Which expression is the derivative of the function y = 9e-8 O No correct answer O9e-8 -8t O 72e-8 9e-8 O-72e- -8t

Q: 1. 2. 3. Principal Nominal $10,525 $11,500 $25,550 Interest Rate Compounding Frequency 0.00 %…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: S₁ 2 63 Evaluate: A 16 B 105 C) None 16″ D 105 2π E 63 sinxcos³xdx is equal to

A: We can find the integration as below

Q: 20. √9-5x² X -dx

A: SOLUTION-

Q: The atmospheric pressure P(h) (in pounds per square inch) at a height h (in miles) above sea level…

A:

Q: dy = 26² Q2/B) Solve the following differential equation by using homogenous D.E method dx

A:

Q: A balloon is released from the ground 100 meters from an observer. The balloon rises directly upward…

A: We have to choose to correct option

Q: 19. dx 1 Je²x_8 2x -8

A: The solution is given in the next steps.

Q: Which of the following statements is NOT true about the derivative of the function? The derivative…

A: The geometrical meaning of derivative is , the slope of the line segment tangent to the function…

Q: (D³ - 2D + 4)y=0; y = -2, Dy = 8, D²y = 0, when x = 0.

A:

Q: If z = x² dz = Az = - ·xy + 4y² and (x, y) changes from (1, −1) to (0.96, −0.95), compare the values…

A:

Q: 4 -4 x3 16-x² dx is equal to

A:

Q: 5. 4 f sin + 2zdz

A:

Q: Let's practice on how to complete the square because this will help us to identify whether the given…

A: see below the answer and calculation

Q: dx (5-4x-x²) 18. 8. f

A:

Q: S- (A) True B) False tan r²dr=2x tan.x²

A:

Q: 8. +1 (x-1)³ -dx

A: Integration

Q: Find the equations of the tangent line to the ellipse x² + 4y² + z² = 9, x = 2 at the point (2, -…

A: equation of tangent is : z-z0 = m (y-y0)

Q: Question 11 Evaluate: S₁ 2 A 63 16 B 105 C) None 16″ D 105 E 2π - 63 sinxcos³xdx is equal to

A:

Q: A 38. Which of the following equations is the correct representation of the perimeter (P) of the…

A: Given:  38) Norman Window:

Q: 5 dx Evaluate: (x-3)² 1 A B C D E -1 ∞o (does not exist) 1 0 None

A:

Q: 6x9-x5+ (A) 2n (B) I (C) 2 (D) 0 E) None √√4-x² dx is equal to

A:

Q: 1. y = Ax² + Bex 2. y = C₁ ex cos3x + C₂ ex sin3x 3. y C₁e* + C₂e²x + x 4. Iny = C₁e* + С₂е¯* 5. x =…

A: As you have asked multiple questions so that I have answered first question as per the guidelines.

Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: Being carefule to allow for parts of the curve being both above and below the x‐axis, to determine…

Q: (a) An archaeological artifact is found to have 45% of its original carbon-14. How old is the…

A: Half life and decay

Q: 9. [cos° { xsin’ } xdx

A: The objective of the question is evaluate the indefinite integral.

Q: Using chain rule, what is the (2x-¹-3x)³ ? da O 24+108x²+54xª+81x6 x4 -24+36x²+54x4 -81x6 x4 O…

A: The objective of the question is find the derivative .

Q: B D E 2x None 2 A √ N dx is equal to

A:

Q: Initial Knowledge Check Write the domain and range of fusing interval notation. 3 4 (a) domain =…

A:

Q: Determine the absolute extreme values of the function f(x) = sinx - cosx + 6 on the interval 0 ≤ x ≤…

A:

Q: f(x, y) = x³+y³-300x - 75y-3

A:

Q: S Evaluate: A None 1 dx (x-3)2 (в B D -I (E) ∞ (does not exist)

A:

Q: The position of a particle moving along the z-axis is given by s(t) = 3t2 +5. Use difference…

A:

Q: 20. S dr √3-4r-r²

A: On solving this we will get

Q: dx (16+x)³3/²

A:

Q: Evaluate the following integrals/limit/s: 1. S√16-x²dx

A:

Q: Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x.

A: As per Bartleby guidelines rule I am answering only first question as other questions are not a…

Q: 11. 5 [ese xdx

A:

Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

A: Given

Q: 1/B) Find the length of the cardioid 'curve: r = 1 + cose

A:

Q: Question 11 [₁ Evaluate: 2 A 63 16 B 105 C) None 16л D 105 2n E 63 sinxcos³xdx is equal to

A:

Q: 1. Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x.

A:

Q: What is the change of y with respect to x of the function s(x) = (3x¹ + 9x³)(x² - 6x +9) ? -9x²…

A:

Q: Find the derivative of the following functions by using the limit definition of the derivative.…

A:

Q: f(x)= (4x² +8x+2)

A: We can find the derivative using chain rule as below.

Q: One of the correct steps to evaluate A B) None Ⓒ [+ + [ 1².40-16.4040] -S de cos 40d0 + [ 140 + 1 =…

A:

Q: 4. Find an equation of the tangent line to the curve, f(x) = definition of the derivative. (Don't…

A: On solving this we will get

Q: NEED ASAP using washer's method, x^2+y^2=25, x+y=5 (smaller area); about y=0

A: This question has been solved using the washer method.

Q: Let's practice on how to complete the square because this will help us to identify whether the given…

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question... for…

Q: Consider the solutions Y(t) of with a, b, d constants and a, b>0. Calculate lim y(t). t-x Hint:…

A: This question can be solved using the concept of linear differential equation and limits.

Q: 3. Test the following series for being convergent or divergent: (2) Σ < (3n)! n!(+1)!(+2)! (c) Σ…

A: