Calculate the solution to the differential equ y (y² + 3x²) dx + 2r*dy = 0 O x³ = y² (C – x) x²C = 3 In\y – x| O (x³ – xy – y) C = y² (y + ¿x) y? – x = x² (÷y – C) none of the options

Q: Consider the differential equation = kpl + c dt where k > 0 and c 2 0. In Section 3.1 we saw that in...

A:

Q: D. 12.0 An electric charge produces a total electric field of 6 Coulombs. Calculate the electric flu...

A:

Q: For each statement, indicate if it is True or False. Assume x and y represent positive values. v log...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: f(x) = (x – 1). sin(x)

A:

Q: For each graph, select all symmetries that apply. Graph 1 Graph 2 Graph 3 -2 Symmetry: Symmetry: Sym...

A:

Q: find all of the critical points and local maximums and minimums of each function. (c) f(x) = 1+ x4 '

A:

Q: Identifying The Characteristics of a Logarithmic Function Complete the table below for the Logarithm...

A: To find out the domain, range, horizontal intercept, vertical asymptote, vertical intercept, horizon...

Q: Let H(x) = f(x) + 3g(x), where the graphs of f and g are shown in the figure to the right. Find H'(3...

A:

Q: Given Cost and Revenue functions C(q) = q° - 10q + 54q + 5000 and R(q) = - 3q“ +2600q, what is the m...

A: We can find the marginal profit as below.

Q: Find the general solution to the differential equation. y' = 2t   t2 + 64 y =

A: Follow the procedure given below.

Q: Evaluate the integral. 1 8 dx x3

A:

Q: Use your expertise with trigonometric identities to rewrite each expression in a form that does not ...

A: To write each in the trigonometric functions without exponents and products. 

Q: • Gamma Functron 1. Find (5.2). Answer: 32.5781 010537 1.6317 -0.06

A:

Q: An open box is to be made out of a 9-inch by 19-inch piece of cardboard by cutting out squares of eq...

A: Given: The dimensions of the piece of the cardboard is 9-inch by 19-inch. An open box is made out of...

Q: 4. What is the equation of the tangent line to y = sin(sin(x)) at the point (T,0)

A:

Q: (tan xI" =( Snx) by quekrent pule ; (SmxI" ( Cos al ex. by quotient rule: Cos x (Sinx) (Cos x) (Cos ...

A:

Q: J Va4 + 1 ‚4

A:

Q: A lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline...

A:

Q: 8. The differential equation (2x' -xy² -2y+3dx-(x'y+ 2x)dy =0 is exact because ON

A: Given:     Differential equation 2x3-xy2-2y+3dx-x2y+2xdy=0 The differential equation is exact if    ...

Q: a3 – 1 + 3.r lim -00 VA.r – 2x

A: We will take common the highest power of the x, and then terms will cancel out which will make easy ...

Q: Differentiate the function. y = (In x)4 %3D y' = %3D

A:

Q: The population of a city is 150,000. The city declines continuously by 4% per year. If this trend co...

A: We have to find time in year when  the city will be losing 3400 people per year.

Q: A. Evaluate the following integrals of inverse trig functions. dx 1. Evaluate f- x Vx2-n dx 2. Evalu...

A: 1.∫dxxx2-πSubstitute u=x2-π and dudx=xx2-πand dx=x2-πxdu=∫1u2+πduSubstitute v=uπ and dvdu=1πand du=π...

Q: In x to show that In a loga x = Use the change of base formula loga x = x In a loga x dx dx In a In ...

A: topic - derivative of logarithmic function

Q: dx 9. Evaluate f VI (1+x) dx Evaluate J J-x sin-1 x 10.

A:

Q: The volume of a solid bounded by surfaces: z = 0,y=0,z=a² – x² ,y=2x,x +y=a |

A:

Q: point 4 m above ground level with an initial velocity of 21.5 m/s is h = 4 + 21.5t – 4.9t2 after t s...

A:

Q: 4 In estimating | cos(3x)dx using Trapezoidal - 1 and Simpson's rule with n = 6, we can estimate the...

A: Error bound of Trapezoidal rule and Simpson rule for integrating f(x)dx in [a,b] is, ET <maxf''(x...

Q: Evaluate the following limits. lim 3 A. 1. 2. lim 3" 3. lim 4* 4. lim 5 x+00

A: Let's find. 

Q: Answer 4,5,6,7 4.What is the second derivative of  y=6x^4−3x^3+x^2−5? A.y′′=144  B.y′′=72x^2−18x+2...

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost...

Q: Find the mass of the rectangular region 0 <x < 2,0 < y < 3 with density function p(x, y) = 3 – y. %3...

A:

Q: owing is equivalent to sin (-0)cos Ocsc (-0)sec (-0) for all values of 0 for which c(-0)sec (-0) is ...

A:

Q: dy dt II

A:

Q: 10) du(3リ+3 4x + 5, 二 dx

A:

Q: lim cos + 4

A:

Q: Find the critical points of y= -2x^2 +4x +3 and apply the Second Derivative Test to find the maximum...

A: Critical point and extreme points

Q: Given Cost and Revenue functions C(q) = q° - 11q +51q + 5000 and R(g) = - 39 + 2500q, what is the ma...

A: Given query is to find the marginal profit at production level of 50.

Q: Which expression is equivalent to sin B cos B csc B for all values of B for which sin B cos ß csc B ...

A: Given,sinβ  cosβ  cscβ= y (let)we know ,cscβ =1sinβ

Q: The population of a city is 55,000. The city grows continuously by 2.4% per year. If this trend cont...

A: NOTE: Refresh your page if you can't see any equations. . the initial population is a=55000 and the ...

Q: and assume f(-2) =0 f'(– 2) = - 1. Find h'(-2). Let h(x) =x²e*(x)

A:

Q: A spherical iron ball 8 in. in diameter is coated with a layer of ice of uniform thickness. If the i...

A:

Q: Solve the initial-value problem starting from y0 = 10. dy dt = −6y y =     At what positive time doe...

A:

Q: If k(x) = 1 if x < 0 x + 2 if 0 ≤ x < 1 1 − x if x ≥ 1 , find the following...

A: The given function,     k(x)=1if x&lt;0x+2if 0≤x&lt;11-xif x≥1

Q: Each one of the lines (a), (b), (C) and (d) represents the linearization of a function at the given ...

A: topic - linearization of a function

Q: A company produces a special new type of TV. The company has fixed costs of $452,000, and it costs $...

A: Given problem:- A company produces a special new type of TV. The company has fixed costs of $452,000...

Q: Given that sec(0) = and 0 is in Quadrant IV, what is tan(0)? Write your answer in exact form. Do not...

A: We know that the trigonometric identity; tan2x+1=sec2x   Given: secθ=133

Q: Ek=1 (k+3)(k+4)

A: The objective is to solve the above series. 

Q: Let i=, =, and =. Please do all of the following. (a) Compute i x ũ. (b) Compute the scalar triple p...

A: Dot and cross product

Q: In(rºs² Vr*s° is equal to A lnr + Bln s where A = and where B

A:

Q: lim 4 sin (x+ T) + 3

A: