27. 28. 29. Answer+ - S₁³ VE [² (1 - 8v³ + 16v7) dv + √x dx dt

Q: For x > 0, the function F is defined by Find F'(x): - Lo In(x) F(x) = F'(x) = (³+3) dy

A: dxndx=nxn-1d dx(constant0=0f(x)=∫lnx2(y3+3y)dydlnxdx=1xlnxn=nlnx

Q: Let f(x) = √√2 x ln(2x - 1). Use the local linear approximation of f(x) at xo = 1 to estimate the…

A:

Q: Can you clairy what answer goes where

A:

Q: Consider a right triangle with b as the base, h as the height, and as the angle opposite the height.…

A: Given a right triangle with b as base and h as height as shown below.

Q: etermine the average value of -3- 2 f(x) = x² over the interval [0, [0, 2].

A: Given  f(x)= x2

Q: tan¹ (x)sec³(x)?

A:

Q: Consider the indefinite integral transforms the integral into: 7 Ա ["=3 du u² S= 1 of the du of th 7…

A:

Q: Consider the function F(x) = fx et dt. Find F'(x): Check F'(x) =

A:

Q: Find the sum of the series 005 1. sum = e-2 2. sum = 4 3. sum = 5. sum = Σ (-1) ² n=0 e² 4. sum e…

A: As per the guidelines I can solve only first question

Q: Doctors use radioactive iodine as a tracer in diagnosing certain thyroid gland disorders. This type…

A:

Q: 2. (D²+3D-4) 11 cos 2x

A:

Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) liters 110e…

A: Given an oil storage tank ruptures at time t = 0 and oil lesks from the tank at the rate of r( t ) =…

Q: m of linear equations x +y = 3z = 2 2x + 3y + 2 = 0 3x + 4y = 2 =1 using 23 the

A:

Q: Compute the inverse of the following matrix 1 -3 5 10 4 7 0 6 -8

A:

Q: Given x = 84t + 44 and y = (i) dx dt dy dt (ii). = = 1092t² + 115 (iii) dy dx (write the simplified…

A:

Q: z = u2 . - 80 - ພ9, calculate 18 For z = 83. ປັບປັບວິນ 83 2 ປັບປັນອົພ

A: Given z = u2.8v-w9

Q: Find the values of all the trigonometric functions from the given information 7 3π/2 < t < 2π 6' sin…

A: We need to find out the values of trgonometric func

Q: Blank 1 0 Question 22 . If f'(x) = 4x³ + 3x² + 6x and f(1) = -3, then C = ANSWER: C = Blank 1 Blank…

A:

Q: During the summer, Southeast Pools services 120 pools in the area. Each pool needs 100 ml of…

A: Let x buckets of chlorine be required

Q: Find the center of the sphere given by x² + y² + z² + 4x + 8y + 2z -4 = 0. 1. center = (-2,-4, -1)…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A leaky 10-kg bucket is lifted from the ground to a height of 16 m at a constant speed with a rope…

A:

Q: The series n=1 (2n − 1)! (n + 2)! O is absolutely convergent O is conditionally convergent, but not…

A:

Q: 2 OPTIMIZATION PROBLEM 2 We are making a poster with a total area of 600 in². The poster is supposed…

A:

Q: Find an equation of the tangent plane to the following parametric surface, r(u, v)  =  (u2 + 6) i +…

A:

Q: Find the most general antiderivative. [(-3 cost) dt

A: The given integral, ∫-3 cos tdt We have to find the given antiderivative.

Q: Multiply A321 -1 10 -7 0 Show your your work!

A:

Q: Complete the table given the D.E. y(4) + 3y" - 4y = 0 Differential Operator Form Auxilliary Equation…

A:

Q: 8√x √x dx

A: We need to solve∫8xxdx

Q: TOPIC: LIMITS Evaluate the following limits. If the following limits produce an indeterminate form,…

A: To evaluate limits.

Q: The magnitude of the rate of decay of a radioactive material is 0.71 times the amount of the…

A: The magnitude of the rate of decay of a material is 0.71 times the amount of the material present.…

Q: An equation of a parabola is given. y² = -32x (a) Find the focus, directrix, and focal diameter of…

A: To find focus directrix of given parabola.

Q: b. z = x² + 3wxy + w², with x = 2t + 1, y = e, and w = 3-t².

A:

Q: дz at with x = 3rt and y= E. Use chain rule to find x² y i. Z =

A: according to bartleby guide line we do only first part of multiple questions 1)  z=x2y,   x=3rt  and…

Q: 38x The function f(x) : 31 + 2x² value occurs by using calculus. has one absolute minimum value.…

A: We need to find out the value of x where absolute minimum value occurs.

Q: A ladder is leaning against a vertical wall. Due to the smooth ground, the foot of the ladder is…

A: if x is the horizontal distance of the foot of the ladder from the wall and y is the vertical…

Q: Evaluate the Dot Product u * (v + w). If : u = (-5, 7) v = (1, 6) w = (-11, 2)

A:

Q: 12. Which of the following is equation is an exact DE a. (x²+ 1)dx + xydy=0 b. xdy+ (3x-2y) dx = 0…

A: standard form of differential equation M dx + N dy = 0 if ∂M∂y = ∂N∂xthen given DE will be exact

Q: Evaluate the following integral,     ∫     ∫   S z dS, where S is the part of the sphere x2 + y2 +…

A:

Q: Q-5: Using logarithmic differentiation find f'(x) if a) f(x) = *2x+1 √1-3x b) f(x) = xx, x > 0.

A:

Q: 2) (sir²³x.co³x dx 2 сотх Using power rule

A: To evaluate the following integral.∫sin2x cos3x dx

Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 36 cm to a length…

A:

Q: Write the system in vector matrix form: b) x2 O d) C X' X² 3 0 -3 -2 2-2 1 2 1 -4 3 04 -1-3 2 2-22 3…

A:

Q: 4) Find the mean and rms value of the voltage v given by the equation V=45sin(wt)

A:

Q: If u=sec 0, then A B 1² D du Г ©√¹² √u du C 1 1 SV² u√u su du 1 #/4 du tan 0 √s sec 8 de=

A:

Q: X Suppose Suppose f(t)dt = x - 9x + 8. Find f(x). 3 f(x) = 1

A: This question can be solved using the concept of first fundamental theorem of integral calculus.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A:

Q: Question 19 If f'(x) = cot² x + 1 and f(1) = 1, then ANSWER: Blank 1 Blank 1 Add your answer 1 f(0)…

A:

Q: Question 19 If f'(x) = cot²x+1 and f ANSWER: Blank 1 KIN ______ 1, then 1 f(0)

A:

Q: 1. ſ(x² + x)(xª + x−¹ + 2)dx

A: We can evaluate the given integral in the below steps.

Q: Solve the problem. Suppose a business can sell x gadgets for p = 250 -0.01x dollars apiece, and it…

A: