1. Find an equation for a parabola with focus (– 10, 7) and directrix x = - 6.

Q: Find the profit function for the given marginal profit and initial condition. Marginal Profit…

A:

Q: Conjecture a formula for f'(a) that depends only on the value a. That is, in the same way that we…

A: Given that, fx=4x-x2 We need to compute the value of f'a.

Q: cos e d0 Jo 1+sin? A 2

A:

Q: equation for the hyperbola with foci (0, ±5) and with asymptotes y = +x. ind an

A:

Q: ||r'(t) × r"(t)|| Use the formula k(t) = to find k(t). ||r(t)||* r(t) = ei+ e*j K(t). ||

A:

Q: Convert the point from spherical coordinates to rectangular coordinates. (2플) (х, у, 2) -

A:

Q: What is the difference between contanity? Unforly contanity ?

A: This question is from real analysis & our topic is uniform continuity .

Q: Evaluate the integral. 3 if -2 < x< 0 f(x) dx where f(x) | 4 – x² if 0 <x< 3

A:

Q: An automobile traveling at the rate of 20 m/s is approaching an intersection. When the automobile is…

A: This question an be solved using the concept of rate of change of physical quantities.

Q: Q10. For the function f(x, y) = x³e³y_find the maximum value of its directional derivative at the…

A: Here, f(x,y)=x3e3y⇒∇f=∂f∂x,∂f∂y=3x2e3y,3x3e3y⇒∇f(1,0)=3(1)e0,3(1)e0=(3,3)

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). 13 ||r(t)| r(t) = t'i+ t'j K(t) :

A: Using given formula,

Q: In a recent survey, 52 said they had a dog, 64 said they had a cat and 25 both pets. How many…

A:

Q: 12 Given: F : =â, determine F•â. 2

A: r→=xa^x+ya^y+za^zr=x2+y2+z2a^r=r→r

Q: Find the limit. lim (t i - 7 j+1² k) t-5 lim (t i - 7j+ k) i+ i j+ i

A:

Q: 7. The ellipse with the equation y2 = 1 is rotated about the x axis to form a solid shape. A…

A: Given:  An ellipse:x252+y242=1  , rotated around x-axis. A cylinderical hole of radius 2cm along…

Q: m²-m Find S (m1) dm

A: Given; I=∫m3-m-1mdm   As we know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule;…

Q: Find the average value fave of the function f on the given interval. f(x) = 18x – x², [0, 4] fave…

A:

Q: If the angle between the vectors A = xâ, +â̟and B = /3â, +â, is 60°, find x.

A:

Q: JoFe is going to Fusion Plex to watch one movie. His choices of genre are "action", "horror" or…

A: topic - combination and permutations

Q: 0 and the length of the indicated Find the arc length parameter from the point t portion of the…

A:

Q: Find the differential of each function. (a) y = tan 3t dy =

A:

Q: Find a power series representation for the function. Determine the interval of convergence. (Give…

A: Given f(x)=58-xwe know that the power series11-r=∑n=0∞ rn

Q: Scsc" 2 ede 4 CSC

A:

Q: Q3) Evaluate triple integral f, (x2 -y²)dz dx dy.

A:

Q: Dix) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: f(x) = 2sinx-x3ex 1. What is the first derivative of the equation? 2. What is the second derivative…

A:

Q: t $14.15, the demand (customers) for UB-shirts is 400. When the price increases to $15.25 the demand…

A: Given query is to find the demand at given point.

Q: sec(tan(2x)) – 4 6. dx (cos(2x))? 8. / e*-* dx T e3x-e3x

A:

Q: Q2) Solve the D.E xdy + (2y-x+ 3x)dx 0

A:

Q: 34 10- Find equation of tangent line at the point (0, T) for Cos (7x- y) %3D 4y

A: Solved below

Q: Evaluate: S Vx(x - 5)dx

A:

Q: ||r(t) x r"(t)|| ||r'(t)|³ Use the formula k(t) to find k(t). 13 r(t) = 4 cos(7t)i+4 sin(7t)j+ 3tk…

A: A detailed solution is given below

Q: 2. For the parametric curve defined by: x(t) = t2 + 4t + 2 y(t) = t³ + 2t2 + 4t + 1 (a) determine…

A:

Q: For the following conditions, where "x= number of roses" and "y= number of daisies", determine…

A:

Q: ¤(x+4)~²dx

A: Here we have to find the given indefinite integrals.

Q: 12. L(s? – 1) sds 13. (1² – #) dt

A: ∫xndx=xn+1n+1+C , C is a constant for any real number n.

Q: Find the particular solution of the following ODE given that y(0 d’y +y=e* dx

A:

Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

A:

Q: 8. A truck is to be driven 135 km at a constant speed of x km/hr. Speed laws require that 50<x<100.…

A:

Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). ||r'(t)||³ r(t) : = 11 cos(3t)i +11 sin(3t)j +…

A:

Q: Q11. Suppose z = f(x, y), x = g(t), and y = h(t) satisfy: h(7) = -2 h'(7) = 1 f-(2, –2) = 2 fy(2,…

A: Suppose z=fx, y, x=gt, and y=ht satisfy: g7=2, h7=-2, fx2, -2=2g'7=-3, h'7=1, fy2, -2=0By using the…

Q: e Newton's method to approximate a root of the equation 5x+ 7x +3 = 0 as follo 1 = -1 be the initial…

A: answer is in next step

Q: Calculate the higher derivative. (Use symbolic notation and fractions where needed.) d? 8 cos (1) =…

A: To find,  d2 dt28 cos2(t)

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for tN 0. Then the integral L{f{t)}…

A:

Q: 10 Consider the function f(x) Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(z)

A:

Q: Evaluate the indefinite integral. x2 dx 0.2x3 + 2.7 + 2.7

A: topic - indefinite integral

Q: 4. Below is a photograph of the Eiffel Tower in France. On it there is a red parabola and purple…

A: the pair of equations can be x2=-8(y+30)      ... Parabolax236-y2169=1    ........ Hyperbola

Q: am dA y² dx + x² dy = / / ( - əx ду for the given path. hC: rectangle with vertices (0, 0), (2, 0),…

A:

Q: A bacteria culture is growing at a rate of r(t) = 8e0.6t thousand bacteria per hour after t hours.…

A:

Q: Find the average value gave of the functiong on the given interval. g(x) = 3x, [8, 64] gave %3D

A: