2. Given the matrix A below, Solve for A-¹ A = 12 1 2 1 -1 2432 4] 365 487 - -3 4

Q: 44. Find f(x) if f(x) = 1/(2 - x).

A:

Q: 32 Question * (3 Points) The proper transformation for sin²x to make the f sin²x dx readily…

A: substitution

Q: C. Find the angle coterminous to the given angle that has the opposite sign. бл 1. - 7 2.-258°

A:

Q: Analysis of daily output of a factory shows that, on average, the number of units per hour y…

A:

Q: The equation of a surface in cylindrical coordinates (r, 0, z) is z = r²cos(20). The equation of the…

A: Cylindrical Coordinates :       x= r cosθ  , y= r sinθ , z=z

Q: The population of a city is 125,000. If the population is declining by 3% per year, what will the…

A:

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: Height is given by f(t)f(t)=-16t2+420t+6t =11.5

Q: The linearization of the function f (x, y, z) = x³z² + xy2 + 3y - 10 at the point (-1, 1, 2) is…

A: L(x,y,z)=f(a,b,c)+fx(a,b,c)(x-a) +fy(a,b,c) (y-b) +fz(a,b,c)(z-c).

Q: Let f(x) = 25 x The slope of the tangent line to the graph of f(x) at the point (–6, – 25) is The…

A: All the answers are given below

Q: 7) Relative to an origin O, the position vectors of the points A and B are given by OA P (-) and OB=…

A:

Q: 5, i, Evaluate the first and second derivatives of the function z=2x4+3x3+2x-5 when x = 4.

A:

Q: Solve the system using Cramer's Rule. - x + 2y = - 5 4x + 5y = 32 Find the determinant D…

A: D=-1245D=-1(5)-2(4)=-5-8D=-13Dx=-52-325Dx=-5(5)-2(-32)Dx=-25+64Dx=39Dy=-1-54-32Dy=(-1)(-32)-(-5)(4)D…

Q: 5. Evaluate the integral, if it exists. a. L₂(x¹ - 3x¹/3 + 1) dx b. √₁³ (2ex - ²) dx

A:

Q: 4x+10 1. S (x-2)(x-1)² dx

A: Given integral ∫4x+10(x-2)2(x-1)2  dx

Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m − n)] dx…

A: Let's find.

Q: ZzJm 3. Use integral test to determine whether the series 4. Use an appropriate test to determine…

A: 3. ∑n=1∞e-n2n4. ∑n=1∞n2n+1!n! 22n

Q: Consider the following. Let u = 4x³ - 1. Find du. du = dx Indicate how the limits of integration…

A: The given definite integral,          ∫01x24x3-14dx

Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m - n)] dx A…

A:

Q: Solve f(x) Sin e* (12 intervals) Using Trapezoidal Rule(Numerical Methods) ['re f(x) dx

A: Solve the following

Q: Question Consider the function f(x) below. Over what open interval(s) is the function increasing and…

A:

Q: Calculate the work expended when a particle is moved from 0 = (0,0) to Q = (4,4) along the segments…

A: Solved below

Q: State the inputs and outputs for arcsin (also stated as sin¹). Explain why the angles for this…

A:

Q: 0 3. Evaluate the definite integrals: (a) CS Scanned with CamScanner² (x² – 3x) dx (b) 5 1 √I -d.x

A:

Q: ·SS v₂ Vx (2yi) •n do where S is the hemisphere x² + y² + z² = 9, z≥ 0. Use the normal vectors…

A:

Q: A triangle has sides represented by the vectors (2, 1) and (3, 4). Determine the length of the third…

A:

Q: Consider the vectors. (5, -8), (-4,1) (a) Find the dot product of the two vectors. -28 (b) Find the…

A: Given problem:- Consider the vectors.   <5, -8>, <-4,1>   (a) Find the dot product of…

Q: Find the average value fave of f(x) = f(c) = fave. fave = C = between 1 and 1, then find a number c…

A:

Q: construction company will be panalized each day of delay in construction for bridge. The penalty…

A: Given the query is to find the maximum possivle days for delaying.

Q: Evaluate the definite integral. 18t (elst i+e¹j+t k)dt S (¹²¹ ₁+ (e-1) i-(¹-1) j+k els 1 - (e¯¹ − 1)…

A: Follow next step

Q: The eigenvalues of the matrix 139 - 84 240 145 (a) Find an eigenvector corresponding to X₁ = 1 X1 =…

A:

Q: Find the Taylor series for f centered at 9 if f(n) (9) = (-1)^n! 2^(n + 1) n = 0 What is the radius…

A:

Q: Find the y- coordinate of the Centroid of the planar region described by x² + y² ≤ 9π², y ≥ 0. Enter…

A:

Q: Find the indefinite integral. a. fsecy (tany - sec y )dy b. f(x²-9)(2x)dx

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 3 1 = lim t+oo 8t² +9' 5t, (?, ?)

A:

Q: Consider the function of that is continuous on the interval [-5, 5] and for which ſo f(x) dx = 4.…

A:

Q: Solve for dy/dx and simplify the result y = (5x + 2)6 (3x² +7)7

A: As per our guidelines we can only solve one question and rest of the question will be reposted.

Q: Find J²w дх ду дz if w — ехух = 0.

A:

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: A)P(x)=R(x)-C(x)       =5x -(0.003x2+1.4x+60)P(x)=3.6x-0.003 x2-60b)R(50)=5(50)…

Q: Question 1 Differentiate: arcsin Oy/x 01 O x/y O (E) None of these 0 0 (# )+ + arccos (²-) = 1

A: Differentiation

Q: 304² 3x Evaluate dx dy, by first Reversing the order of integrals. √36 + x3 Enter an integer or a…

A:

Q: d Calculate [r₁(t) · r₂(t)] and [r₁(t) × r2(t)] first by differentiating the product directly and…

A: Given    differentiate

Q: Find the future value of a $20, 000 annual income stream if it is invested immediately as it is…

A: Hee, use the formula: FV=erM∫0MS(t) e-rt dt

Q: Evaluate the following: 1) S x² √1 + x dx

A:

Q: If f(x)=3+3x−5x^2 find f′ (-3).

A: Solution: f(x)=3+3x−5x2

Q: Find the Taylor series generated by fat x = a. 1 f(x)=, a=9

A:

Q: 5. By the Fundamental Theorem of Calculus (Newton-Leibnitz Theorem) √² + x² d VX evaluate

A:

Q: A loaf of bread can be modeled by a rectangular prism topped with half a right. cylinder. Katherine…

A: A loaf of bread can be modeled by a rectangular prism topped with half a right cylinder. Katherine…

Q: Question 1: Find the Laplace transform of the given functions by using the table of Laplace…

A:

Q: Find all zeroes of f(x) = 4x² - A) --/1/201 B) 1 3x² - x. Check all that apply.

A: f(x)=4x4-3x2-xZeros:4x4-3x2-x=0x4x3-3x-1=0x4x3-4x2+4x2-4x+x-1=0x(4x2(x-1)+4x(x-1)+1(x-1))=0x(x-1)(4x…

Q: Find the orthogonal trajectories of the family of curves x² - y² = (² A x² + y²=C² B) xy=C (C) x-y=C…

A: We can solve as follows