b) Determine, showing steps, whether the line [x, y, z] = []+¹] intersects the plane: 3 x + 7y + 8z = -12 5

Q: Eliminate the parameter t to find a Cartesian equation in the form z = f(y) for: [z(t) = 3t² y(t) =…

A: We can express x in terms in terms of y as below.

Q: 3. Find the solution of the following system of liner inequalities by graphing: (K + 2y > 5x + 3y…

A:

Q: 1.5(8x³ − 6x² + 12x - - 9)dx

A: Using the formula of integration x^n

Q: Find T(t), N(t), aT, and aN at the given time t for the curve r(t). (Give your answers correct to 3…

A:

Q: Complete the parametric equations of the line through the point (-3,1,-4) and perpendicular to the…

A:

Q: O False

A:

Q: How would you define f(2) in order to make f continuous at 2? limx→2 x^3-8/x^2-4 show ALL of your…

A: Let's solve limit problem.

Q: Simplify:- 16--// 5 2

A:

Q: 6. Which of the following is FALSE? 7. f A. (4 cos x-3 sin x) dx = 4 sin x + 3 cos x + C B. f3e³x dx…

A:

Q: T.

A:

Q: 2 -ƒ_(x−1) -dx √x

A:

Q: Solve the given initial-value problem. X (x + y)² dx + (2xy + x² - 2) dy = 0, y(1) = 1 + 6xy²-6y=1

A:

Q: A) estimate the area of the graph of f(x) = 25 - x² From x=0 to x=5 using approximating rectangles…

A:

Q: (b) (c) dy dx separable 7 y-x exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in…

A:

Q: If w = f(r, s, t), r = x-y, s=y-z, t=z-x then dw ax Əw Əw 0 O -1 -2 1 2 O

A: Use composite function to solve this problem.

Q: The z-transform of [n] = u[-n] is

A:

Q: A box with a square base is to hold a volume of 200. The bottom and top are formed by folding in…

A:

Q: The Taylor series for f(x) = e² at a = 3 is Σ(x-3)" Find the first few coefficients. CO C1 C₁ = C2…

A: The objective of the question is determine the coefficient of Taylor series.     Note -  As per our…

Q: Show that the following equations have at least one solution in the given intervals, rcos t 2x² +…

A:

Q: If ƒ_¹₁√√√¹-y² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the…

A: The objective of the question is evaluate the definite integral using polar co-ordinates and choose…

Q: Evaluate the integral S√² - 4 + 3s ds = S√-4 - 4 + 3s ds.

A: The objective of the question is evaluate the indefinite integral.

Q: The solution of Yh = e²x (c₁ cos x + C₂ sin x) homogeneous part (yh) of the equation y" - 2y' + 5y =…

A: Let's solve.

Q: Find f', f", f"" for f(x) = 3r7-4r5 + 11³.

A:

Q: 1. Determine the dot product of the two vectors in the diagram.

A:

Q: ·S In (x) vxln(x)-x X dx

A: We know that integration power rule is - Integration of xn is xn+1/n+1 + C . Here C is integration…

Q: Find an algebraic expression equal to sin (cos-¹ (5x-3)). (You may assume that − <cos-¹ (5x − 3) <…

A:

Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - Z = z…

A:

Q: Find the mass of the portion of a sphere in the first octant with radius 1 and density function…

A:

Q: Find the roots of: (D4 + 6D² + 9)y = 0

A:

Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

A:

Q: A triangle is placed in a semicircle with a radius of 6ft, as shown below. Find the area of the…

A:

Q: 3 Find the Maclaurin series of .Write your answer in sigma notation. 1 + x O O O Σ(x)³n n=0 3…

A:

Q: Temperature during an illness. The temperature of a person during an intestinal illness is given by…

A:

Q: Refer to the figure below. (a) Find the angle opposite the longest side. (b) Find the area of the…

A:

Q: (A) 3y²ex+y²dx (B) 3) [3y²e²+ y² dx 0

A: In both integration we have to integrate with respect to x . So we treat y as a constant &amp; solve…

Q: State the order of the given ordinary differential equation. dy d²y dx² = V1+ Determine whether the…

A:

Q: Find the general solution of the given differential equation. 3 +24y = 8 dy dx y(x) = Give the…

A:

Q: Determine if the differential equation y'=x4y - 9x5y is separable, and if so, separate it. dy Yes,…

A:

Q: f(x, y) 4xy; R is the region bounded by the graphs of y = V1 - = x² and y = 0 for 0 ≤ x ≤ 1

A: Solution is given below:

Q: Suppose x-j, for j-0, 1, 2, 3 and it is known that Find Po123(1.5). P₁1(x)=x+1, P₁2(x)=3x-1, and…

A:

Q: г 3x +4 x3их н dx

A: We can find and explain the answer with proper reason as below.

Q: The graph of f-1 is given below. Graph the tangent line to f-1 at the point P(6, 1) for f(x) = -x² +…

A: Let's solve.

Q: I. Solve for what is asked. Show complete solutions. -L²₁ (x²³ - 2x) d 1. Solve for a + bx² 3ax +…

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: Given cost and price​ (demand) functions C(q)=110q+45,000 and p(q)=−2.1q+860​, what is the maximum…

A:

Q: 5. Solve by using power series: y' = xy. Find the recurrence relation and compute the first 33…

A: To solve using power series.

Q: 7) The integral that finds the length of the curve y = 1+ In(sec(z)), 0≤ ≤ [² tan(x) da (C) csc (2)…

A:

Q: The reverse order of ² sinx cos² dxdy is ² ² ½ sinx cos² dydx y x False O True O

A:

Q: \(\) Choose x such that the following two vectors are parallel u= and U= O None of the others O…

A:

Q: If a xi = 0 and a x j = 0, then Select one: O a is equal to i + j a cannot be determined O a is…

A: Find out the correct option.

Q: (g) y dx = (y - xy²) dy Oseparable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x…

A: