7 Find f(x) if f'(x)= and f(1) = 4. O A. f(x) = -28x-5 +32 -5-3 O B. f(x) = -28x 7 3 O C. f(x) = OD. f(x)= = X - - 19 3 7-3-3 3

Q: 9. If dy = xy² and if y = 1 when x = 0, then when y = 3, x is equal to dx 0 -0 DIE

A:

Q: Q5: a\State and prove the theorem of (continuity-differentiability), then find the value(s) of x…

A:

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: Find the Laplace transform of sinhbt. Recall that coshbt = ebt L {sinhbt} L { sinhbt} O L{sinhbt} O…

A:

Q: Solve the equation. (Enter your answers as a comma-separated list. Use n as an arbitrary integer.…

A:

Q: Find the Laplace transform of coshbt. Recall that coshbt = OL{coshbt} OL{coshbt} O L {coshbt} O = =…

A:

Q: A store is deciding what types of fruit to stock nearest to the registers. They can either stock…

A: Let's find maximum potential revenue fruit.

Q: Find the standard form of the equation of the ellipse with the given characteristics. y 10 2 N 4…

A:

Q: Find the nth partial sum of the arithmetic sequence for the given value of n. 0,-9, -18, -27, ... n…

A: As we know that; The formula for the nth partial sum of arithmetic sequence is: Sn=na1+an2 Where; a1…

Q: Find the coefficient a of the term in the expansion of the binomial. Binomial (z³ - t)13 3 = Term…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform.(Write your…

A:

Q: Solve this in excel using solver step by step 2x-8y=11 9x+3y=5

A: Given that, the system of equations is                   2x-8y=119x+3y=5 we can write the…

Q: Find an equation of the tangent plane to the surface x² + 2y² + z² = 175 at the point (5, -5, 10). O…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y""+ 2y" -y - 2y = sin(4t), y(0)…

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Topic- Absolute Extrema of a function

Q: (a) Determine a differential equation for the velocity v(t) of a mass m sinking in water that…

A:

Q: Evaluate the following improper integral 8 3 [x²²³x x² - x 2 dx.

A: Use substitution method for solving the integral.

Q: Factor the expression and use the fundamental identities to simplify. There is more than one correct…

A:

Q: √79 and the x-axis on the interval [0,27] is revolved about the y-axis. Use a table of integrals to…

A: We are asked to find the volume of the solid is formed.

Q: Compute the values of dy and Ay for the function y = 22 + 4z given z = 0 and Az = e Round your…

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

A:

Q: Find f '(x) and f '(c). x + 2 X-4' f'(x) = f(x) = (-4x+2) 1-x f' (9) = 4.25 X c = 9 X

A:

Q: An epidemic is spreading at the rate of 11e0.2t new cases per day, where t is the number of days…

A:

Q: Find F as a function of x and evaluate it at x = 2, x = 5 and x = 7. -L₂₁ (t²³ + 6t-2) dt F(x) = =…

A:

Q: Evaluate the definite integral. [2²5 ( x - 11/12) 0x dx 4

A:

Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an…

A:

Q: 8. Show the following limit does not exist: ay +1 lim (au)-(1,-1) 22²-2²

A:

Q: Answer true or false. If f is not plecewise continuous on [0, 00>), then {f(t)} will not exist. O…

A: Note that, L{f(t)}=F(s)=∫0∞e-stf(t) dt...(1)

Q: Evaluate the indicated partial derivatives. f(x, y) = 625x¹ - 3³ fx(5,3)= fy(5,3)=

A: Solution ) f ( x , y ) = 625 - x4 - 3y3 Partial differentiate with respect to  x  fx = ∂/∂x (625) -…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: Find f" (1/2) when f(x) 2x+3. Round your answer to three decimal places.

A: To find f''12, when fx=2x+3.To round the answer to three decimal places.

Q: 7. For r(t) = 4 cost i+ 4 sint j+k, find the principal unit normal vector N at t = 0.

A: Please see the below picture for detailed solution.

Q: After t hours of work, a bank clerk can process checks at the rate of r(t) checks per hour for the…

A:

Q: Part 2 of 6 (b) Use the function to approximate the Canadian population on January 1, 2030. Round to…

A:

Q: A spherical snowball is melting at a rate of 9.2- min snowball's volume is 4500 cm³? The radius is…

A: Note that, the volume of the sphere is given by: V=43πr3 So,  dVdt=43π(3r2)drdt⇒dVdt=4πr2drdt...(1)

Q: For what values of x does the graph of f (x) have a horizontal tangent? (Round the answers to three…

A:

Q: Use logarithmic properties to expand the following logarithm as much as possible into a sum and/or…

A:

Q: Find a second-degree polynomial P such that P(1) = 3, P'(1) = 2, and P"(1) = 4. P(x) =

A: Given problem:- Find a second-degree polynomial P such that P(1) = 3, P'(1) = 2, and P"(1) = 4.

Q: A tank contains 300 liters of fluid in which 10 grams of salt is dissolved. Brine containing 1 gram…

A: Solution of given question is written in below steps.

Q: Problem 2 √√x-3 x-9 For the function above, please find the following: a) The domain of the function…

A: NOTE: Refresh your page if you can't see any equations. . as we know, the denominator cannot be…

Q: Step 3 Since the Mean Value Theorem is applicable, at least one point c exists in (0, 1) such that…

A: The objective of the question is determine the derivative and fill the boxes.

Q: Drag the points to sketch the graph of the given function. Determine whether f is continuous,…

A:

Q: For the function f(x,y)=(4−x^2−y^2)/−5, find a unit tangent vector to the level curve at the point…

A:

Q: (1) Consider the following integral 1-y² LI /2-x²-y2 1 x²+y² x² + y² + 2² (a) Convert the integral…

A:

Q: BIARI dr x Cos (1-1)dt b) sin² x c) cos³ x d) - cos²x

A:

Q: Use the model A = Pet or A = P1+ for years. If a couple has $50,000 in a retirement account, how…

A: Please see the below picture for detailed solution.

Q: Question R is the region bounded above by the graph of f(x) = 2x and below by the x-axis over the…

A:

Q: If sin z 8 , x in quadrant I, then find (without finding x) 9 sin(2x) = cos(2x) = tan (2x) =

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

Q: Q13) S 3+eZx dx

A: we can solve this as follows:

Q: Find the vertical asymptote(s), if any, of the function below. If there are none, select "none" for…

A: We have to find the vertical asymptote.