I'm looking for a more expanded explanation on how to graph f(x) = -3sin(x).   I'm not understanding how to state it's amplitude, period, and midline.

Q: Find the number of units, x, that produces the maximum profit P, if C(x) = 45+4x and p = 60 - 2x. A.…

A:

Q: 4. A rectangular sheet of metal with dimensions 20 cm by 15 cm is to be used to create an open top…

A: According to given, Height of the box(h)= x Length of the box(l)= 20-2x Width of the box(b)= 15-2x…

Q: Find the points at which the following polar curve has a vertical or a horizontal tangent line. r =…

A:

Q: A bag contains three red marbles, three green ones, one lavender one, two yellows, and three orange…

A:

Q: Consider the following planes. -6x + y + z = 6 24x - 4y + 6z = 36 (a) Find the angle between the two…

A: Given problem:- Consider the following planes. - 6x + y + z = 6 24x - 4y + 6z = 36   (a) Find the…

Q: Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to…

A:

Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v=i+j+ 7k w = i + 9j + 5k Find the…

A: Given, u=5i+2j+k,v=i+j+7k,w=i+9j+5k.

Q: me Determine the equation of t e 00 te tragen ܘܪܐܐܝ tangent line to y 3- 22+1 at 2:

A:

Q: A ball sits on the point (1,1) and touches the f(x,y)=5-(x^2+y^2). In which direction graph of will…

A: Here is the solution of the given problem.

Q: Find the general solution of the given differential equation. dy dx y(x) = = 3y 3y² 2 + Cx Give the…

A:

Q: 2 x ln((2x)²) dx 1

A:

Q: Find the first four nonzero terms in a power series expansion of the solution to the given initial…

A:

Q: Find the function f if. Vf-(3a²y + y², a² + 2xy), Vf dr with and without the Fundamental Theorem of…

A:

Q: (b) Find the solution of the initial value problem dy dx Type your answer here: कर - xy = x²…

A:

Q: ~tu{S} o 1 In(y) dy de

A: We have to find the double integral

Q: The indicated function y(x) is a solution of the associated homogeneou Yp(x) of the given…

A: We will solve the given differential equation.

Q: 3. An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie.…

A:

Q: Sketch the graph of the inverse function. -B Ау B- (2,3175) Q ✔ Choose the correct graph below. O A.…

A: The given graph is

Q: Find the area of the triangle ABC. A= 52.1° B=32.8° c = 24.1 m What is the area of the triangle? m…

A:

Q: The first three Taylor polynomials for f(x)=√9+x centered at 0 are po (x)=3, P₁ (x)=3+, and…

A:

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: We need to find differential operator.

Q: Consider the following planes. 3x + 2y z = 28 x - 4y + 2z = 0 (a) Find the angle between the two…

A:

Q: 8 20 ह n=0 77+1 A. The series converges. Its sum is B. The series diverges.

A: The objective of the question is determine the sum of the geometric series.

Q: h X f! 1-X.

A:

Q: Let Compute θω -(2, -3) = 28 მs дw -(2, -3) = Ət w = 4xy-yz - 3xz, x = st, y = est, z = ²

A:

Q: Solve the given differential equation by undetermined coefficients. y"" - y" - 25y' + 25y = 6 - ex +…

A:

Q: Evaluate the following integral and express in exact form: cos(x/2) sin(x/2) dx

A: SOLUTION-

Q: Evaluate Integrals [(yex - Inyx) dx

A: Follow the procedure given below.

Q: Find the general solution of the given higher-order differential equation. y""+ 2y" 16y'- 32y = 0…

A:

Q: Find the area enclosed between the following two functions over the provided interval x²+2x+15 and…

A: In this question we have to find the area enclosed between two functions.

Q: If r(t) = cos(-4t)i + sin(-4t)j + Ok compute r'(t)= i+ j+ k k+ C and fr(t) dt=i+ with C a constant…

A: Given: rt=cos-4ti+sin-4tj+0k   As we know that; The Chain Rule: fgx'=f'gx·g'x   And the common…

Q: Solve the equation for exact solutions in the interval [0°,360°). Use an algebraic method. (cot…

A: Solve the following

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A:

Q: A real estate office manages an apartment complex with 50 units. When the rent is $650 per month,…

A:

Q: Average Cost Graph The total daily cost (in dollars) of producing a mountain bikes is given by…

A:

Q: Find all points where the function is discontinuous. IN 17

A:

Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A:

Q: For the following sequence, give an explicit formula for the nth term for n ≥ 2. an 2 a₁ = 2, an+1 =

A: We are asked to find the explicit formula for the sequence.

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given plane is passing through the points (4,2,1) and (4,1,-6). Let A,B C are direction ratio of…

Q: Find y = (2x²² -6) ⁹ dy اده

A: We can find the derivative as below.

Q: Consider the following. u= (-10, 0, 4) v=(3, 3,0) Find u x v. (12.12.30) Determine if u x v is…

A:

Q: a drug is injected into the bloodstream of a patient through the right arm, the drug ntration in the…

A: Topic:- application of derivatives

Q: Use the Trapezoidal Rule to approximate the area under the curve ƒ(x) = 3x² x on the interval [2,…

A:

Q: Use properties of power series, substitution, and factoring of constants to find the first four…

A: Given the function 1+6x-2The taylor series,1+x-2=1-2x+3x2-4x3+...... for -1<x<1

Q: e Determine the equation of the tangent line to y=x2(√x+x la a C C C C C C C

A:

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

A:

Q: Evaluate the following integral: Sºa dx -00x²+1

A:

Q: From the point (5,12,13) on the surface of g(x, y) = √x² + y², find the direction of maximum…

A: The gradient vector is a vector made up of all the partials of a given function. We compute it by…

Q: A force of 880 newtons stretches a spring 4 meters. A mass of 55 kilograms is attached to the end of…

A: The solution is given below