1. Solve the following first order ordinary differential equations: dy_2x+6y-1 (a) = dx x + 3y + 2

Q: The graph of f(x)=k is shown above. Assume that k = 3.9 8.6 1) Evaluate. f(x) dx = 2.9 Sff(x) dx 3…

A: Given, f(x)=k

Q: FIND F'(X) FOR F(X) = 7X²² + 6x² -8 4 X ما

A:

Q: (4) Find the integral I = J (x³ - 7x² + 14x − 8)dx. Explain why this is not the same as the area you…

A:

Q: The revenue per month earned by the Couture clothing chain at time t is R(t) = N(t)S(t), where N(t)…

A:

Q: The derivatives of f(x)=(x+6)(x−6)(x^2+4) f′(x)=f′(x)=_____

A: We can find the derivative of the given function by using the following formula . ddx(xn)=nxn-1

Q: (_is) -9 * =

A:

Q: A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing…

A: We have to find the solution to the differential equation that models the mixing process

Q: You and your friends are bungee-jumping from an bridge. Let f (x) = -0.0005 x² +1.7 x + 4.65, where…

A:

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A:

Q: At t=0, a 600 liter tank initially contains 50 grams of salt dissolved in 300 liters of water. Then,…

A:

Q: 3. Find the determinant of the given 4x4 matrix -2 2 003-1 2 3 2 0 5 -1 1 10 =

A:

Q: Evaluate the indefinite integral. [x³(x®. x5(x6 + 1)³/² dx

A:

Q: Calculate the definite integral by referring to the figure with the indicated areas. ff(x)dx 0 Area…

A:

Q: Let f(x)=(x^2 +3)(x^2 +5x-7). Find f'(-1).

A: NOTE: Refresh your page if you can't see any equations. .

Q: 5. Label the corresponding curves on the graph. A B C D -8 TERMS -6 y = 3x+5 y = 3x y = 3-x y =…

A:

Q: suppose f(x) and f'(x) have the following values. I -1 0 1 2 f(x) 6 -9 2 -3 f'(z) -1 5 -6 -2 et h(z)…

A: Given query is to find value of the Indicated derivative using the table.

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

A: In the problem a Since the degree of the numerator is not less than degree of the denominator we…

Q: 3 2 Find the interval of convexity of the function f(x)= x + 3x - 4 D a.xEE-1, +00) b. x € (-1,-00)…

A:

Q: The graph of f(x)=k is shown above. Assume that k = 3.9 8.6 1) Evaluate. f(x) dx = [ 2.9 f(x) dx…

A: We have to solve one question as per guidelines

Q: Experiments show that a colony of bacteria with sufficient food and no predators and with zero death…

A:

Q: Let g be the function in the image. The domain of g(x) is of the form [a,b] where a is -3 and b is…

A:

Q: Question Using Desmos, plot the point (-1,7) in the polar plane. Provide your answer below: 6 TT 4…

A:

Q: x3-27 x+3x-7x+12 using direct substitution. Evaluate lim O a.) b.) c.) d.) x³-27 x+3x-7x+12 lim…

A: We can find the limit .

Q: Marginal Revenue for Gaming Mice The quantity of Sensitech laser gaming mice demanded each month is…

A: We are going to find out

Q: Approximate the value below by using a LOCAL LINEAR APPROXIMATIION. DO NOT just simply calculate,…

A:

Q: For the function: Show work. 9. a. Find the intervals on which it is increasing and decreasing. b.…

A:

Q: Set up and evaluate the definite integral required to find the area of the region between the graph…

A:

Q: Given f (x) = x² and g (x) = 2x − 3 find g(f(x))

A: See this solution in below.

Q: Experiments show that a colony of bacteria with sufficient food and no predators and with zero death…

A:

Q: By the definition of differentiability, select all the behavior where the graph of a function would…

A: A function is called is not differentiable at any point if its LHD≠RHD or a function is not…

Q: Perform the indicated operations on the given vectors: 3 v₁ = (9). (19) ₁2 = (₂) ₁5₁ = (-²) ₁ = (5)…

A: First I have written the length formula of a vector , just use that formula for the given vector v2…

Q: dt (2) Evaluate showing all steps the indefinite integral 14. (In evaluating the integral you may…

A: The given integral is 1/(1+et).

Q: Calculate 7 7 8 [x²dx=114 Sx²dx= 2 7 7 7 (6x - 9)² dx, given the following. 7 1 (6x - 9)²dx = 169 3…

A:

Q: Write and find the general solution of the differential equation that models the verbal statement.…

A:

Q: 3. Let R be the universal set and D = (-7,4], E = (0,8), F = {r: r ≤ 10, r € R} be the subsets of X.…

A:

Q: Check here for instructional material to complete this problem. Find the slope of the line shown on…

A: Given query is to find the slope of the line.

Q: dP dt A population P exhibits logistic growth according to the model =0.05P 1-- where the initial…

A:

Q: 12. Graph the function f(x) = x - 3| +1. Then identify the vertex, domain, and range. 4 2- -6-4-2 0…

A:

Q: Consider the indefinite integral r4x³ + 9x² + 27x +45 faz³ dx x4 + 9x² Then the integrand has…

A: Given integral:- ∫4x3+9x2+27x+45x4+9x2dx

Q: Prove the identity. 1-tan x 1+tan x Note that each Statement must be based on a Rule chosen from the…

A: We have to find out

Q: A company manufactures mountain bikes. The research department produced the marginal cost function X…

A: Given data, Marginal cost C'x=300-x3

Q: Consider the indefinite integral r4x³ + 3x² - 31x - 36 fA³ dx a = b = Then the integrand decomposes…

A:

Q: 2. Suppose that ƒ(4) = 2, g(4) = 5, fi(4) = 6, and g/(4) = −3. Find h/(4). a. h(x) = f(x)g(x) b.…

A:

Q: FIND THE eq of targeNT ед F(x) = (x² + 1)(x²³-1) at x = 1

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: y = 3x² +5 7x²-3

A: According to our guideline we are supposed to answer only the first question if you want any…

Q: (3y2 + 5x²) dx + 2xy dy = 0

A:

Q: Suppose a tank contains 200 gallons of brine containing 1 lb of salt. At time t=0, pure water is…

A: This question can be solved uisng the concept of differential equations.

Q: Find the curvature of the curve r(t) = (e−²t, 2t, 4) at the point (1, 0, 4).

A:

Q: 45. π/2 So xsin x dx

A: Given integral I=∫0π2 x2 sinx dx

Q: Solve for x. Express your answer as an integer or simplified fraction. 5x-7 7x+3 5 2 О А. OB. O. C.…

A: To find the value of x.