Solve (cosa + ln y)dx + Y +edy = 0

Q: Evaluate the function f(x) at the given numbers (correct to six decimal places). f(x) = x² - 8x…

A: The function is given as , fx=x2-8xx2-x-56

Q: Find the radius of the sphere which passes through the point (−1,4,3) and has center (8, 1,3).

A:

Q: If f(x)=12pi^7, then what is f'(x) equal to?

A: We are given  f(x) = 12pi^7 derivative of constant is zero

Q: 4. y = cos and y = 0.5, for 0 ≤0 ≤ T f(0) = cos 0 -2 0.5 0 -0.5- -1+ + 1 g(0) = 0.5 + 2 3 40

A: Given: Here, we need to find the area between the curves f(θ)=cos θ  and  g(θ)=0.5. Now,…

Q: a parabola which opens downward with endpoints of latus rectum in (-3,3) and (3,3) what is the…

A:

Q: 8. y=(x-2)², y = x + 10; about the x-axis

A: Given y = ( x - 2 )2 y = x + 10 about x axis

Q: How fast is the tomato travelling when it hits the ground? units: feet per second ✓ OF Question…

A:

Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

A:

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A:

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: Given f(x) = 8x² sin x + 13x-7, find f'(x). f'(x) =

A:

Q: Use the formula for K to find the curvature of y = In (sin x), 0<x<* Show that the curvature is zero…

A: Given function:- y=lnsinx ,0&lt;x&lt;π

Q: 3. (1+4e3x)³ e3x dx

A:

Q: For what value of a will the vector (2, 4,-5) and (-4,-8, a) be parallel?

A: Given query is to find the value of a.

Q: Solve e" + y cos x + (xe" + sin x)y' = 0.

A:

Q: Find an equation of the plane. The plane through the point (8, 5, 1) and perpendicular to the vector…

A:

Q: 1. Is the function g(x) = x² + 3x - 10 x-2 r²+3r-10 continuous at x = 5? If so, why, if not,…

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

Q: If f(x) = f'(x) = f'(1) - 2x+2 6x+5 find: 2 (6x + 5)² Question Help: Video Submit Question Jump to…

A:

Q: π/4 IF ST/A tan (x) sec(x) dx = I, express the value of 。 π/4 tan (x) sec(x) dx in terms of I.

A: Given:- ∫0π4tan4xsecxdx=I

Q: Evaluate the indicated limit. (Note: your answer should be in numerical form only and not in words)…

A:

Q: Suppose f(x) = 13 - x² (a) Find the slope of the tangent line to the graph y = f(x)x= -1 when lim…

A:

Q: 4 5g fg 25 y.fig 14841551-800 = 8.162-8.02 0.142 = 0.1 2 decimal Sig. fig what does that mean? I got…

A: We will use concept of significant figure and rounding off.

Q: (b) g(x) = k, 3z²+16z+16 I+4 z I‡ -4. x = -4 k =

A:

Q: The differential equation -4e* cos(y) +4² -4e* sin(y) - 8yln(x) + 5y² Has solutions of form F(x, y)…

A:

Q: Solve the differential equation dy dx Give an implicit solution and use c as the constant. - y =…

A:

Q: 2. If f(x) = and g(x) = sin(x): (a) Find the function (gof)(x) and its domain. (b) Find the function…

A:

Q: (a) Estimate the area under the graph of the function f(x) = from x = 0 to x = 4 using a Riemann sum…

A: Given: f(x)=1x+4 from x=0 to x=4 and n=10

Q: Let f(x) = 2-x 3 (-(x-1)² if x 1

A:

Q: Explain why the function is differentiable at the given point. f(x, y) = 7+ x In(xy-7), (4,2) The…

A:

Q: find the the derivative of f(x) = (3/4x)^6

A: Topic - Derivative of a function We are given  f(x) = 34x6 we know thatddxxn=nxn-1

Q: The unit tangent vector to the curve r(t) = ⟨2 cos t, 1 + t, 1 − 2 sin t⟩ at t = π/2 is

A:

Q: Set up, but do not evaluate, an integral for the length of the curve. π/2 ( T x = 6 sin(y), 0 ≤ y ≤.…

A: Given query is setup an integral for length of the curve.

Q: The curvature of the helix r(t) = (a cos t) i + (a sin t)j + bt k (a,b20) is k=- 2,2 a+b What is the…

A: Given helix:- rt=acostiasintj+btk

Q: For the function g whose graph is given, state the following. (If the limit is infinite, enter 'o'…

A: Given:

Q: en a ball is thrown vertically upward on the moon with a velocity of 20 ft/sec its height, y(t), in…

A:

Q: Solve the exact differential equation (-5 sin(x) - y sin(x) + 4 cos(x)) dx + (cos(x))dy = 0 where…

A:

Q: The population of a city is tripling every 7 years. If its current population is 18,000, what will…

A:

Q: Suppose lim f(x) = 7, lim g(x) = -4. 818 x48 x³ f(x) - 6x - 5 + 9x - 7 lim xxx³g(x)

A: The given limit is: limx→∞fx=7, limx→∞gx=-4 To find the value of limx→∞x3fx-6x-5x3gx+9x-7

Q: -2 3

A:

Q: Assume that functions graph of F(x) = f(x)g(x) f and g are differentiable with f(5) = 3, f'(5) = 3,…

A: At x = 5, F(5) = f(5)g(5) = 3 * -4 = -12 The slope of the tangent at the graph of the function F(x)…

Q: Given the matrix 680 A = a 9 7 51 -1 3 " find all values of a that make the |A| = 0. Enter the…

A:

Q: How much work is done (in J) when a weight lifter lifts 170 kg from 1.5 m to 2.0 m above the ground?…

A:

Q: Find the scalar and vector projections of b onto a. a = (1, 3), b = (-7, 1) comp b proj₂b =

A: NOTE: Refresh your page if you can't see any equations. . find the magnitude of the vector a

Q: the parametric equation of the line through the point (1,-1,5) and perpendicular to the plane…

A: To find the parametric equation

Q: What limit must be calculated to find the rate of change of a function g(t) at t = t0?

A: To determine the limit that must be calculated to find the rate of change of a function gt at t=t0.…

Q: Estimate the area under the graph of the function f(x)=√x + 3 from x = -1 to x = 5 using a Riemann…

A: Given function is f(x)=x+3 from x=-1 to x=5 using a Riemann sum with n=10 subintervals and…

Q: 42. y = 0, y = cos² x, -π/2<x< π/2 a. About the x-axis

A: Given y = cos2xy = 0 -π2≤ x ≤ π2

Q: A fluid moves through a tube of length 1 meter and radius r = 0.002 0.0002 meters under a pressure =…

A: Given η = π8pr4νr = 0.002 ±0.0002p = 1.105 ± 2000ν = 0.375.10-9

Q: Find f'(x). f(x) = 5 AIG X +x/+

A:

Q: Explain the process of chain rule.

A: Let we have f(x)= u(x).v(x)