A. Find the equation of the line that passes through the points A(1,-1,1), B(1,2,0).

Q: A direction vector of the line passing through the points A (3,-1,-2) and B(-1,2,1) is <-4, 3,3). •…

A:

Q: tan-1(x) sin x f(x) = 1 for x 0, for x = 0, x²ln(-x)+x+1 for x < 0.

A: f(x) is a descrete functionWe have to find f(x) is continuous and differentiable at x= 0 or not

Q: Give the probability distribution for the indicated random variable. (Enter your probabilities as…

A: The probability distribution of X is shown below.x23456789101112P(X=x) 1/36 2/363/36 4/36  5/36 6/36…

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: At what nominal rate compounded continuously must money be invested to double in 2 years? A rate of…

A: The objective of this question is to find the nominal interest rate that would allow an investment…

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: Əz Əz Use the chain rule to find and მs at u z = tan u = 7s + 9t, v = 9s - 7t V Əz II as дг at =

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: 15. Sketch the graph of a continuous function f with: (a) f(1) = 3, f(1) = 0 and the point (1,3) a…

A:

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: 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: 10 m₁-m 2 = 5 m₁+ m2 1 Solve for m₁

A:

Q: Find all solutions of the elation in the interval [0, 2π). cos 0-1=-1 Write your answer in radians…

A: The equation in the interval [0,2 pi).cos theta - 1 = - 1 Add 1 both sides, we get theta =0

Q: For what value of a is the following function continuous at every x? x²-13, x<13 f(x)= 2ax, X≥13…

A:

Q: Let f(x,y) = x2+2xy-2y2-10x. What are the critical points, and the saddle point(s), local…

A: ​Saddle point at (310​,35​)No local maximum, No local minimum​Explanation:Step 1:​Given a…

Q: 0 218 X 17 (2) 600 x 38 131 784 X 44 147 664 X 18 15746X1

A: We need to perform multiplication.

Q: 2 Find the point on the sphere x²+ y²+z²=4 farthest from the point (1,-1,1)? ans.i- 2 (금) v i

A: Let the point  on the sphere which at largest distance from the point By using distance formula Let…

Q: Let : DCR² → R³ be a nice parametrization of surface S. We introduce the following notation: (a)…

A: Certainly! Here are the final answers for each part:(a) The formula ∣∣Tu×Tv∣∣2=EG−F2provides an…

Q: What is the rate of depreciation (in dollars per year) after 5 years? The salvage value S (in…

A: To find the rate of depreciation after 5 years, we need to calculate the difference between the…

Q: round to one decimal plce.

A: To solve this problem, use the formulas for continuous compounding and annual compounding to…

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

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

Q: Use a half-an le formula to find the exact value of tan 105°. tan 105° = 0 G

A: .

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

A: Answer : 536.4793  (Rounded to four decimal places)Explanation: Given,  e0.006x=25 Logarithm on both…

Q: Find the length of the arc of the curve y = ln x over the interval: [1,4]. Round the answer to four…

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: 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: John is floating on a tube in a wave tank. At t 1 second, John goes over a wave at a maximum height…

A: We need to solve the sinsoudial model problem.

Q: Let f (x) = X 5 -4x+10 + if x 2,0, -5 x(x-2) if x = 0 9 if x = 2 if x = -5 (a) Classify all the…

A: The function is given by:

Q: Consider the definite integral Cx3 dx 0 How many partitions would be needed to approximate this…

A: The given integral is The error bounds for the midpoint rule If  and  be the error in the mid point…

Q: Chow is it called, #8 Given the surface x²+ y² = Z² Sketch in 2D the level curve 4 corresponding to…

A: The surface x² + (y²/4)= (z²/9) is an elliptic paraboloid.The level curve for z=12 is an ellipse…

Q: Find the arc length of the curve on the given interval. x²,y=141, 0 ≤t≤7 Select one: O a.…

A: Given the parameteric form of a curve.

Q: Use the One to One Property of Exponentiation to solve the following exponential equation. Input…

A: 23x= 41+xWe have to find value of x using one to one property of exponential

Q: If x3+y=7, find the value of d²y dx2 at the point (-1,2). d2y The value of at the point (-1,2) is…

A: Given:To find:The value of  at p[oint (-1, 2)

Q: 4. [10 pts] The function Am is defined by Am(t) = A+ Blog(x + 10). The graph of the function goes…

A: A = -1.64386A=log20−15log20−7​ B = 6.64386B=log20−12​  Explanation:Step 1: Step 2: Step 3: Step 4:

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: #3 Given f(x, y)=3x-1, Po (2,-1) (a) find f(xy), (b) evaluate of (2,-1), () find | f (2,-1), (d)…

A: Ans 3 (a): ∇f=⟨∂x∂f​,∂y∂f​⟩=⟨3,y21​⟩ (b): ∇f(2,1)=⟨3,1⟩  (c): ∣∣∇f(2,−1)∣∣=(3)2+(1)2​=10​   (d): The…

Q: Find the slope of the curve at the given point P and an equation of the tangent line at P. y=x²+5x,…

A:

Q: A construction firm wants to buy a building site and has the choice between three different payment…

A: Since you have at least $67,000 available for a cash payment, option (a) might be initially…

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: Solve 8 sin ( X 4 for the four smallest positive solutions

A:

Q: Find f'(x). f(x)=2x-Inx³

A: f′(x)=2−x3​Explanation:

Q: Evaluate the integral. (Use C for the constant of integration.) COS dx

A: To evaluate the following integral.

Q: 11+2i/4+3i

A: The expression in a + bi form is: 2−iExplanation:The given expression is: 4+3i11+2i​ First, multiply…

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

A: The objective of the question is to find the derivative of the function y = 9ln(x) + 5log(g(x)) with…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -6 x…

A:

Q: I have enough pure silver to coat 3 square meter of surface area. I plan to coat a sphere and a…

A: Given:Enough pure silver to coat 3 square meters of surface area is present. The plan is to coat a…

Q: Determine the limit by sketching an appropriate graph. √1- 0sx < 1 lim f(x), where f(x)= X-1 1 1sx <…

A:

Q: | x- and y-intercepts Z #9 Find f (x,y,z) if f(x,y,z)= 32²x² - 13y²+212 Pzy +XZ хуг у de ху

A: fzy​=(x2+y2)22y​−y2x​Explanation:Hope it helps youplease ask if you gets any doubt please give your…

Q: G=4/5 - 1/3 x 2/15 + 4/45

A: We need to find value of G.

Q: If 0=28°, find the distance between two cities, A and B, to the nearest mile. The radius of the…

A: The objective of this question is to find the distance between two cities, A and B, given the angle…

Q: Match each of the trigonometric expressions below with the equivalent non-trigonometric function…

A: Correct matches are:A. 3 B. 1 C. 5 D. 4 E. 2Explanation:A.  tan⁡(arcsin⁡(x/3)) corresponds to option…