Find f(x) if y = f(x) satisfies dy dx 108yx¹7 and the y-intercept of the curve y = f(x) is 4. f(x) =

Q: Determine the equation of the tangent to the graph of y-²-4-√x at the point (4,8). a) y=-7x+36 b)…

A:

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. √13n an =…

A: To determine whether the sequence  converge or diverge.To find the limit if the sequence is…

Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) N ? 7 6 a

A: The given graph

Q: Calculate the determinant of A= det (A) = Number -20 -4-4-2 4 -6 2 4

A:

Q: Given the function f(x) = x²e³x, Use the derivatives to determine the open interval(s) where the…

A:

Q: Find the particular solution of the differential equation x²y" 5xy' +9y=9x (x > 0) satisfying the…

A: To know about Euler's equation:-To calculate complementary factor:-

Q: Solve e³t = 2000 for t. t≈ (Round to three decimal places as needed.)

A:

Q: If f(x) is continuous and ſ² f(x)dx = 225.1, what is b [. Round your answer to two decimal places.…

A: If  is continous and , to find .

Q: Due Math 31 Chapter 9 Review Assignment 1. Verify y(x)=c, sin x + c₂ cos x-(cos x)In(secx + tan x)…

A:

Q: Differentiate. g(x) = log 29 (5x-4) g'(x) =

A: To differentiate the following function.

Q: 2. We found a solution y-sinx for the following differential equation. y"+y=0 a. Use Reduction of…

A:

Q: Problem 2: Use Cramer's Rule to solve for the System of Equations by hand: -x + y = 10 5x + 4y = 2

A: By using Cramer's Rule to solve the following system of equations.

Q: 2. (a) Find the slope of the tangent line to the curve f(x) = 2x³ - 3x at x = -1 using a definition…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the derivative of the function. e Su -5u e y = e 5u <-5u + e

A: Quotient rule:

Q: Differentiate y = 7x³ +6

A:

Q: Use logarithmic properties to find the exact value of log17 (175).

A: First questionSecond question

Q: Find the values of the other trigonometric functions given the following conditions.  a. sin theta =…

A:

Q: Differentiate the function. y = log (e-* cos(TX))

A:

Q: 13. If f(x)= x-1 I. II. III. x #1 x = 1 which of these statements are true? lim f(x) exists f is…

A:

Q: y = esinx. 3 tan x

A: We need to find out the derivative of the given function.

Q: Determine the limits of: 3N (1 + 2/3 3³

A:

Q: Find the average value of the function h(x, y) = x³y² on the region bounded by f(x) = 2x + 2, g(x) =…

A:

Q: 1. Verify y(x) = c, sin x + c₂ cos x - (cos x) In(sec x + tan x) is a solution to y" + y = tanx. 2.…

A:

Q: For what values of p is the integral convergent? d. All values of p less than 1 O e. 8 1,0 All…

A: According to our guidelines, we can answer only first question (due to multiple questions). Kindly…

Q: Evaluate the integral by reversing the order of integration. 4 64 ["h y 6e** dx dy

A: given integration

Q: Write a polynomial f(x) that satisfies the given conditions. Degree 3 polynomial with integer…

A:

Q: Find the local linear approximation of f(x) NOTE: Give your answer in terms of x and not Ax. 1 √1+x…

A: we need to find out the linear approximation of the given function at the given point."Note that as…

Q: 5. Find the equation of the ellipse with center at (4, 4), vertices at (4, 10) and (4, -2), foci at…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Differentiate the following function with respect to : cos (cos(x))

A: The function is  Here we have to find the derivative of the function

Q: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting…

A:

Q: 3. Solve the DE dp dt Р R(1-P) M = KP 1-- if k, M and m are constants.

A:

Q: 5. A = [ 2 3 -1 21]. B. = -4 2 13

A: A is matrix and B is also matrix

Q: Use the properties of inequalities to solve the inequality. Write the solution set using set-builder…

A: The inequality is given byTo determine: The solution of the inequality.

Q: a. Find all the intersection points of the following curves. b. Find the area of the entire region…

A:

Q: = Let F be the vector field F(x, y, z) = xi+yj +4zk √²+2 beneath the plane = = 3, oriented using a…

A:

Q: Question 3.33) A certain sports car is being tested for its performance. Putting the engine at…

A:

Q: Find the equation (in terms of 2) of the line through the points (-4,-2) and (4,2) Y

A: Find an equation of the line pass through (-4,-2) and (4,2)

Q: Determine the axis of symmetry of the graph of the following parabola. f(x)=5^x2+190x+19

A: To determine the axis of symmetry of the graph of the following parabola.

Q: Use implicit differentiation to find 있으 9 sin (xy) = 8x + 5y = dy dx

A: we need to find out the derivative of the given function.

Q: Find the GCF of the expressions. 15a8b(c – 7) and 12a¹⁰b7(7 — c)

A:

Q: Question 3.35) An expert in the housing market tells you that the price of midsize houses in a…

A:

Q: MY NOTES Perform the indicated operation and simplify if possible by combining like terms. Write the…

A:

Q: 1. Match the rule or formula's name with its characteristics by putting the lowercase letter on the…

A: Consider the following

Q: Use the critical value method to solve the rational inequality. Write the solution set in interval…

A: Given rational inequation

Q: Write an equation for a line parallel to y - y = 2x 3 and passing through the point (2,0)

A:

Q: Compute the value of the improper integral. (If the integral diverges to ∞o, type oo; if the…

A:

Q: Find the derivative of: -5√x + 3 76 ● Type your answer without fractional or negative exponents. Use…

A:

Q: The hyperbolic cosine function cosh x (pronounced ‘kosh’) is used to describe a catenary, the shape…

A:

Q: In 1991, the moose population in a park was measured to be 3710. By 1998, the population was…

A:

Q: Question 3.31) A) Compute f'(x), f"(x) and f"(x) for f(x)=sin(x). B) Let g(x)=√√9+4x². Evaluate…

A: Take derivative.Take the second derivative.Take the third derivative.