Obtain the general solution   mydx = nxdy   Ans. xm =cyn

Q: minutes

A: Follow the procedure given below.

Q: Determine the behavior of the functions defined below. Note that it is common to write f(x) → o" to ...

A:

Q: A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 500, 000...

A:

Q: vii. lim g(x) x→-1 Preview viii. g( – 1) Preview ix. lim g(x) x→00 Preview

A: The given function is; g(x)=-5x3+5x2+8.

Q: Given Cost and Revenue functions C(q) = q° - 10q +53q + 5000 and R(q) = - 3q + 2500q, what quantity ...

A:

Q: 3) The volume under z = xy and over [0, 1] X [0,1]. 2 decimal places

A:

Q: Determine the length of x = 4(3 + y)* , 1<y<4 %3D

A:

Q: The graphs of two functions f and g are shown below. 4 3 2 12 4 5 -2 -4 a. Write a function formula ...

A:

Q: Find and sketch the domain of the function. f(x.y) = Vy - 4x - 8 Find the domain of the function. Ex...

A:

Q: 2. (a) Use Equation 1 to find a power series representation for f(x) = In(1 – x). What is the radius...

A: Log (1-x) =-integration of 1/1-x According to guidelines we solve only first question. 

Q: Given the the parametric curve Sx(t) = ¿e" – 12e* + 32t %3D 1 y(t) t5 – 6t + 10 dy (a) Find an expre...

A: We know that; The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: xt=12e2t-12et+32tyt=1t...

Q: 0-Find (o cow フ .ce メ1 me for Pollowing function? W=xet2- xャト+ー6 +2²=6

A:

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: 2 cot- (ecsc) if – 3 3. - a. Determine if f is continuous or discontinuous at x= continuous, classif...

A:

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A:

Q: Suppose f is a quadratic function that has roots at x = - 5 and x = 8, and f(0) = 15. We will write ...

A:

Q: 12. A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and...

A: Given

Q: Find the derivative. I+5 = (x) 6 12 + 2 Select one: 2 (z + 5) (-x² – 10z + 2) g' (z) 2,

A: Here we have g(x)=x+5x2+22  

Q: Find the indefinite integral using the substitution x = 8 sin(@). (Use C for the constant of integra...

A:

Q: A. Get the derivative of the given function. 1. y = (5x³ + 4)² 2. y %3D

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: A. Direction: In the given figure, draw tangent lines in each points A,B and C. y ==(x+4)3 + 4

A:

Q: Question d'y if-2x + 7y = 10. Find %3D dx2 Provide your answer below: dy %3D dx2 Previous

A: topic - implicit differentiation

Q: Determine if the graph can represent a polynomial function. If so, assume that the end behavior and ...

A:

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

A:

Q: The definition of a strictly decreasing function f is: A function f is said to be strictly decreasin...

A: A strictly decreasing function can have only one horizontal intercept. This is because when x1 and x...

Q: Given cost and price (demand) functions C(q) = 120q + 42,000 and p(q) = - 1.9q + 870, what is the ma...

A: Given query is to find the maximum profit possible.

Q: 1. Determine the order and degree of the differential equation d'y -2x2 dx4 + 4x dx² - 1 = 0.

A:

Q: Please answer the following attached Calculus question correctly and show all your work completely w...

A:

Q: Suppose that u and v are vectors in 3-space such that u ||= 5 and u · v= 7. Find: (a) u · u = (b) v ...

A:

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. (...

A:

Q: Differentiate the following: 1. y=sqrt of (x+1) sqrt of x

A: ddxx+1x  

Q: 1. If a stone is thrown vertically upward frosthe surface of the moon with a velocity of 10 meters p...

A: Follow the procedure given below.

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: Which of the following is a differential equation with homogeneous coefficient? (a) (v² – V² + y² ) ...

A: Concept: If we replace cofficent of differential equation with k time if both are same then it's hav...

Q: A particle moves along the x-axis so that at time t > 0 its position is given by x(t) = t* - 24t2. D...

A:

Q: 8. Find the value of p for which the series 2n Inn (In (In n))" is convergent. n=3

A: the given series,        ∑n=3∞1n ln n.lnln n p

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: Given revenue and cost functions R(g) = 80g - 0.4q and C(g) = 15q + 500, find the marginal profit at...

A:

Q: Which of the following best represents the particular solution of the differential equation: y" – 6y...

A: The given differential equation is y''-6y'+9y = 6x2+2-12e3x ⇒ D2-6D+9 y = 6x2+2-12e3x ⇒ D2-2·D·3+32 ...

Q: 21. The complementary solution, Ye, of the equation y" + 2y" + y = 10 is (a) ye = Cie-* + Cze- + C3 ...

A: The given equation is; y"'+2y"+y'=10.

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

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) t° Vt9 - 23 dt

A:

Q: Find all the second-order partial derivatives of the following function. h(x,y) = 2x e + 9y + 3 дудх...

A:

Q: (d) Find the points(s) on the curve where there is a vertical tangent line. Find the exact point(s),...

A:

Q: EXERCISE 4 Find Vƒ(P) and Djf(P). (a) f(1,y, 2) = y7 + 2² – 4rz; Ū = } i - { j+ } k; P(-2,1,3)

A: Given function f(x,y,z)=y2+z2-4xzPoint p=(-2,1,3)and vector U→=27,-67,37  

Q: Suppose the function g is defined as g(x) = Fill in the following blanks. f(x) (Note: if g(x) increa...

A: The g(x) function is defined as g(x)=-5f(x) ........................................... (1) and the ...

Q: Given Cost and Revenue functions C(q) = q° - 11q +53q + 5000 and R(q) = - 3q“ + 2500q, what is the m...

A:

Q: (1 point) Use implicit differentiation to find an equation of the tangent line to the ellipse define...

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

A:

Q: . Get the derivative of the given function. 2. y - In 7x

A: Solving the problem by finding the derivative of the function.