5. Given the matrices below, find B. A 2 1 2000000 A = 3 4 0000000 B = [5 -3 0]

Q: II. Solve the following problems. Enclose final answer. 4 4. Given z = Find az/ax x+y "

A:

Q: Find x/2 x-3 lim 148 x+1 O limit does not exist e^-2 Oe^-4 0-2 O-4 O Other:

A:

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A:

Q: Numerical Integration: 1 √x 1. 0 dx

A: We can find the solution of the definite integral as below.

Q: er each integral is improper. If it is improper, give your jus

A:

Q: PRACTICE Q7. Consider the series Σ(−1)n-1 (x + 1)" n-0 nb2n where b is a given non-zero constant.…

A:

Q: The interval notation for the set (xlx ≤4 or x>-2} is. [-2,4] A O (-2,4] BO R .CO DO [-2,4) EO…

A:

Q: 12. Find the standard form of the equation of the hyperbola with the given characteristics.…

A: Given problem:- Find the standard form of the equation of the hyperbola with the given…

Q: 1. Find the limī lim In(sin x) X→π-

A:

Q: ]Find the x-intercept of the curve that passes through the point (0,2) and whose slope at (x,y) is…

A:

Q: ӘТ ӘР V

A:

Q: NT2093E Form a differential equation representing the family of curves 4 a (b + 2y); a, b being…

A: We have to form a differential equation representing the family of curves  3x2 = 4a(b + 2y)  a , b…

Q: Find Laplace -3+ 2 [t². 2³+. Sincat) e -

A: See the details solution in below

Q: zze Find of z = In(xy) a²y

A: Topic:-  application of derivatives

Q: 3. The Critical Point of y = xe-*

A: Answer :-  We have to find the critical point of y = xe-x

Q: 5. S Evaluate the integral, if it exists. du √u - 2u² u

A: We have to find the solutions

Q: 3.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: apply Pythagoras

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Application of integration

Q: Find the volume of the solid obtained by rotating the region bounded by the given curve about the…

A:

Q: Find the interval of convergence for the given power series. Use interval notation, with exact…

A: We have to find the interval of convergence.

Q: S₁ dx J2x (J2x +9)

A: To solve the given integral.

Q: Which of the following is the formula for the length of the arc, L, of the curve y = f(x) such that…

A: The answer is given below:

Q: Sketch the region enclosed by the following curve and find its area. x = y^4, y =√2 − x, y = 0

A:

Q: Find the values of p for which each integral converges. 2 80 dx dx b. x(In x)P x(In x)P GELEH 2 dx…

A:

Q: it was estimated that constructing a fence for a project could be done by 11 workers in 15 days. at…

A: Let 'n' be the number of workers. Let 'd' be the number of days required Let WT be the work done…

Q: 4. Determine the area of the region enclosed by y = sinx, y = cosx, x= π/2, and the y-axis.

A:

Q: II. Solve the following problems. Enclose final answer. 3 3. The Critical Point of y = xe-*

A: The critical points can be obtained by letting its first derivative equal to zero.…

Q: (√t-9) dt

A:

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t)= -…

A: Given query is to find the height when velocity is 100ft/sec.

Q: 32 Remove parentheses and simplify: [4(x + 3) - 4x] -4(x + 3) 4x A O -2x BO 2co -4x-Da

A: Let's simplify.

Q: So .x² dx (2x²+2x+1)²

A:

Q: 2e^xdx-3e^ydy=0   Find y(x) and f(x,y)

A: Follow the procedure given below.

Q: find given f (x, y) = eª + 2xy² – 4y at (0, 3) af dy'

A:

Q: Q9. The Laplace transform of the function u: [0, ∞o) → R (t−2)² + (t− 2) sin(5(t-2)), u(t): can be…

A:

Q: Q.3) Evaluate the following dx 1) [ x² + 10x + 30 T 2) [²√³x² 3) ² ² 1/2 dx xy y sin x dx dy dx dy

A:

Q: General solution of = dx tan²(x + y)

A:

Q: DSX 2 X sec /x dx 3

A:

Q: (3x² + 5x-2) dx

A:

Q: 1. The Maximum point of y = (x²+2x+10) (x-3)

A: Find out the maximum point.

Q: وم .dx I+ V !+ v x

A: Solve

Q: Let f(x) = x² - 6x. (A) Find the slope of the secant line joining (1, f(1)) and (9, ƒ(9)). Slope of…

A:

Q: What is the average rate of change of y with respect to over the interval [-1, 2] for the function y…

A:

Q: Assume that y is a differentiable function of x such that y^2 = x^2 + 4xsecy. Find

A:

Q: The general solution of y" - y = x²ex + 5

A: To find the general solution of y''-y=x2ex+5.

Q: 5. Given z = arctan (), Find az/ay

A: We can find the partial derivative wrt y as below.

Q: ven A = - -4 1 -3 0 -5 2 and 1 B = -2 4 2 1 4 find 2B - 3A 3

A: Given query is to find the Indicated matrix.

Q: Question 2 Given a differential equation as d²y dy 2². - -3x- +3y=0. dx² dx By using substitution of…

A: Let's solve diffrential equation by using substitution x=e^t  or t=ln(x).

Q: cx+ln x Determine the equation of the tangent line to the graph of f(x) = [" = cosh (√2t - 1) dt at…

A:

Q: The Intermediate Value Theorem can be used to prove that the equation z² - 5x+6=0 has at least one…

A: Given :x2-5x+6=0

Q: 18 The value of f (3), for the following function f (x)=√√2x-2 14 A C There is no real solution BC…

A: We have to find Function value