4. y'dx+e* dy = 0 Ans. e +y =c 5. mydx = nxdy Ans. x" = cy" 6. y'=xy Ans. y(x² +c)+2 = 0

Q: Given y = 6u - 9 and u = (1/2) x*, find dy/dx = f' (g (x)) g' (x). Select one: 12z3

A:

Q: Plot the first N terms of the sequence. a1 = 2, a2 = 3, and for n ≥ 2, an =  1 2(an − 1 + an − 2); N...

A: This is a problem related to sequence of the given first 2 terms. Based on the available concept we ...

Q: -4 8 2 а) y -5 11 3 7 -4 -1 2 3 b) y 2 12 11 8. -3 2 -1 y 7 3 7 13 6 4- 4-

A: There can be duplicate y value but not x value in function

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series s-(.) S = п+1 n + 2 n=3 wh...

A: Given telescoping series∑n=3∞ 11+n-12+n

Q: NgOZp5p4CnlLGsL9a. E The monthly profit for a small company that makes long-sleeve T-shirts depends ...

A:

Q: 4. Which of the following represents the differential equation of the family of parabolas having the...

A:

Q: 3. Evaluate ". a, Inutc b. In u C. Inx+c

A:

Q: + find 5A-B where A 3 B= [4 -2 -1 0, -1- -2 3. 8.

A:

Q: Question The position of a car traveling along a highway is given by the function s(t) = -r+ + 121-5...

A:

Q: Use sigma notation to write the Taylor series about x = xo for the function. In x; xo 1 EO (-1)*+1 (...

A:

Q: A body mass 4 kg falls (from at rest) from a medium whose resisting force is numerically equal to 0....

A:

Q: 5. Which of the following equations is not a variable separable? dy dy ry + 3x - y - 3 ry – 2x + 4y ...

A: To write the equations which are not a variable separable differential equation. 

Q: Given revenue and cost functions R(q) = 90q - 0.4q and C(q) = 15q + 600, find the maximum profit tha...

A:

Q: Find the length of the curve for the following parametric equations for 13 <t < 15. Find its exact l...

A: The parametric equations,xt=31+30t2yt=34+20t3from 13≤t≤15

Q: Definition 3.27 Let P(x, y) be a point in R² and 0 be the radian measure of the angle formed by OP (...

A:

Q: c. Determine the average rate of change of the distance of the car from the stop sign with respect t...

A:

Q: Use the Chain Rule to find dz/dt. z = xy5 - x?y, x = t? + 1, y = t? - 1 dz dt ||

A:

Q: . Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of rad...

A: Given problem Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 1...

Q: What could be an integrating factor in solving the differential equation (1 +x*)+(1-x)y = xe* ? +(1–...

A:

Q: Determine the larger volume. Assume there is a hemisphere which has a radius of 5cm was cut by a pla...

A: A sphere of radius 5. V = Volume of hemi-sphereV = ∫02π∫0π2∫05r2sinθdrdθdϕ r : radial distance from ...

Q: Use the Chain Rule to find the indicated partial derivatives. x = r cos(0), y = r sin(0), z = re; w ...

A:

Q: Determine the focus and directrix of the parabola with the given equation. Sketch the graph, indicat...

A:

Q: 3. t dx

A:

Q: b. Suppose the function h is defined as h(x) = 3f(x). Determine the domain and range of h.

A: b. Given that  h(x)=3f(x) Domain of f is [0,4] and range [0,2]      

Q: Please show the step by step solution. Thanks!

A:

Q: Given cost and price (demand) functions C(q) = 100q + 43,500 and p(q) = - 2q + 860, what is the marg...

A:

Q: Use the remainder theorem to determine if the given number c is a zero of the polynomial. S4) = 3x+6...

A: We have to use th remainder theorem to determine if the given number c is a zero of the polynomial  ...

Q: Find the equation of the curve at every point of which the tangent line has a slope of 4x

A: This is a problem of tangent line equation. Slope of the tangent line is equal to the slope of given...

Q: 4. At high temperatures, nitrogen dioxide, NO2, decomposes into NO and O2. If y(t) is the concentrat...

A: Given: y(t) changes according to the law, dydt=-0.05y2 where, y is the concentration in moles per li...

Q: Consider a round water glass of the following dimensions. 8 cm 10 cm 6 cm Use integration to compute...

A:

Q: Find the radius of convergence of the power series. (If you need to use o or -00, enter INFINITY or ...

A: Solve by series 

Q: Show that the sequence 5n n=1 is eventually strictly increasing or eventually strictly decreasing. A...

A: Given is the question of sequence and series.

Q: Given cost and price (demand) functions C(q) = 110q + 40,000 and p(q) = - 1.9q + 860, how many items...

A:

Q: How y The Salid shown in Rigure consists of a cone of radins (r) and height (hit and a cylinderof ra...

A:

Q: Find the standard equation of the parabola which satisfies the given conditions. Focus (-2, -5), dir...

A:

Q: Question: Find the derivative. 1+ vi

A:

Q: 1 y =

A:

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A:

Q: 5. * S sin(1 – x) (2 – cos(1 – x))* dx A C (2-sin(1-x)5 +C (2-sin(1-x)5 +C+ D. (2-cos(1-x)5 +C (2–co...

A: topic - indefinite integral

Q: Given Cost and Revenue functions C(q) = q° - 9q° +51q + 5000 and R(q) = - 3q +2600q, what costs shou...

A: Given query is to find the cost for maximum profit.

Q: Determine whether the alternating series converges. 4ln k Σ- k O The series converges. O The series ...

A: Given Series ∑k=3∞ -1k4lnkk  

Q: ( ग০) (১০ for the following func tion ? -WX-+5inZっメー +SinZっメー

A: w=x2+y2-z+sin zx+y=z(∂w∂y)x =ddy(x2+y2-(x+y)+sin(x+y))            =[0+2y-1+cos(x+y)(0+1)](∂w∂y)x =2y...

Q: s Two sider of a triangle have lengthsa:4 Cm b=3 Cm but are increasing at the rate of 1 c/see If the...

A:

Q: The graph of y3f(x) is given. Solve the inequalities. Write the solution sets in interval notation i...

A:

Q: The demand functions for two products are given below. p1, p2, q1, and q2 are the prices (in dollars...

A:

Q: Let {a,}1 be a convergent sequence defined by a1 = V5 and an+1 = V5a,. Find lim a,.

A:

Q: Find the first partial derivatives of the function. f(x, y, z, t) = 7xyz9 tan(yt) fx(x, y, z, t) = f...

A:

Q: 15. Vlad and Karl discuss about the continuity of the given function. Vlad asserts that the function...

A: A function f(x) is said to be continuous at x=a iff limx→a-f(x)=limx→a+f(x)=f(a) A polynomial functi...

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 z6 + dz (8 - z)4

A: integration

Q: A certain radio active substance has half-life of 38 hours. A. Determine the value of k in four deci...

A: Consider the radioactive decay function, A(t)=A0e-kt  Where A(t) represents the amount of substance ...