4. DETAILS LARCALC11 11.5.056. Find an equation of the plane with the given characteristics. The plane passes through the points (4, 2, 1) and (-2, 8, 8) and is parallel to the z-axis.

Q: (5) Find the local maximum and minimum values of f(r) = 1+3x2 – 2.r using either the First…

A:

Q: Shasta was working at differentiating a function p(x) and they found that p'(0) = In Unfortunately,…

A: We will determine the value of the constant a as following.

Q: Consider the function y = 3x2+2x-4. What is the exact value of C in the interval [-2, 4] such that…

A:

Q: Evaluate ſV7– x²dx

A:

Q: 11m Convert to its degree measure. 6.

A:

Q: Find the maxim um and minimu m value s of the the constraint x2 + y? + z? = 400. Maximum value is…

A:

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 3y2 + 2, (3, 5) Vf(3, 5) =

A: Given: fx,y=2x+3y2+2 ; Px,y=3,5   As we know that; The expression for the gradient vector.…

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y2, (6,…

A:

Q: Using Integration by parts, evaluate: ſ x³Vx³ + 1dx Your answer

A:

Q: Pharmaceutical theft has been rising rapidly in recent years. Experts believe that pharmaceuticals…

A:

Q: Ina swimming pool measuring 90 m by 40 m, 150 men take a dip. If the average displacement of water…

A:

Q: Differentiate implicitly to find dy Then find the slope of the curve at the given point dx 8x-9y…

A: topic - implicit differentiation

Q: Solve the DE: tan xsin y y'+(3 tan x-2 cos y) sec x=0

A:

Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

A:

Q: Suppose that enrolment in CLSU has been increasing over the years since year 2014 according to the…

A:

Q: fin the general solution of (x+2y-4)dx - (2x+5-y)dy=0

A: Please see the below picture for detailed solution.

Q: t/3 cos e sin 20 de T/6

A:

Q: Find the derivative with respect to x if f(x) = e -14x The derivative with respect to x if f(x) =…

A:

Q: .2 xdx Evaluate (x²-2)5

A: Use simple integration formula.

Q: 8 4 4 -7 (a) h(x) = 7X 1 -7 (b) g(x) = 7x (c) k(x) = - 7X %3D %3!

A:

Q: AVERAGE VALUE OF A FUNCTION QUESTIONS A. 3x2+4x-7, [-2, 5]

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: We can solve the given problem as follows:

Q: Which of the following is not equivalent to sin 0?

A: We are asked to find which is not equivalent to sinθ

Q: A solid spherical steel ball, 20 cm in diameter, is placed into a tall vertical cylinder containing…

A:

Q: S sin 2x sin 4x dx 7.

A:

Q: Consider the function  f(x)=4/x^2−3/x^5. Let F(x) be the antiderivative of f(x) with F(1)=0. Then…

A:

Q: At which points on the curve y = 1 +°40x³ – 3x³ does the tangent line have the largest slope? | (x,…

A: Maximize slope

Q: S4tan3 (пх + 1)dx

A: ∫ 4tan3πx+1dx=4·∫tan3πx+1dxLet u=πx+1.=4·∫tan3u1πdu=4·1π·∫tan3udu=4·1π·∫-1+sec2utanuduLet…

Q: Find the dimensions of a rectangle with area 216 m2 whose perimeter is as small as possible. (If…

A:

Q: Graph the equation below. Choose the correct graph. y = 5.5* OA. O B. OC. OD.

A:

Q: Evaluate xe*dx. -3

A:

Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

A: Solution is here

Q: ds For the following function find the antiderivative s that satisfies the given condition. dt ds =…

A:

Q: estion Evaluate:S sin (3x) cos³(3x) dx r answer estion Ising Trigonometric Substitution, evaluate: -…

A: Solution:

Q: Which of the following is not equivalent to cos(0 + 0)? cos 8 cos 0- sin 60 sin 0 1- 2 sin? 0 O…

A:

Q: Determine whether (-±) is part of the unit circle or not.

A:

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A: topic - application of derivatives

Q: Find Ay and f'(x)Ax for y = f(x) = 6x, x =4, and Ax = 0.06.

A:

Q: x² – 16 Evaluate lim x4 2- Vx O -32 None of these 1 O 32 O does not exist

A: Given  Lt   x²-16/(2- √x)        x->4

Q: 2. 30e-3*(1+ e-3x)5dx

A: We need to evaluate integral.

Q: a) Find the degree 4 Taylor polynomial T(x) for the function f (x) = 2e" centered at the point a 3.

A: Given that fx=2ex  centered at the point a=3we defined the nth taylor polynomial centered at x=a Tn…

Q: (8x? + 2x) dx = 2x + x? Select one: OTrue O False

A:

Q: 2x

A:

Q: V-2 Evaluate lim X8x2-7x-8 O 2/7 O None of these O 1/9 1 O 1/12

A: We have to find limit

Q: Given f(a) = 1- 홀 (3 + 4a) + 용(3+ 4z)2 - 꿈 (3+ 42)3 then f'(x) = 27 (3 + 4x) 8. 흥(3+ 4z) + (3+ 4z)2…

A: topic - derivative of a function

Q: What is the edge of a cube whose volume is equal to that of a rectangular bar measuring 100 cmlong,…

A: Let the edge length of the cube be 'a' units

Q: xdx Evaluate (x²-2)5

A: We have to use rules of integration to solve the question

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In V x2 + y², (6,…

A:

Q: %3D What is the slope of the function y = 3x² + 5x – 7 at (-1,-

A: Given query is to find the slope of the function.

Q: Solve the differential equation. (x² + 15)y' = xy

A: