Complete the parametric equations for the line where the planes - 7x + y + 3x = 3 and 4x7y + z = 23 intersect. x(t) = 22t: y(t) = z(t)

Q: axb=2x2 X X What can you say about band ? a) Their magnitudes must be equal Ob) Their directions and…

A: Given.

Q: 1.1 Determine the following derivatives with respect to x 1.1.1 y = cos(sin(cos.x)) 1.1.2…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 3 s²+1 6 s² + 1 Option 4 O * The Laplace transform of the x(t) is x (t) = 3 sint 3 s²+2 6 s²+2…

A:

Q: Show that: l (i) a a a a al la al = = (2a +l)(l

A:

Q: Question 4 (a) Solve the following: (b) Explain with the aid of a sketch how this value can be…

A: Above question is solved.

Q: Question 4 (a) Solve the following: √4x² dx (b) Explain with the aid of a sketch how this value can…

A: Let's solve given integral.

Q: What are the fourth roots of -3 + 3√//3i?

A:

Q: dy ({})y+3

A:

Q: Find the point at which the line x(t) y(t) z(t) - 5+ 5t -6-8t intersects the z plane. - 7+8t

A:

Q: X y = (sec x) log2 a

A:

Q: x 5√x ³ + 4 dx 3 Lx5

A:

Q: Find the arc length of the curve on the given interval x (0) = 0³, y (0) = 0² ; 0 ≤ 0 ≤ 2

A:

Q: 6. Find the symmetric equation of the line parallel to ở = (1,4, 6) + t(−2, 4, 7) that intersects…

A: Given problem:- 6. Find the symmetric equation of the line parallel to r = (1,4,6) + t(−2, 4, 7)…

Q: Consider h(x, y, z) = ln (xy) —sin (y²)+e** at the point P (1,1,0). 1 the following: (a) the…

A:

Q: Given the complex numbers z = 2 + j3,zz = -1 - j2,andzg=4+j4 find; Im (高)x+x@zs)+Im(zz+z) (元)

A: solution

Q: State the order of the given ordinary differential equation. (1-x)y" - 4xy' + 7y = cos x Determine…

A:

Q: Convert the following iterated integrals (SET UP ONLY): x² a.) [f dA from Cartesian coordinates to…

A: The simple change polar coordinate...

Q: Evaluate the indefinite integral du =

A: The solution of the integral is given below:

Q: ? Question Draw the gradient f( − 1, 1), starting at ( − 1, 1), on the contour map of f(x, y) = xy.…

A:

Q: O Determine if the line and plane intersect. If so, state the solution. T: -2x+6y + 4z_4=0 L: [x, y,…

A:

Q: False

A:

Q: if X(z) is the z-transform then what is the z-transform of x(n) of x(n- ?6)

A: In this question, we need to find the z transform of x(n-6).

Q: A box with a square base and open top must have a volume of 108000 cm³. We wish to find the…

A:

Q: Write the matrix below as a product of elementary matrices 1 2 3 235 1 05

A: The objective of the question is determine elementary product of matrices ,of the given matrix

Q: 15. Use the results of problems 12,13 and 14 and assume that the Maclaurin Series expansion for ex…

A:

Q: Q22) The inverse Laplace transform of H(s) : = a) f(t) ==e¹+¹e²t 8 8 -3 c) f(t) == est +²e-2t 8 8 1…

A: To find the inverse laplace transform of givem function.

Q: Q1/ Solve the following differential equation then check the result dy +² - x² = 2xy -- dx Ans./y =…

A: Given problem:-

Q: Evaluate the integral: 18x² √64 x² - I dx

A:

Q: a b 3. Write the scalar equation of the plane with normal vector = [5,-1,-2] and passing through the…

A:

Q: Taika invested a total of $ (a+b+c+ 900) × 1,000 into three investment accounts, paying 3%,4%, and…

A:

Q: QY/ Find the direction devivative of f(x,y) = x₁² + yet at the paint (2,1), by the dirction of V =…

A: We have to find the directional derivative.   According to our guidelines we can solve only one…

Q: The diversity of a population that contains two species can be measured by the Gini-Simpson…

A: The diversity is given by H(p)  H(p) = 2p(1-p)   H'(p) = d/dp(2p(1-p)) H'(p) = 2(1-p) -2p H'(p) =…

Q: Differentiate the following expression: y = x² cos 4x

A:

Q: (b) If ƒ is continuous on (a, b) then there is a number c in (a, b) such that f(c) is an absolute…

A: Consider the statement  If f is continuous on (a,b) then there is a number c in  (a,b) such that…

Q: Which of the following functions is entire? For each, justify. = 2(32) ƒ(z) = 2'

A: Given :   f(x)=2(3z)

Q: Which of these series, if either, diverges? ∞ - 1)k 1. II. Σ(-1)^ (77) K²+1 k=1 k k=1 A. I only B.…

A:

Q: Find the value of a which makes the function below continuous on (-∞, ∞). f(t) = [a(x²/2) x < 1…

A: We will use the definition of continuity to solve this question.

Q: Question 2. Evaluate the following integral ² 2 0 C. C z² dz dy dx. Show all your work!

A:

Q: P1: Calculate the area bounded by the curves: C. y e* and x - 2y + 5 = 0, and y-axis.

A: To calculate the area bounded by the following curves.y=e-x and x-2y+5=0, and y‐axis.

Q: f(x) = = 250 x1.40

A: As we know that; The Power Law: ddxxn=nxn-1 And a·f'=a·f', where a is constant.   The given function…

Q: ל 15 18 a = (3₂16) 6= (-2,0,1) → 08 -> 2² = ²²-23 +5k →> oc CẢ OA

A: Given :a→=3,1,6=OA→b→=-2,0,1=OB→c→=i-2j+5k=1,-2,5=OC→

Q: 7. f (ex + 1)² dx 8. fex dx/(e²x + 3) 9. f (cos x-sin x)² dx

A:

Q: 1)y=(8+7x³) Find the derivative of the following functions 2)y = (x +5)*(2x + 3) 3)y=√(x²+3)²

A:

Q: 5) An isotope of lead decays according to the function remaining, in grams, after t minutes. a) What…

A:

Q: c) Yp = Asin(2t) + Bcos (2t) Q13) The general solution for y' = 6y²x, is: a) == 3x² + c b) = x² + c…

A:

Q: Find example where of is continuous and an - bijective but f¹ is not

A:

Q: 2 S-2 2 S+2 Option 3 Option 2 O *The Laplace transform of the x(t) is 2e21 1 S - 1 s²+1 Option 1 O…

A: Let's do laplace transform of given function.

Q: (2x-1)dx 2x³-x²-27x + 30

A:

Q: The x-component of the unit vector in the direction [1, -2, z] is. What is the value of z? O a) 1…

A:

Q: Consider the function f(x) = 4 - 5x², −5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x…

A: The given function is: f(x)=4-5x2 To find the absolute maximum and minimum of the function on -5≤x≤1