Complete the parametric equations of the line through the point (5,-1,8) and perpendicular to the plane - 8x + y = 3 (t) = 5-8t y(t) = z(t) = T

Q: Find the particular solution of the given ODE. * (y-√√x² ² + y²) dx − xdy = 0 when x = √√3, y = 1…

A:

Q: 3: Sketch the following curves and indicate with arrows the direction in which the curve is traced…

A:

Q: Given f (4) = 4, f' (4) — 10, g (4) = −1, and g′ (4) = 6, find the values of the following. (a) (b)…

A: Given: f(4)= 4,f'(4)=10g(4)=-1g'(4)=6 To Find : a) (fg)'(4)b)fg'(4)

Q: Find the solution of the given ODE a. 1 - 2 = Cx b. 1 + (-)² = Cx c. 1 - * = Cx y d. 1 + (-)² = Cx…

A:

Q: Evaluate the integral. √²14-8 0 (4 - 8v³ + 16v7) dv

A: Given that  a integration and we solve this use by  general property of Integration. We know that…

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) cos(s) d's Ludu = -9

A:

Q: 1. (6xy-3y² +2y)dx+2(x − y)dy = 0

A:

Q: Consider the function f(x) = 4√x + 1 on the interval [3, 7]. Find the average or mean slope of the…

A:

Q: Given the function g(x) 4x³ - 30x² + 72x, find the first derivative, g'(x). g'(x) = Notice that…

A:

Q: Ash deposits $1500 at the end of each month for 5 years in an account that earns 5.7% per year…

A: Solution- Given R=$1500 Rate(r)=5.7% or 0.057 Time(t)= 5 year n=12(compounded monthly)   Formula is…

Q: Which one of the following canNOT be evaluated using L'Hopital's Rule? limg-00 lim, limg-00 limg-00…

A:

Q: Sketch the area represented by g(x). O O O O g(x)= Find g'(x) in two of the following ways. (a) by…

A: To sketch the area represented by gx.gx=∫1xt2 dtTo find g'x in two of the following ways.a by using…

Q: Jacky plans to save $250 000 over 15 years. He saves making regular monthly deposits in an account…

A: Formula- R=FV×i1+it-1 ⇒FV=Future value⇒i=rn, r=rate of interest , n =compounding period⇒R= Monthly…

Q: у

A: From the graph of given function

Q: Solve for the general solution: (D² - 5D + 6)y = 0. Oy=c1 e^(2x) + c2 e^(3x) Oy=c1 e^(-2x) + c2…

A:

Q: Solve and get the solution of the given differential equation using variation of parameters method…

A: The given differential equation: y''+4y'=8+34cosx ; y0=3, y'0=0.We need to solve the above…

Q: Solve for the particular solution: (D2 - 5D + 6y) = 6x²-4x+9. O yp= -(1/6)x^2-x-2/3 O yp = x^2+x+2 O…

A:

Q: Make a sign diagram for the derivative of the rational function. 8x 2 X +1 f(x) =

A:

Q: Using the appropriate substitution, what is the homogeneous form of the given ODE. (x - 2y + 4)dx +…

A:

Q: | 2.x √√2x-1 dx

A:

Q: Find sin 2x, cos 2x, and tan 2x if sinx= 1 10 and x terminates in quadrant II.

A: To find the value of given trigonometric ratios

Q: Rewrite sin (2 tan ¹4v) as an algebraic expression in v.

A:

Q: ( Find the gradient of f at the point (2, -3, -2). ( - (4/√21, 2/√√21, -1/√√/21). u= > Find the rate…

A: The given function is; f(x,y,z)=xy+yz2+xz3 And the point is (2,-3,-2).

Q: In a certain state the maximum speed permitted on freeways is 75 mi/h and the minimum speed is 50…

A: We have to graph the function.   According to our guidelines we can solve only one question so…

Q: In 1991, the moose population in a park was measured to be 3350. By 1997, the population was…

A: population in 1991= 3350  population in 1999 = 4550 number of years = 1999-1991 = 8 years so we…

Q: Derive the terms up to and including 5 of the Maclaurin series for f(x) cos 2x - sinx.

A:

Q: Solve the intitial value problem. y' = (1-2y)e y(0) = 2. y =

A:

Q: Sketch the region given by the set. {(x, y) | y <5} U -10-9-8-7-8-5 -14 -3 -2 10 0 8 7 6 6 4 3 2 4 6…

A: Given: Sketch the given by the set.{(x,y) | y&lt;5}

Q: Rewrite sin (2 sin¹6w) as an algebraic expression in w.

A:

Q: Determine the different possibilities for the numbers of positive, negative, and nonreal complex…

A: We can solve the given problem by using the Descartes rule of signs.

Q: 3. Find value(s) of a and b so that the planes 2x+y-z = 0 x+2y+3z = 0 3x+ay+2z+b=0 (a) intersect in…

A:

Q: Find an equation of the form y= f(x) for a curve with x-intercept 0 whose tangent line at any point…

A:

Q: Suppose that Find f'(x), and use interval notation to give the domain of f. Note: When entering…

A:

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.​…

A:

Q: For the graph, which of the numbered points are inflection points? (Enter your answers as a…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the function is concave up…

Q: O O 0 -1 -2 Find lim T 0 2 Nonexistent -sin 20 Cos

A:

Q: The Squeezing Theorem: Given a sequence {an}, suppose that there exist two other sequences {b} and…

A: we need to find the conclusion of squeezing theorem.

Q: 29) lim f(x)= 30) lim f(x)= 31) lim f(x) = 32) f(-8)=

A:

Q: a) Evaluate the limit of the function your reasoning. b) sin(x) - - X x³ Find any points on the…

A:

Q: n 3 3 3 = ² [3(4 + (−1)²) * - 8 (4 + (6 − 1)-²)] 2 (i (i . i n definite integral, that is provide a,…

A:

Q: A solid lies between planes perpendicular to the ar-axis at az = 0 and x = 3. The cross-sections…

A: Given that , y=x , y=-x , 0≤x≤3

Q: Let u = (1, 0, - 5) and 7 = (3, 7,-6). Compute the following: ú. v = v. u= ||*||2 - 10(u. v) = = -…

A: Explanation of the answer is as follows

Q: Let p = ln(M) and q = ln(N). Express In(M²N6) in terms of p and q. Select all that apply 1. 2. 2 6…

A:

Q: A company's average cost per unit when x units are produced is defined to be Total cost Average cost…

A: A company's average cost per unit when x units are produced is defined to be  Average cost = Total…

Q: 6. Consider the function: f(x)=√10x² + 20 Step 1 of 2: Determine the intervals on which the function…

A:

Q: SOLVE: (x² + y² +1)dx + x(x-2y)dy=0

A:

Q: The graph of h(x) = ² is transformed into the graph of y = g(x), whose equation can be written in…

A: We need to find transformation function.

Q: ㅅ

A: see below the answer and explanation

Q: Solve for the general solution: (D³ - 2D²) = 0. Oy=c1 e^(-2x) + c2 xe^(-2x) + c3 x^2 e^(-2x) O y=c1…

A:

Q: Evaluate the difference quotient for the given function. Simplify your answer. f(x) = -x³, f(a + h)…

A: Topic = Function