Given: t + y² + (4y3 + 2ty)y' = 0, and y(1) = 0, Find: C (constant) O A. 1 B. 0 O c. 1/2 OD. 1/4 OE. None

Q: Calculate the derivative: (6t4 - 7t) dt =

A: To find the Derivative.

Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: We can find the particular solution in the below steps using the appropriate method.

Q: 1. Find the minimum and the maximum of the function f(x, y) = x² + xy + y on the set: D={(x,y): 0 ≤…

A:

Q: 1. Among 200 people, 150 either swim or jog or both. If 85 swim and 60 swim and jog, how many jog?

A:

Q: If f(x) = 7 sin x + 10 cos x, then f'(x) = f'(3) = (round to 3 decimal places)

A:

Q: A factory manufactures three products, A, B, and C. Each product requires the use of two machines,…

A:

Q: Use power reduction formulas to fill in the blanks in the identity below: (sin(3x))¹ = 1 += cos( x)…

A:

Q: A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east…

A:

Q: Find p(-2) for p(x) = x²³ - 6x² + 3x + 4 P(-2) =

A: Put the value of x=-2

Q: Given that; f(2)=2, f'(2)=3 g(2)=6, g'(2)=4 Calculate the following (fg)/2= (f/g)'(2)= (g/f)'(2)=

A:

Q: 5. Given 20 different types of inputs to a program, in how many ways can 8 of them be selected if…

A: Topic -Permutation and combinations When order matters in selection, we use permutations . When…

Q: Write an equation for a rational function whose graph has all of the indicated features:  -…

A:

Q: Evaluate the integral in terms of the constant: S₁x5 dx =

A:

Q: Use a graphing utility to find the limit. 5x − 7 2-81 lim x-g+x².

A: Let's find evaluate the limit by graphing utility.

Q: Question Determine which of the following tests would be best to use to determine the convergence of…

A: Solution: ∑n=1∞9n37 Apply p series test if the series is of the form  ∑n=1∞1np, where p>0 If…

Q: comparinson between  Exact and Non-Exact Differential Equation

A: The objective of the question is what are the exact and non exact differential equations.

Q: For the pair of functions f(x)=√√4x + 3 and g(x) = 9x-16, perform the indicated operation and find a…

A:

Q: Find a polynomial P(x)=x3+ax2+bx+c satisfying ALL of the following properties: i) x = -1 is a local…

A: f(x)=x³ +ax²+bx+c f '(x)=3x² +2ax+b It is given f(x) is maximum at x=−1, hence f'(−1)=0 ⇒f…

Q: f(x) = x²(x

A:

Q: Let f(x) be a function defined on [0,1], such that f(0) = 0 and f(1) = 1 . Which of the following…

A: Option (1) and (2) are correct

Q: Exercises Exercise 1 Evaluate lim 2 x² +1 x-1 3.x5 +4 Exercise 2 Limits if it exists. If it does not…

A:

Q: Consider the function. Find f'(x). f'(x) = Find f"(x). f"(x) = Find f"(-1) and f"(4). f"(-1) = f"(4)…

A: The given function fx=x3-3x2+2 We have to find the values of f'x, f''x, f''-1 and f''4

Q: Question Find the derivative of the function f(x) = ln Select the correct answer below: 3 Xx O f'(x)…

A: The given function is; f(x)= ln[x3(2x+1)/(x2-3)].

Q: Find a function r(t) that describes the line passing through P(9,6,3) and Q(5,4,2). r(t) = (-4t+9..,…

A:

Q: Find the derivative of the function. {(x) = n(x + √5 + x²) f'(x) =

A:

Q: determine the first 4 terms of the taylor series: a. lnx centered at a=1

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

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. IL VE - dy dx

A: ∫141 ∫x8x xydydx

Q: Use implicit differentiation to find the equation of the tangent line to the given equation at the…

A: When the slope is infinte then equation of the tangent line is a vertical line x=a where (a, b) is…

Q: In 2011 a country's federal receipts (money taken in) totaled $2.14 trilion. In 2013, total federal…

A:

Q: A tank contains 5000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped…

A:

Q: Given that; f(2)=2, f'(2)=3 g(2)=6, g'(2)=4 Calculate the following (fg)/2= (f/g)'(2)= (g/f) (2)=

A:

Q: A. 3t+ 2y + (3t+ 2y)y' = 0 OA. A only OB. B only OC. A and B O D. None B. 3t+ 2y + (3y + 2t)y' = 0

A:

Q: A blach What is the probability that (a) the sum of the values is even? (b) the number on the red…

A: A black and red die is tossed than what is the probability of  a) the sum of the values is even? b)…

Q: using synthetic division x to the fourth - 2401/x-7

A: Given query is to divide using synthetic division.

Q: A bank heist occurs. The robbers flee the bank at 60 km/h due south. As they are leaving, cops that…

A:

Q: i need help with, b, c and d

A: Part b: A horizontal asymptote of a graph is a horizontal line y=b if the graph approaches the…

Q: Determine all vertical asymptotes of the graph of the function. (Enter your answers as a…

A:

Q: Given that f(x) (a) (f + g)(3)= (b) (f - g)(3)= (c) (fg)(3)= (d) (-) (3)-[ = x² - 7x and g(x) = x +…

A:

Q: Find an nth degree polynomial function with real coefficients satisifying the given conditions n=3…

A: Given query is to find the polynomial.

Q: Find an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. Ay…

A: Topic - Equation of tangent line to curve We are given, y=3+cot x -csc xand we know thatslope of…

Q: Evaluate R (2ry) dA, where R is the triangle shown below. y-axis (0, 3) √x+y = 3 R x - 4y = 0 (4,1)…

A: We have to evaluate the integral:  ∫∫R (2xy) dA ;     where R is the given shaded region.

Q: Let A(x) = f f(t) dt, with f(x) as in figure. -1 140 0.5 A --- 8 A(x) has a local minimum on (0, 6)…

A:

Q: Consider the function f(x) = 4x - cos(x) +5 on the interval 0≤x≤1. The Intermediate Value Theorem…

A: Given function:- fx=4x-cosx+5

Q: dx Determine x = f(t) for (t² +8t) - x = f(t) = dt = 8x+8, t>0; f(1) = 3.

A:

Q: Moving to another question will save this resport ion 1 Identify which of the following derivative…

A:

Q: Solve the queation 36x cubed + 45x squared - 7x - 4 = 0 given that -4/3 is a zero of f(x)=36x cubed…

A: Please see the below picture for detailed solution.

Q: Differentiate the given function using the appropriate rule(s). Your answer does not have to be…

A:

Q: 3. Find the largest domain (in R2) for the function In(y-1) √x f(x, y): =

A: The given function fx,y=lny-1x We have to find the domain of fx,y

Q: Let u(t) = 2t³1+ (t²-1)j-8k. Compute the derivative of the following function. (+15+6t) u(t) Select…

A:

Q: Find the derivative of the following functions using limits. 1. f(x)= 3x² + 4x-5 2. f(x)=x³2x²+x-3…

A: The given functions, 1. fx=3x2+4x-52. fx=x3-2x2+x-33. fx=x-12 We have to find the derivative of…