the paperclip button below to attach files. *…

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Q: Perform the indicated operation and write the answer in the form of a +bi. (5+3)-7i O -7+81 O-2+3i O…

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Q: A)    Solve for x  lnx + ln (x-4) = ln21 B)    Change to base 10 log520 C) Expand Completely  log…

A: We are going to use these basic log formulas. Log(xy) = Logx + LogyLog (x/y) = Logx - Logy Logab =…

Q: Hello, I ran into an issue with the relative maximum. It is showing that it is incorrect, can you…

A: We have to find the relative maximum.

Q: Consider the limit. 4 O O lim N→∞0 N N-1 Σ j=0 Describe the area represented by the limit. The limit…

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Q: -6-5-- 6 6+ 5 3 2- -2- -3- The graph above is a transformation of the function ² Write an equation…

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Q: If f(2)= 0, f(-1) = 0, and f(x) = x-x³-x2-x-2, use the Factor Theorem and synthetic division to…

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Q: Bank Failures In the wake of the 2008 financial crisis, bank failures started spiraling upward. The…

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Q: Evaluate the line integral [V. dr for the following function and oriented curve C (a) using a…

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Q: Let {an} be a sequence defined by a = 1, a₁ = 4 and 20 There is a solution is of the form: an lan-1…

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Q: Question 7 (1 point) Solve the equation log(x)+log(x+15)-2=0

A: logx+log(x+15)-2=0

Q: You wants to enclose a rectangular field with two internal partitions as shown. If the area of the…

A: To find out the length and width that will minimize the fencing.

Q: 1 For what value of x does the function f(x) = x³ - 4x attain the absolute maximum in the interval…

A: Using the first and second derivative test we are going to find the absolute maxima.

Q: 11. Suppose water is flowing into a tank where the base of the tank is a octagon with side length x,…

A: a) The domain of the volume of the water as a function of the height of the water is the set of all…

Q: Use the table of values to evaluate the expressions below. f(x) g(x) 9 7 2 1 6 x 0 1 2 3 45678 9…

A: Find the value of the given expressions. (a) f(g(3)) (b) g(f(9)) (c) f(f(4)) (d) g(g(7))

Q: -3 6-2x 5. f 2 dy dx 6. -2y 2²²(x² + y²) dx dy

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Q: Find the indefinite integral. Check your work by differentiation. S5x 5x(3-x) dx 5x(3 - x) dx =

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Q: Evaluate c (xy + y +z) ds along the curve r(t) = 2ti + tj + (9 − 2t)k, 0 ≤t≤ 1. Sc (xy + y +z) ds =…

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Q: Solve the following equations for exactness, then solve:  1. [2xy cos(x2) - 2xy + 1] dx + [sin(x2)…

A: The given differential equation is:2xy cosx2-2xy+1 dx+sinx2-x2 dy=0

Q: The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the…

A: To apply the eigenvalue method to find the general solution of the system:…

Q: 41. Let f(x) = x" and g(x) = x¹/n. Compute g'(x) using Theorem 2 and check your answer using the…

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Q: esin x dx

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Q: dy Solve the differential equation dx x 36y a. Find an implicit solution and put your answer in the…

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Q: -1,0 -1 1,0

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Q: The velocity of a particle moving along the x-axis is given by v (t) = et-1-1. Which of the…

A: vt =et-1 -1

Q: Find the centroid of the region. NOTE: Enter the exact answers. (x, y) = (?, ?) Y y=x6 1 x

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Q: Suppose the rectangular coordinates are (-1,-√3). Find two sets of polar coordinates for the point…

A: Rectangular coordinates -1,-3 To find Two sets of polar coordinates

Q: Consider the function f(x) = 2x + 2x-1. For this function there are four important intervals: ( − ∞,…

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Q: Which of the following complex numbers is a pure imaginary number? 7 O O √5 6-2/ O√-3

A: a)7=real b) 6-2i=Real + imaginary

Q: Which (if any) of the following differential equations are linear first order equations? dy A: +x²y…

A: dydx+x2y=3 dydx+xy2=3 d2ydx2+x2y=3

Q: A B C D 2/3 43 Let R be the region in the first quadrant bounded by the graphs of x = y² and x = 2y,…

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Q: Find the curl of the vector field F = (2y cos(x), 4x sin(y)) curl F= =

A: F¯=<2ycos(x),4xsin(y)>

Q: 8. Evaluate the triple integral of xyz dz dy dx for the following limits: z from 0 to y, y from 0 o…

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Q: Use Cramer's Rule to solve each system. Show your matrix equation 3x + 2y = -26 5x - 3y = -18

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Q: 8. State the intervals over which f(x) = x¹ + x³-2x² +4 is concave up or concave down and find any…

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Q: cruc 2. A rectangle is inscribed in the area bounded by x-axis and the graph of y = 12-² with one…

A: We use second derivative test and critical points to get the maximum area.

Q: Q26. Order and degree of the differential equation (3) (²2) is? < dx² ex = In (a) order= 4, degree=…

A: To find out the order and degree of the given differential equation.

Q: Use the Comparison Tests for Convergence or Divergence to determine whether the series converges or…

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Q: what is the volume of the solid lying below the surface z = 1 + x + y and above the region in the…

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Q: Newton's Law of Cooling The temperature of a cup of coffee t min after it is poured is given by the…

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Q: Compute the volume of the solid bounded by the graph z = x² + y, the rectangle R = [0, 1] × [1, 5],…

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Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

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Q: 3. Let f be a function of two variables defined as xy f(x,y) /x² + y² - (a) Find the domain of the…

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