#2 Find parametric equations of the Line through point Q (3,-1,5) perpendicular to the plane x-y+2z=4/

Q: (b) Consider the vector valued function r = (1 - t)i + (1 - t)i+ (1-t)k, 0≤t≤1. What curve does this…

A: The objective of the question is to identify the curve that is parametrized by the given vector…

Q: Solve the following system of equations using any appropriate method of your choosing: • x-y+z=8…

A: The correct answer is:(x,y,z)=(3+2z,-5+3z,z)Explanation:

Q: Two helicopters leave a heliport at the same time. The first flies 190⁢km/h in a direction of 290…

A: The distance between the two helicopters after three hours is 369 kilometersExplanation:Step 1:…

Q: The velocity of blood through a vessel is given by v = K(R² - 2), where K is a constant, R is the…

A: The required volume is:V=0.05 cm3Explanation:The given expression for the volume is: V=∫0R​v(2πr) dr…

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

A: The objective of this question is to calculate the work required to pump all the liquid out of a…

Q: Let 60, 61. What is the derivative of the function y = b²? In(b) -In(x) 1 1 In(b) ○ b* In(b) eIn(b)…

A: Option (c) is the right answer. Explanation:

Q: Find f'(x). f(x)=3x-2 Inx 7 f'(x)=

A: (.) The given function is,              we find derivative of given function.

Q: Q1 The price of selling x units of item is p(x) = 56 - x. The total cost of producing a items is…

A: Question No. (1): The price of selling x units of item is . The total cost of producing x items is…

Q: Do not round until the final answer. Then round to the nearest hundredth as​ needed.

A: Answer:  t≈54.93Explanation:Step 1:

Q: Q.2

A: The answer is given below.Explanation:

Q: Find the average rate of change of the function over the given intervals. 10x)=5x+5; a) [1,3],…

A:

Q: Use a sketch to find the exact value of the following expression. tan cos 16 20 Which of the…

A: Answer Option D is correct sketch. tan(arccos2016​)=43​Explanation:For any query with the solution,…

Q: X -3 = 5x² + xy² + y³, a = น y (5 points) Suppose f Compute the gradient of f at a. Vf(a) = Compute…

A: ∇f(a)=[−29−3​] The Directional derivative of f at a in the direction of v [5​29​5​−6​​] C=43…

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: Do not round until the final answer. Then round to the nearest cent as​ needed.

A: A thorough explanation is provided below.   Explanation:                                  So, the…

Q: Find the first partial derivatives of f(x, y, z) = z arctan (1) at the point (1, 1, -5). af A. of…

A: A)25​B)−25​ C)4π​Explanation:

Q: A man with $20,000 to invest decides to diversify his investments by placing $10,000 in an account…

A: The Data:We have two investments:Account 1: $10,000 at 5.2% compounded continuously (graphed as a…

Q: sine and cosine to which variable it should correspond to?

A: Clockwise Motion: If a particle moves clockwise around a circle, the angle it makes with the…

Q: Two forces, one of 35 pounds and the other 50 pounds, act on the same object. The angle between the…

A: The objective of this question is to find the magnitude of the resultant vector of two forces acting…

Q: 1an with a₁ = 2, an+1 = an with a₁ = 3, an+1= 1+sin(n) n 3n-1 2n+5 an an v. vi. n=1

A: (v) Given that the series is                  Thus, the series is convergent by the ratio test.

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Therefore, the value of k that will make the planes π1​ and  π2​​ perpendicular is k=6.Explanation:

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: The function P(x)=-1.5+ 300-6000 gives the profit when units of a certain product are sold. Find a)…

A:

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: The rate of depreciation of a building is given by D'(t) = 5000(10) dollars per year, 0 < t < 10;…

A: Please refer to the explanation, THANKYOU !!Explanation:

Q: No hand written responses. Please provide a step by step detailed explanation (in laymen terms) on…

A: The break-even point is x=407.46.Explanation:To find the break-even points, we need to set the total…

Q: The velocity of water ft/s at the point of discharge is given by v = 14.640-√P, where P is the…

A: The velocity of water in​ ft/s at the point of discharge is given bywhere P is the pressure in…

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: Find the fourth degree Taylor polynomial, P4(x), for f(x) = ln(x + 1) centered at x = ( = 0.

A: f(x)=ln⁡(x+1) centered at x=0.Taylor series centered at x=a is given as f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: ☐ Let 60, 61. Which of the following must be true if y = log(x)? Check all that apply. ☐ y = b² 1 y…

A: Option C is correct Option D is correct Explanation:

Q: Suppose you need to know an equation of the tangent plane at a surface S at the point P(3, 1, 4).…

A: Answer is given below:  Explanation:Question 1:Answer:   Now 50 %D -S&gt; Univen It) - 24+ 21 , 1 -…

Q: Find all points where the function is discontinuous. 6 4 2- X 2 6 18 Q OA. x=2 and x = 4 OB. x=2 OC.…

A: As  is included in the domain   : Defined Function is continuous at x=2

Q: Evaluate √ x²ekx dx. (Helpful hint: √ ekx dx = €** + C) ekx k

A: To evaluate the following integral.

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

A:

Q: Find the indicated partial derivative. f(x, y) = 5xy⁹ + x³×8 fxxy = fyyy =

A: fxyy​=360y7+168x2y6fyyy​=2520xy6+336x3y5Explanation:Given the function,f(x,y)=5xy9+x3y8 Finding the…

Q: Find f'(x). f(x)=9x²-3ex

A:

Q: Given the graph of f, find any values of x at which f' is not defined. Q 2 G OA x=-2,2 OB. x=2 O c.…

A: The derivative of the function is undefined when:The function has a vertical asymptote.The function…

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: Determine the solution to the following system: 3x+20y8z = 15 20x+15y-7z = 28 6x+5y-4z = 7

A: The solution of the system of equations is:x=1y=1z=1Explanation:The given system of equations is:…

Q: Answer can’t be decimals, please don’t give the decimal answer

A: Therefore, the murder took place approximately 1.886 hours before 1:30PM, which is about 1 hour and…

Q: A nose cone for a space reentry vehicle is designed so that a cross section, taken x ft from the tip…

A:

Q: Find the derivative of f with respect to x of f(x) = In x 12

A: The objective of the question is to find the derivative of the function f(x) = ln(x^12) with respect…

Q: dx Assume that x = x(t) and y = y(t). Let y=x3+2 and =5 when x=3. dt dy Find when x=3. dt dy…

A:

Q: A curve is specified as y = 4x √ x² +6 x-axis between x = 1 and x = The region of the xy-plane…

A: Answer: 2.24Explanation:

Q: Use the Product Rule to find f'(1) given that f(x)=x³ex

A: f(x)=x3ex

Q: If possible, can you provide me with a summary (2-3 paragraphs) that explains surfaces, functions of…

A: The objective of the question is to understand the connection between surfaces, functions of…

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t³…

A: Ans:Detailed answers in explanation please referAny confusion please ask in clarification will…

Q: The region between the lines y=2x, y=x/3 and x=3.

A: Detailed solution of the problem is given below. Explanation:Step 1: Step 2:

Q: For time t = 0, the velocity of a particle moving along the x-axis is given by v(t) = cos(8e-0.2t).…

A: Given that the velocity of a particle moving x-axis is and initial position at

Q: Hello  I got this answer, but part of the explanation was cut of.  could you help with the missing…

A: Certainly, I can help you with the missing parts of the explanation, and explain how z = u and x = u…