Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, enter DNE.) x - 3 y z-7 2x + 5y = -7, 2 14 (x, y, 2) = ( Determine whether the line lies in the plane. The line --Select--- v žie in the plane. --Select- does Submit Answer does not

Q: 2. Verify that the Mean Value Theorem (MVT) applies to the function f(r) on the interval 37 and find…

A: Given query is to find the value that setisfy the mean value theorem.

Q: Evaluate * e2x sin e" dx : -e*cos(e*) + sin (e*) + c e*cos(e*) – sin (e*) + c Option 1 Option 3…

A:

Q: u = 5i + 4j, v= 3i + 2j (a) Find the projection of u onto v. (b) Find the vector component of u…

A:

Q: Give the curve r = 3 cos 0 b) Find the points on the given curve r = 3 cos 0 where the tangent line…

A:

Q: Evaluate the definite integral. Use a graphing utility to verify your results. 25 dx

A:

Q: 1 (5* )csch dy x+1 1. (а) if Find dx x > 0. y = (ecosh S* ) In(Vx² +1

A:

Q: Consider the following. u = 5i + 4j, v = 31 + 2j (a) Find the projection of u onto v. 33 3i + 2j 13…

A: u = 5i +4j v= 3i+2j   a projection of u onto v  = (u*v)v/|v|2 u*v = 15 +8 =23 |v|2 = (32+22)2 = 13…

Q: +t, 2t +t, 6t} O sis a basis of P O sis not a basis of P3.

A:

Q: Find an equation of the plane that passes through the point P(-8, –4, 7) and has the vector n = (-2,…

A: Given problem:- Find an equation of the plane that passes through the point P(-8, -4,7) and has the…

Q: A rectangle field is formed using a building as 1 side. The other 3 sides are to be fenced with…

A:

Q: What is the length of a simple pendulum whose full swing from left to right and then back again…

A:

Q: Find the length s of the circular arc. S = 9. 5 A

A:

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z² (2,…

A:

Q: x = -4 + t, y = 2t, z = 7 + t (a) (0, 8, 11) O Yes O No (b) (4, 5, 9) O Yes O No (c) (-6, -4, 5) O…

A:

Q: Let f(x)=4x^2−4x^4. Find the open intervals on which f is increasing (decreasing). Then determine…

A:

Q: 1) Find an equation of the tangent line to the curve y5+x2y3 = 1+x4y at the point (1,1).

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the directional derivative of f at P in the direction of a. f(x, y, 2) = xy + 2²; P(2,-5, –1);…

A: Given query is to find the direction derivative. BB

Q: Determine the critical point and find for the maximum and minimum values at closed interval for the…

A:

Q: [x² In x dx

A:

Q: Find an equation of the plane that passes through the point P(5, 6, 2) and has the vector n = (1,7,…

A:

Q: АCTIVITY GIVEN : 2x 2x 1 2х + 3 1 f (x) = 1 –x 8 g(x) = 3(x + + 4 h(x) = 6 a.lim -4 · f (x) d.lim (8…

A:

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A:

Q: Find * 4xe²? dx. e2z² + 2ez² +2 -2tan-1(e*² + 1) + c 2tan-1(e* + 1) + c O Option 2 Option 1…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: Evaluate * Vx² – 1 dx.

A: Given,  ∫ x2-1x2dx

Q: dy +y = y² sin x dx

A:

Q: The sum of two numbers is 12. if one number is x, what is the value of x such that the product of…

A: Here, let the two numbers be: x & y Then, x+y=12⇒y=12-x Now, the product of the two numbers be:…

Q: A. Integration By Parts 1. ſx5Vx3 + 1 dx 2. S/* x sin 2x dx 3. S- x³ex? -dx (x2+1)2

A:

Q: Direction: Determine the Inverse Laplace Transform of the functions using the Laplace of Integrals…

A:

Q: Discuss the continuity of the function on the closed interval. Function Interval 9 - X, f(x) = [-3,…

A:

Q: Find the radius and interval of convergence for the series (n!)2 (2n)! (æ – 5)³n - n=1

A:

Q: Find the derivatives of trigonometric functions: y = 4 sin" x + 5 cos" x y = sin' x cos x y = 2 sec…

A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple…

Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s =…

A:

Q: Perpendicular to the plane z + 3y – x = 7 and containing the points (2, 5, 0) and (0, 2, -1)

A: Solution of question is written in below steps.

Q: s (e² + 4 cos 8z dz 1+sin 8z,

A: A detailed solution is given below

Q: Part 2. Math column A to column B by finding the slope of tangent line at any given point and write…

A: Note :- These are multiple sub parts questions and according to our company guideline we can do…

Q: Find the Fourier series of f(x) as given over one period and sketch f(x) and partial sums: (0 if –2…

A:

Q: -7 5. s(s+)

A: On solving this we will get

Q: xdx + ydy = (x² + y²)dx

A:

Q: ecot x 20. J sin² x(e- cotx) ax is equal to A. ecot x 1 + C ecot x C. -ecot x + C D. –ecot x + C

A: Given problem:-

Q: Find: e sinx dx tanx CsC x dx 4x3 + 4x²+ x

A:

Q: Determine whether the planes are parallel, perpendicular, or neither. Зх — 12у — 9г — 3 %3D 0 (a)…

A:

Q: Solve the given third-order differential equation by variation of parameters. у" - бу" — у'+ бу 3D…

A:

Q: A) If (xn) is a decreasing and bounded sequence. Prove that (xn) is convergent with lim xn = inf {xn…

A:

Q: A) If (xn) is a decreasing and bounded sequence. Prove that (xn) is convergent with lim Xn inf {xn :…

A:

Q: d (cosh* 3x– sinh* 3x)= In(x + Vx² -1). -1 (b) Show that for x 2 1, coshx- - dr

A: This is a problem of trigonometric hyperbolic inverse identity. Based on the fundamental formula we…

Q: 0,81 - 0.3104 + 27, wheret is the time in hours after When a factory operates from 6 AM to 6 PM, its…

A: Given problem:- When a factory operates from 6 AM to 6 PM, its total fuel consumption varies…

Q: Verify that the two planes are parallel. -x + 6y + 3z = 7 x+ 2y + z = 8 Find the normal vector, n,,…

A: Normal vector of a plane Ax+By+Cz+D=0 is defined as A, B, C

Q: true or false: if f’(x) = 0, then the point (x,f(x)) is an extreme point.

A: Given query is to find statement is true or flase.