Find an equation of the plane with the given characteristics. The plane passes through the points (4, 2, 1) and (-1, 5, 5) and is parallel to the z-axis. Neod Heln?

Q: 2. Let a, b e R and let f be the function Z + Z defined by f(z) - ar + b. For which values of a and…

A:

Q: 7 dx 5. S 2 2 3 xVx-4

A: We will solve the integration.

Q: C Solve the following problems. 16. What value of k makes the function continuous at x= 3? Graph the…

A:

Q: Find an equation of the plane through the origin that is parallel to the plane 5x – 4y + 6z + 10 =…

A:

Q: Suppose that it is given to you that f′(x)=(x+5)(10−x)(15−x) 1.The first inflection point (from the…

A:

Q: Integrate the differential equation in which A is being made at a rate k1and destroyed…

A:

Q: = सितो 11

A:

Q: indefinite integrals: Show complete and detailed solutions. Express your answers in simplest form…

A: Solution :∫x-2+1dxlet, x-2=t2dx=2tdt∫t+12tdt2∫t+1tdtlet…

Q: 4) Determine whether the following series is absolutely convergent: k Σ 3 k=1

A: We need to determine absolute convergence.

Q: (cos x+xcost)dt +(sint – t sin x)dx = 0 Ans. t cos x+x sint = c

A:

Q: 1. Evaluate the indefinite integral, ſx² sinh x3 dx.

A: To evaluate the indefinite integral, ∫x2 sinh x3 dx.

Q: 21. ( (3r'- + 30) dt

A: We have to find the solution

Q: Problem 7 As blood moves from the heart through the major arteries out to the capillaries and back…

A: As blood moves from the heart through the major arteries out to the capillaries and back through the…

Q: * | 2x)cx csch (2 sin -1 V1-4x²

A: The given integral,       ∫csch2sin-12xdx1-4x2

Q: 1+ 4" 1+ 3" n=1

A:

Q: Suppose that o f(x) dx = 3. Find , f(x) dx if, %3D

A:

Q: JI (x - 1)5 + 3 (х — 1)? + 5 Jdx

A:

Q: Consider the Bernoulli's equation: dy - y = 6e*y³. dx A) Find an appropriate substitution and reduce…

A:

Q: 7) f(t)=e"(Acos(ßt)+B sin(ßt)) -at

A:

Q: Find the gradient of the function at the given point. In(x2 – y) - 3, (3, 8) Z = | Vz(3, 8) =

A:

Q: x2 sin x+2x cos x f'(x) = cos²x

A:

Q: . (-со, 6)

A:

Q: The sum of two positive numbers is 16. Find two numbers such that the sum of the squares is a…

A: Given problem:- The sum of two positive numbers is 16. Find two numbers such that the sum of the…

Q: panding such that its length is always 4 times its width. If the ng at a rate of 0.5 cm/min, is its…

A:

Q: Show that the absolute value function is continuous at x = 0. 2. Show that the signum function is…

A:

Q: S 4x* sin2x dx A (2xª + 6x² + 3) cos 2x + (4x³ + 6x) sin 2x + C C (2xª – 6x² • 3) cos 2x + (4x³ –…

A: Integrating by parts : ∫u.v dx =u∫v dx -∫dudx∫v dxdx dxndx=nxn-1 ∫cos(ax)dx =1asin(ax)+C ∫sin(ax)dx…

Q: 1 Determine the definite integral of 4 3(Vx) xp (DE + x^)S

A: Let I=∫49x+13xdxApply the Sum Rule:…

Q: sketch the graph of the rational function with the following properties: touches the x axis at 3,…

A: A rational function has following properties,touches the x axis at 3crosses the x axis at -2vertical…

Q: | e" sin® (e") cos" .7 (e²)dx

A:

Q: 8) Find a power series representation and determine the interval of convergence for 2 f(x) = 3 – x

A:

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). v = (0, 12) a =

A: We can find the value of a and b as below.

Q: Determine the area, in square units, bounded above by f(r) = x2 + 10x + 25 and g(x) = -x +1 and…

A: Topic = Area The area is 323.

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Find your answer below

Q: Г(x3 + 2х — 1) cos 4x dx A .3 13 x (3x² 13 sin 4x + 4 |cos 4x + C + - 4 32 16 128 B (x³ (3x² 13 |cos…

A:

Q: 4. dy - (x-y+ 1)'dx = 0

A:

Q: 8xy® 8x8 + 8ys if(x, y) ± (0,0) Let f(x, y) if (x, y) = (0,0) 3xy® За? + 3у12 if (x, y) + (0,0) and…

A:

Q: Bradley has 35 baseball cards. H shared them equally among himself and 6 friends. Then Bradley…

A:

Q: 2.

A:

Q: Find the directional derivative of f(x, y, z) : 4y at P(3,1, –2) x + z in the direction from P to…

A:

Q: Which of the following is the inverse of the functionf : [0, ∞) → [3, 0), f(x) = 2.x² + 3? Select…

A:

Q: A wire of length L- 100cm is divided into two parts. One forms a circle and the other forms a…

A:

Q: A general equation of conic section is given as y + 4x + 4(x – 2y) + k =0. Determine the value/s of…

A:

Q: 18 1. Given the graph of the function y, determine the (Note: The curves between x = 4 and x = 6,…

A: Find your answer below

Q: Let a = ci + jand b = 9i + 12j. Find c so that the angle petween a and b is=. Round your answers to…

A:

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of  PQ.…

A: Given problem:- Find the directional derivative of the function at P in the direction of PQ. f(x, y)…

Q: Question 1: 2nd Order ODE, Homogenous. Find the general solution, and the values of the given…

A:

Q: Determine whether the lines L1 and L2 are parallel. L: x = 2 – 31, y = 4 +1, z = 7- t L2: x = 5 –…

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: Please answer each question with solution.

A:

Q: St² sin(2t*)dt A 1 (sin(2t*) – 2t*cos (2t*)) + C (sin(2t*) – 2t*cos (2t*)) + C 14 B D (sin(2t*) –…

A: