7. Given a = [5,-2,1] and b = [−3,4,5]: · a) Calculate the angle between a and b. b) If = [5,6,t], find t so that a and c are perpendicular.

Q: Equations are given whose graphs enclose a region. Find the area of the region. y = x²-2x+1; y =…

A: Answer is given below:  Explanation:Question 1:Answer:

Q: Let y = tan(3x+5). Find the differential dy when x = 1 and da = 0.2 0.61185103 Find the differential…

A: Let .To find the differential .To find the differential .

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.04t³ +…

A: (A) S′(t)=0.12t2+1.6t+8 (B) S(4)=53.36  and  S′(4)=16.32 (C) S(12) gives the total sales of the…

Q: For the equation sin x = cos(5x), use the Newton-Raphson method to find an approximate solution. Use…

A: To apply the Newton-Raphson method to find an approximate solution to the equation sin(x) = cos(5x)…

Q: e^0.006x= 25 = 536.48 what is 536.48 rounded to 4 decimal places?

A: The objective of the question is to round the number 536.48 to 4 decimal places.

Q: We'll be analyzing the surface area of a round cylinder - in other words the amount of material…

A: The domain of A(r) represents the valid value for the radius r for which the function A(r) is…

Q: Find the value of the improper integral fox dx 1 + x2 a. πT O b. C. d. -π Not in the list П 2

A: Option (d) is correct π/2 Explanation:Step 1:- Step 2: Step 3: Step 4:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: (-5, 2, 1) Explanation: Here, given equations of lines are…

Q: Solve the equation. 0.006x=25

A: x=536.48Explanation:Step 1: Take the logarithm of both sides lne0.006x=ln(25) Step 2: For the left…

Q: a. Use implicit differentiation to find dy dx b. Find the slope of the curve at the given point. 3…

A: 6xy=9(a)ddx(6xy)=ddx(9)Using the product ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Q: Evaluate the definite integral 0 dx 2√√x(1±√x)2

A:

Q: https://mylab.pearson.com/Student/PlayerHomework.aspx/homew 118flushed=true&c Find the linearization…

A:

Q: A direction field for the differential equation y' x cos Ty is shown. (a) Sketch the graphs of the…

A: All the answers are in the explanation part.Explanation: To sketch the graphs of solutions that…

Q: Find the exact value of each of the remaining trigonometric functions of 0. sin 0= 15 17 0 in…

A: Cosθ=−178​Tanθ=−815​Cscθ=1517​Secθ=−817​Cotθ=−158​Explanation:For any query with the solution,…

Q: 27 sin(t) cos(t) = −12 cos(t) t =

A:

Q: Please don't provide handwritten solution ....

A: The objective of the question is to evaluate the integral of the function sqrt(3-x^2) + 2x.

Q: You should have observed that the general pattern using the fractional format is: 2n 8642 I(n) = 2…

A: We have given a series I(n)We have to observe and rewrite in general pattern

Q: A manufacturer has been selling 1500 television sets a week at $540 each. A market survey indicates…

A:

Q: (a) Let v(t) be a differentiable vector valued function of t. If v. (dv/dt) = 0 for all t, can we…

A: The objective of the question is to determine if we can say anything about the magnitude of a vector…

Q: Find an equation of the tangent plane to the given surface at the specified point. zy In(x), (1, 8,…

A: Therefore, the equation of the tangent plane isz=8x−8.Explanation:Q. Find an equation of the tangent…

Q: A baseball team plays in a stadium that holds 70000 spectators. With the ticket price at $9 the…

A: A baseball team plays in a stadium that holds 70000 spectators. With the ticket price at $9 the…

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Find the following limit. Tim 8-1X 45√x-4√x 75√x+3√x lim 8-X 45√x-4√x 75√x+3√x 勾 (Simplify your…

A:

Q: Find dy dx y=9lnx+5 loggx

A: dy/dx=9/x + 5/(x*ln9)Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Use a sketch to find the exact value of the following expression. tan cos 10 26 Which of the…

