Use the given information to find A. A-1 [$3 4 5 5 12 NOTE: Write the elements of the matrix exactly. A = ? ? ? ? =

Q: 2. Which integral gives the area of the region in the first quadrant bounded by the graphs of y2 = x…

A:

Q: Determine the cardinality of each of the following sets. a. A x B, where A = {a, b, c, d, e}, B…

A: a) A=a,b,c,d,e, B=xb) a,b,cc) d) Φ,Φ,Φ,a,

Q: - 3)² = 81 then, find its ce or a=<3, -1

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Q: 15. Which of the following is equivalent to the triple integral dz dydx in the order dydzdx? 32 31…

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Q: Q2: (A) Show that if y=csc(u), then dy -csc(u) cot(u) du dx

A: I have stated the used formula in the solution

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: Let's solve.

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A:

Q: Determine the arc length of the curve formed by the polar equation r = 4 cos 0 - 4. 2T 2п 2√/2 √1 -…

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Q: A poster of area 6000 cm² has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

A: A poster of area 6000 cm2 has blank margins of 10cm wide on top and bottom and 6cm wide on the…

Q: Consider the triple integral JJJ (x+y+z)dV E where E is the solid enclosed by the cylinder x² + y² =…

A: Let's solve A and B part.

Q: 0 - [1 4 Find the determinant of A = = 1 2 03 -3 8 - using a cofactor expansion.

A: We have to find out determinants

Q: A poster of area 6000 cm² has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

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Q: Find all values of k, if any, that satisfy the equation. Enter the exact answer(s). 4 0 [22 k 40 = 0…

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Q: Evaluate the following integral: * *π/2 [sin² 6 1/42 4 O - (2/63) O - (3/28) O 2/63 sin x cos³ x

A: The objective of the question is evaluate the definite integral and choose the correct option.

Q: 1. A 13-ft ladder is leaning against a house when its base is being pushed towards the wall. By the…

A:

Q: Find the direction cosines of the vector (4,-8,-8) 8 8 O cosa = 4 12 cosß cosy= 12 12 8 cosa = √12…

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Q: (c) an = (-1)". 2n n!

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Q: noon and 2 pm the population triples, at what time should the population become 100 times what it…

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Q: 5. A function u(x, y) is defined by u2³-3xy². (a) Show that u is harmonic, i.e. it satisfies…

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Q: 2 n (2k + n)2 k=2

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Fill in the blanks. (Enter the domain in interval notation.) Function Alternative Notation Domain y…

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Q: 4 3 2 1 -4 -3 -2 -1 2 3 5 -1 -2- -3- -4- 10. From the above graph of y = f(x), find all r-value(s)…

A: Explanation of the answer is as follows

Q: 921) Which of the following is an odd function A) cos xsin x 11 sec.x C). DUNK DOOV

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Q: Find the derivative of the following functions by using the limit definition of the derivative.…

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Q: 022) Find the range for the function f(x)=2+3√4-x A(-0,2] Cos r 023) lim- A) DI 2x-z C) 0 TIN Di 1

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Q: 5. By considering the derivative of the function f : [-1,-1] → R defined by f(x) = show that f-¹…

A: Concept: inverse function: An inverse function, sometimes known as an anti function, is a function…

Q: y" - y' - y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: Given :y''-y'-y=cos5t-sin5ty(0)=2 and y'(0)=5

Q: For the function 3, ²8a+21, 2x f(x) = 7, 0 < x < 4 x = 4 4 <a

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Q: f(-7 sinx + 3cosx)dx 4

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Q: Find the dimensions of a rectangle with area 2,197 m2 whose perimeter is as small as possible. (If…

A: Let's find Dimension of rectangle.

Q: y = 1 x=y² B A (0,0) y=x² C (1, 1) X=1 X

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Q: -2, if x < -1 f(x) = (x + 1, if x ≥ −1

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Q: The acceleration of an object (in m/s²) is given by the function a(t) = 6 sin(t). The initial…

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Q: dy -2x² + 5y5 + ey = 0. Compute in terms of x and y. dx Let y(x) be defined implicitly by G(x, y(x))…

A: We have to find derivative

Q: PART I. Calculating First Order Partial Derivatives 1. f(x, y) = 2x² - 3y - 4 3. f(x, y) = (x² -…

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Q: find the volume of the solid obtained by rotating the region bounded by  y=2x+6, y=0, x=1, x=2 and…

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Q: find the given differential solution, using homogeneous equations with constant coefficients.…

A: Solution: The objective is to find the general solution of the given homogeneous differential…

Q: Determine the antiderivatives of the following functions: 4. f(3x² +1)4 x dx 5. s dx

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Q: The function A(x) = 0.001x³ -0.02x² +0.12x+0.03 approximates the blood alcohol concentration in a…

A: This question can be solved using the concept of increasing and decreasing function.

Q: What is the 100th term of the sequence –3, 2, 7, 12, ...?

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Q: 3x · Se³ª sec e³ª tan e³ dx

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Q: 4. Letf(x)=x22/5 - 19x². Determine the largest n for which fis n-times continuously differentiable.

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Q: 3 *+ 3 2- 1 نها 1 2 3 To find the blue shaded area above, we would calculate: [ f(x) de f(x) dx =…

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Q: seconds after the start of the movement. (B) Use Tabular integration to evaluate the following: -…

A: Let's evaluate given integral by using tabular method.

Q: The answer was correct but I don't understand, how you got the number 2 on the last line. G'(5) = 2…

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Q: 2. Find the value of 1 3x + 13 x² + 4x +3 dx

A: We can you valve the given definite integral by using the partial fraction method.

Q: dy (A) Show that if y=csc(u), then =-csc(u) cot(u) dx

A:

Q: Find the volume of a pyramid with height 19 and rectangular base with dimensions 4 and 11 using…

A: Let's find volume by integration.

Q: Consider the function f(x)=2 sin (4(x-3)) +6. State the amplitude A, period P, and midline. State…

A: Given:       fx= 2 sinπ4x-3+6

Q: For the function f(x,y)= x + 4y 3 4 x +y find f, fy, f(5,-5), and f,(1,3).

A: For the function fx, y=x2+4y3x3+y4, to find fx, fy, fx5, -5, and fy1, 3.