g(t) = -tan² (2+) +sin (3+¹+8+³) [[// (++1)]] cot " (cosh (3+1)), ift 71 if t <0 ifo≤t≤1

Q: dP Which among the choices is the same as the differential equation = P(C₁-C₂P)? dt A. dP dt B. dp…

A:

Q: ind the limit, if it exists, or type N if it does not ex e√4x²+5y2 lim ,y) →(-2,4)

A: Given query is to find the limit of the expression.

Q: Find the relative maximum point(s), relative minimum point(s), and point(s) of inflection of the…

A: Solution

Q: What is the partial derivative that verifies (cosx + Iny) dx + (x/y+e') dy as an exact differential…

A:

Q: In dx.

A: We will find  the required  integral.

Q: what is odd function?

A: Function:- As a number of inputs with one output for each, a function is defined as a relationship…

Q: Eliminate the arbitrary constants of y=c₁e*+cx*— sin3x

A: We use differentiation to Eliminate the arbitrary constant, we differentiate the given equation as…

Q: Which of the following equations is NOT an exact equatio OA. (2x sin y + y)dx + (x² cos y + x)dy = 0…

A:

Q: What is the order of the equation y" y- (y')³=4?

A:

Q: - Let 3x² + 1 13 10x - 7 ermine if f(x) is continuous at x = 2 by computing limit: f(x) = x 2

A: Given query is to find function is continuous or not on x = 2.

Q: Which of the following equations can be made into a linear differential equation? O A. (x² + xy)dy -…

A:

Q: e correct answer below. , because f(x) has a limit as x approaches c if and only if and only if it…

A:

Q: what is cubic functions ?

A: Function:- A relation between a set of inputs and outputs is known as a function. To put it simply,…

Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy4 + 2y)dx + (2y³ + 2x²y +…

A:

Q: Solve for the value of C in the equation: (2xy¹ey + 2xy³ + y)dx + (x²y4eY - x²y² - 3x)dy = 0 when…

A: uation Given differential equation of the formMdx+ Ndy=0

Q: The degree of homogeneity of the function f(x, y) = (x² - 4y²)-1/2

A:

Q: The integrating factor (IF) of the equation y' - 2ycot2x OA. sin2x OB. cot2x O C. Lnsin2x OD. CsC2x…

A: To find the integrating factor IF of the following equation,y'-2y cot2x=1-2x cot2x-2 csc2x

Q: How long will it take for $1,000 to be worth $2,000 at 6 % interest, compounded continuously? Round…

A:

Q: Let F(x,y)=3+sqrt(1−y^2). 1. Evaluate F(3,1).F(3,1). Answer: F(3,1)=F(3,1)=  2. What is the range…

A:

Q: 111 Solve for the actual solution of y''' = 2x + 1 when y(2) = 1, y'(2) = − 4, y''(2) = 7 X 12 6 X 4…

A:

Q: . Consider the point (x, y) lying on the graph of y = sqrt(x - 3). LetL be the distance between the…

A: Given data:- The given equation is, y=x-3

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x О А. y" - 3y' = 0 OB. 3y"…

A: the given  general solution  y=c1+c2e3x⇒y=c1e0(x)+c2e3x

Q: find the average rate of change of the function over the given interval or intervals. 5. R(0) = V40…

A: Given expression, Rθ=4θ+1 0,2 a=0 b=2

Q: Determine the order and degree of the differential equation, 3x dy4 +5x² 3 (d²y) dx² - xy = 0.

A: Determine the Order and Degree of the differential equation.

Q: Let f(x)=−3e^x+2+e^4 f′(0)=

A: SOLUTION-

Q: indi the derivative  y=arctan² (x³)

A: Given,   y=arctan² (x³)    Find derivative of y

Q: Solve triangle ABC. (Round your answers to one decimal place.) LA = LB = LC=

A: From given diagram, a=34, b=12, c=36

Q: Let f(x,y,z)=(x^2−2y^2)/(y^2+6z^2) fx(x,y,z) = fy(x,y,z) = fz(x,y,z) =

A: Given, f(x,y,z)=(x^2−2y^2)/(y^2+6z^2)

Q: Suppose that f(5) = 1, f'(5) = 7, g(5) = -8, and g'(5) = 4. Find the following values. (a) (fg)'(5)…

A:

Q: Find the term indicated in the expansion (2x + y)6; third term.

A: Given: The given expression is: (2x + y)6 Formula Used: Binomial expansion: a+bn = C0nanb0 +…

Q: Which of the function is not an exact equation of the first order? A. (e³ + ycosx)dx + (xe³ + sinx +…

A: We have to find which of the following function is not exact. We

Q: If f(x) = = f'(x) = 4x² tan x sec x Find f'(5)= " find 4x(x + 2 tan(x sec (x) (x))

A: Topic- Derivative of a function  We are given, f(x)=4x2tan xsec xand f'(x)=4x(x+2tan (x))sec x

Q: Determine the set of points at which the function is continuous. 1 + x² + y² 5 x² - y² F(x, y) = = D…

A:

Q: Fill in each blank so that the resulting statement is true.

A: Given, x+25

Q: The partial fraction decomposition of f(x) X - 5 + g(x) x + 5' where 56 x² - 25 can be written in…

A:

Q: 1. Given the vectors a³ = (2, −1, 3), b` = PQ` where P(1, 1, 1) and Q(5, 1, −1) and c³ = i̇ + j³ +…

A:

Q: What is a suitable integrating factor that can be used to solve the equation dy cos(2x) = 0 O A. OB.…

A: To determine the suitable integrating factor that can be used to solve the equation.xdydx+2y-4xy-e-x…

Q: 16. Find the limit of the following rational function as (a) x-∞o and (b) x--co. -2x²-3x²+2 7x³+2x²…

A: Limit

Q: Give the implicit solution of y'=y=xy²e Oe-2x = y²(x²+c) O e ²x = y²-c O e²x = x²(y²-c) е…

A: We will find the required  solution of given differential equation.

Q: In Exercises , say whether the function is even, odd, or neither.Give reasons for your answer.51.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Which of the following equations can be made into a linear differential equation? OA. (x² + xy)dy -…

A: Option D

Q: Consider the following curve. y = √√√2+x²³ Find y'(x). y'(x) = Find an equation of the tangent line…

A:

Q: Use the Binomial Theorem to expand the expression and write the result in simplified form.

A: Given data:- The given expression is, x13-x-133

Q: 14. x+5 x²- x - 14x +45 Describe the set of x-values where the function is continuous, using…

A:

Q: 11. Let g(x) = x² e. Find at which x value(s) does g(x) have a horizontal tangent line? X

A: Given query is to find the value of x where tangent line is horizontal.

Q: what is rational function ?

A: Relational number Our connection is number three. As you'll see that number is specific to our…

Q: Solve for the value of C in the equation: O A. -5 B. 5 O C.-4 O D. 4 O E. None of the Choices dx…

A:

Q: the solution of A=19 is incorrect. The answer was suppose to be A = 21 but I am not sure how that…

A: Graph:-

Q: Find the general solution of y" =2x+ sinx + e*

A: Topic- Differential equations We are given that, y''=2x+sin x+ex We know that,…

Q: Use the Law of Cosines to determine the indicated angle 8. (Assume a = 126.5, b = 59.5, and c = 159.…

A: Given, a=126.5, b=59.5 and c=159 Aim: Find θ