A: Answer:Option C. The correct triangle to find the value of the expression is Option C. Here's…

Q: Find the value of (fog)' at the given value of x. Assume that f'(3)=6, g'(4) = -5, g(4)=3, and y =…

A: Given data

Q: Let P = (a, b, c), Q = (b,a, c) and R = (c, b, a), where a, b, c € Z. Find the vector equation of…

A: The whole answer is as follows: 1. Given points P, Q, and R, we aim to find the vector equation of…

Q: Let 60, 61. What is the derivative of the function y = log(x)? 1 -In(x) In(b) b* In(b) 1 In(b) X e*…

A: Option C is the correct option.ln(b)⋅x1​ Below in the explanation part there is detailed solution of…

Q: +0+x (4) lim xx

A:

Q: I+t #1 Let r(t)=(x(t), y(t), z(t)) = (1-{², t- ½, ±). (a) Find the moment of time to and the point…

A: Image attached.Explanation:a)  b)

Q: Solve the following logarithm equation. There will be two integer solutions - one w be a valid…

A: The given equation is

Q: Which of the following lines is perpendicular to the line (10,-6,-3)+s(1,2,-2), s ER - b.…

A: 1. Option (d) 2. Option (c) Explanation:Step 1: Step 2: Step 3: Step 4:

Q: What does the funtion N = grad(s) mean.  What does grad do ?

A: The function N = grad(s) is a mathematical expression that is used in the field of calculus,…

Q: Are these lines parallel, -2_2-1 -2 2-1 and -1+3 Explain. -2 10

A: Yes, the given lines are parallel.Explanation:Step 1: Given,…

Q: Match the following log expressions to their correct evaluation. 1. 5 1+In(e²)-3log2(4) In(e³) 2. 4…

A:

Q: Module Two Discussion Question: Solve the problem below. For your initial post in Brightspace, copy…

A: Part A:  To find the domain of A(r), we need to determine for which values of r the function A(r) is…

Q: A box is contructed out of two different types of metal. The metal for the top and bottom, which are…

A: Let x be the side length of base square Let z be the height of the boxThe figure of box

Q: Find the volume of the solid that results when the region enc y = √√√x, y = 0, and x = 100 is…

A: y=√xy=0 and x=100About the line y = 10

Q: Find dy x = p² y = 7-8t Select one: a. dy dx O b. dy ○ c. ။ *| dx dy dx O d. dy dx 16 81 18 I dy…

A:

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: A 10-ft ladder is leaning against a house when its base starts to slide away.By the time the base is…

Q: - #13 Given z= f(xy) = ex+2y= en (-x-y) +xy² a) Evaluate f(-2, 1), (b) Estimate the "error" in the…

A: a) -1b) (-1.15,-0.85)Explanation:a)  b)

Q: Find the normal form of the equation of the plane that passes through P = (O, - 2, 5) and is…

A: The normal form of the equation for the desired plane is:6x−y+2z=12Explanation:To find the normal…

Q: A company selling widgets has found that the number of items sold, a depends upon the price p at…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: f′(x)=−(3x−5)23​Explanation:Step 1:Step 2: Step 3: Step 4:

Q: If possible, find the number k so that f is continuous at every point. 3x+3, x<-2 f(x)= kx+6, x≥-2

A:

Q: Differential equations have been used extensively in the study of drug dissolution for patients…

A: Answer is given below:  Explanation:Question 1:Answer:

Q: Find all the first and second order partial derivatives of f(x, y) = 3 sin(2x + y) - 3 cos(x − y).…

A:

Q: Make a sign diagram for the derivative of the function: f(x) = −x4 + 4x3 − 4x2 + 5

A: The objective of this question is to create a sign diagram for the derivative of the given function.…

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: Given that when air expands adiabatically (without gaining or losing heat), its pressure P and…

Q: A curve has an equation  y=2x2+5x+c where c is a non-zero constant. Given that the roots differ by…

A: ANSWER: c = -11/8Explanation:To find the answer, first we must find the roots of the quadratic…