Write the scalar equation of the plane with normal vector = [0,-1, 3] and passing through the point (5, -2, 3). a. y 3z +11=0 b. y 3z-11-0 c. d. -y+ 3z + 11 = 0 -y+ 3z + 16 = 0

Q: The growth rate, r individuals per year, of a population in year t after the start of observation is…

A:

Q: Suppose that f(x) = 1+5x. Consider the partition P of the interval [-2, 1] by means of the set of…

A: Given that :Equation of the function Interval is Set of partitions are To find : Reimann sumConcept…

Q: -|x|, h(x)=20-x², 4x-1, A) lim h(x) = x-5+ B) lim_h(x) = X115 C) h(3) = x≤-5 -5 3

A:

Q: 1.) Given the function in the graph, answer the following questions. g(x) = x³ - 3x g(x) a.) What…

A: We have to find domain, range, monotone intervals, relative extrema and average rate of change for…

Q: Solve the LP problem, If no optimal solution exists, indicate whether the feasible region is empty…

A: To solve the following LP problem..Maximize  subject to

Q: Compute the following limit using the properties of limits. 8 119 1203 - 9248 8 x-1 x-1 Show your…

A:

Q: d) dy x dx y The solution can be written in the form y² = g(x). Enter g(x) in the box below Do not…

A:

Q: Find all zeros, noting multiplicities and behavior at the zeros, of the following functions:

A:

Q: A toy rocket is launched from a table 2 feet above the ground. The height of the rocket above the…

A:

Q: Use the graph of f(x) below to find the following derivatives. Write DNE if the derivative does not…

A:

Q: 5. (a). i • (7F + (; (b). |(i • )i\\; (c). i • ); (d). (i) • . Let i = (1, 2,0), F = (4, 1, —2), and…

A:

Q: 4. An observer stands 25 feet from the base of a flagpole and watches a flag being x=25 lowered at a…

A:

Q: Find the volume of the solid generated by rotating about the x-axis the region bounded by y = 0.6",…

A:

Q: Suppose g (x) is increasing and concave up everywhere and g (A) = 9, g'(A) = 17, h = 0.01 (a)…

A:

Q: Find the area of the shaded region. f(x)=x+2 g(x)=x²-2 y -8-7-6-5-4-3-2 8765432 ACT -8 ¶|||| +++…

A:

Q: give answers fore b,c,d

A: (b): (c): (d):

Q: Find the derivative of f(x)=√x¹4 HINT: recall that x = x ²7. Write your answer using negative,…

A: Consider the function

Q: Find an equation of the tangent line to the graph of the function at the given point. π y =…

A:

Q: 84. x = e¹ sin t, y = e' cos t; 0 ≤ t ≤ 2π

A: As we know The arc length of the parametric curve (x(t), y(t)) over the interval [a,b] is

Q: Consider the graph of a function f shown here: 3 (c) 6 ƒ(9) — ƒ(6) 9-6 (d) f'(3) ? 9 Using the…

A: From the given graph

Q: An object dropped from rest from the top of a tall building on Planet X falls a distance d(t) = 13t…

A:

Q: 24. By analysing the normals, determine if the two planes intersect in a line, are parallel and…

A: If  is the angle between the planes  then

Q: Find the solution of the differential equation satisfying y(2) = 1. y = (Do not enter decimals in…

A:

Q: Find u v, uu, ||u||2, (u v)v, and u. (2v). . u = 5i + j - 9k, v=i4j + 5k (a) (b) u. V u u (c) ||u||²

A: According to Bartleby's guide line we only do first three parts of multi-part questions.Given,

Q: 1. Differentiate. a) y = 2cos (4x) b) y = 1+e²x e2x (Hint, consider creating an easier equation) c)…

A: As per our guidelines we can answer only 3 sub parts of the given problem so kindly repost the…

Q: . Find the x-values in [0,2π) where y = 3 cos x sinx has a horizontal tangent

A:

Q: Find an equation of the tangent line to y = sec 2x at x = π/6

A:

Q: Prove the formula, where m and n are positive integers. sin(x) sin(x) dx = [0 men (xif m=n Let m and…

A:

Q: Question 2.31) Show that the equation *¹²= 2x must have at least one solution on the interval (0,2).…

A: Question no. (2.31):To show that the equation  must have at least one solution on the interval .To…

Q: is v(t)dt? | 2.25 What is is fu(t) What is 46 v(t)dt? 2.25 X 6 6 This is a velocity-time graph of a…

A:

Q: Find u and if u-27= (1,3,3) and 37+7=(3, 2, 16).

A:

Q: A sum of scalar multiples of two vectors (such as au + bv, where a and b are scalars) is called a…

A:

Q: Find an equation of the tangent line to the graph of the equation at the given point. x² + x arctan…

A: The point on the curve through which tangent passes is, .The slope of the tangent is given by, The…

Q: 17. Two planes are parallel if their normals are

A: As per bartleby policy we are not supposed  to answer  more than one question per post.This post…

Q: If f(x) = 6x5+4x4-7x³ x4 find f'(x)

A:

Q: y 4 -3- N f 12 3 et u(x) = f(x)g(x) and v(x)=f(x) g(x) (a) Find u'(1). 9 45 6 X

A: Given that  u(x)=f(x)g(x) and (a) u'(1)(b) v'(5)

Q: Develop an equation relating the rates at which the variables V and h are changing (dv/dt and…

A:

Q: The area under the curve y = √x bounded below by the x-axis and on the right by x = 4 is 16/3 square…

A: Solution:Area=Let t=-x==Area==Area=Similarly,Area=Let t=xdt=dx==Area=

Q: (d) For each p in your answer to (c), find lim f(x) x→p¯ If any of these do not exist, write DNE.…

A:

Q: Compute (2, -3,4) • ( − 5,4,1). (2, -3,4) • (-5,4,1) = (Simplify your answer.)

A:

Q: 2. The input of a function C is time of day since midnight. The output is the number of cars in the…

A:

Q: 4. For the graph of the function g below, (a) Does g(4) exist? (b) Does lim g(x) exist? x→4 -2 (c)…

A:

Q: _f(x) = = x + 1 ; P(-2, 2)

A:

Q: Find an equation of the tangent line to the graph of the equation at the given point. x² + x arctan…

A:

Q: Suppose that f(x) is a function with f(130) = 39 and f'(130) = 2. Estimate f(132).

A: f(x) is a function with f(130)=39 and f′(130)=2

Q: a) b) c) d) The graph of y = 4sin (x) x) has many tangents with a slope of 4. Another way of…

A:

Q: 1. This question concerns the function y = f(x) = 2 - 3x² near the point where x = 1. (a) What is…

A:

Q: 0. Evaluate lim x→1 X x-1 1 In x

A:

Q: If f(x) = 3x² - 6x + 6, find f'(0). f'(0) = Use this to find the equation of the tangent line to the…

A:

Q: A hard-working student takes 200 mg of ibuprofen to treat a headache. One hour later, 143 mg of…

A: