Give the parametric and symmetric equations of the line that passes through the point (2,6, –1) and is perpendicular to both vectors (-4, 3, –5) and (5, –1, 3).

Q: Vx + 32 - 5 Limit. lim x--7 X + 7 O 0.1 O Does Not Exist (DNE or tco) O 10 O 1.4 O 5

A:

Q: Find the exact length of the curve. x- 2, y =? - 2, Osts9

A:

Q: Find an equation for the ellipse. Graph the equation. foci at (0, + - 1); length of major axis is 18…

A: We have to find the equation of an ellipse

Q: Below is the graph of a piecewise function f(x). y 2 1 X -6 -5 4 -3 -2 -1 -1 2 3 4 5 6 1 -2 -3 y =…

A: According to guidelines, answers for first three subparts are provided. Please repost the remaining.…

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). f(C) = - (x + 1) (x² + 1) (3x² –…

A:

Q: A box with a square base and open top must have a volume of 442368 cm³. We wish to find the…

A: Solution: Let x be the side of the square while y be the height of the open box, then as per the…

Q: Find the absolute maximum and minimum values of the function over the indicated interval. f(x) = 2x2…

A:

Q: Given the following general solution 2(R + 1)(R + 3) A (a+ 1) - 5 (R – 1) A] x" = 0 R = 1 If we…

A:

Q: A nursery has determined that the demand in June for potted plants is The cost of growing x plants…

A:

Q: evergreen nursery usually sells a type of shrub after 5 years of growth and shaping. The growth rate…

A: Given query is to find the height function and the height of the shrubs when the sold.

Q: Find the equation of the tangent line to the curve (a lemniscate) 2( +y) = 25(x - y) at the point (-…

A: 2(x2+y2)2=25(x2-y2)2(x4+y4+2x2y2)=25x2-25y22x4-25x2=-25y2-2y4-4x2y22x4-25x2=-25y2+2y4+4x2y2different…

Q: dx 17 + x2 dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = x²+Vy The domain of…

A:

Q: Vtan(7x) sec?(7x) dx

A: Given query is to find the integral of the expression.

Q: Find the volume of the solid generated when the area bounded by the given curves and lines is…

A:

Q: The one-to-one functions g and h are defined as follows. x+13 g(x) = 11 h={(-8, 5), (4, 9), (7, -2),…

A: Simplify the equation and solve for x for inverse function.

Q: 5 x - 2 Horizontal Asymptotes. Find the horizontal asymptote of f(x) = 4 x2+5 x-2 O y = 0 There is…

A: The given function is: To find the horizontal asymptote.

Q: 2. In addition to obtaining the domain and range, provide a sketch of the graph of the following…

A:

Q: A Ball is lauhched štraight up in the air from a height of 5 feet. Its velocity (feet/second) t…

A:

Q: given f (x) = 3/5 cos (6x), what is the largest possible value for f (x)?

A: Given query is to find the largest possible value of the function.

Q: 4. Determine if the Mean Value Theorem can be applied to the following function on the the given…

A: The given function,  f(x)=x1+x

Q: For the graph of y = f(x) shown to the right, find the absolute minimum and the absolute maximum…

A: The absolute maximum of a given graph is the point on the entire graph with the highest y-value…

Q: 1/4+1/5-1/6+1/7-1/8

A: Given, -1/4+1/5-1/6+1/7-1/8

Q: Let g(x) = :| f(t) dt, where f is the function whose graph is shown below. What is the value of g'…

A: Let gx=∫0x ft dt, where f is the function whose graph is shown below.To determine the value of g'8.…

Q: at = 5? What is the instantaneous slope of Y = %3D - 25 25 15

A: A detailed solution is given below

Q: Profit. Suppose the profit of a product is modelled by the function f(x) = 2x3 – 27x² + 108x + 5 The…

A:

Q: Sketch the region R of integration and switch the order of integration. IT rx, v) dx dy 3 У 2 3 3- 3…

A:

Q: 3x2 — 9х + 11 2х + 4

A: Given query is to find the derivative.

Q: Profit. Suppose the profit of a product is modelled by the function f(x) = 2x3 – 30x² + 126x + 3 The…

A: First we find critical points then check absolute maximum values.  Answer is maximum value is 165 at…

Q: Y1 = Y2 Y2 = -Y1 OA. y1 = sin(x) + cos(x) OB. Y1 Y2 = cos(x) – sin(x) = etr Y2 = Y2 = e? Y2 = cos(x)…

A:

Q: Find the area of the triangle with vertices P(1,3,–2), Q(0, 0,0) and |R(3, 5, 1). NOTE: Enter the…

A:

Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

A: Given integral ∫13 2x+6x2+6x+2 dx

Q: 6 Tangent Line. If p(x) = 5x² + 5x4 + 4 %3D Then the equation of the tangent line to the function…

A:

Q: ) t) P(t) = Poe(In(2) · where t is the number of subdivision periods (time), and P(t) is the size at…

A: Suppose a value was A and is now B, we work out the percentage increase (or decrease) as follows:…

Q: Tangent Line. If p(x) = 3x² + 2x4 + 8 + 2 Then the equation of the tangent line to the function p(x)…

A:

Q: 2x 14x + 20X Limits. Evalute lim X-5 rounded to 4 decimal places x2 - 6x + 5 O 0.1333 O 1 O 0.5 O 2…

A: We can find the limit as below.

Q: The intermediate value theorem can be used to prove that the equation x^2+7x+6=0 has at least one…

A:

Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2.…

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A:

Q: 17. Given a demand function, p=v15x + 0<x<65, find the value of x x- 65 Use R=xp that produces a…

A:

Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and…

A: Given:  a(t) = -cost i- sint jv(0) =j+k, r(o) = i

Q: Implicit Differentiation. The demand equation for a certain brand of two-way headphones is 2x3-6xy +…

A:

Q: Interest Formula. Suppose you work at a bank and the manager provides a new type of formula to…

A:

Q: Suppose the price of land in a city is given by the function P(x,y) = 227 – 10( x - - 15(y – 1)²…

A:

Q: (24a²x + 8ay?)i + (82³ – 2ay)j – (2z + 8x² + 8y?)k. (a) Find the value(s) of a making div F = 0 a =…

A:

Q: Differentiate the function f(x) = x^1/3 f'(x)=

A: Given query is to find the derivative of the expression.

Q: (a) Find the numbers at which the following function y =f (x) is discontinuous. And at which of…

A: We have to find the continuity and discontinuity points. According to our guidelines we can solve…

Q: Choose the point which shows the correct location for the polar coordinate (3, –45°). 90° 512 WIN 4…

A:

Q: Solve the given differential equation by variation of parameters. y" - y' = xe*

A:

Q: graph of the function arccsc( x

A: We can graph the function as below.