9. By the use of logarithmic differentiation technique, find y' of y= x³ √x + 1 (2x - 1)

Q: Verify the formula by differentiation. 10 S TOX -dx = In | 10x - 11| + C, x‡· 10x - 11 11 10 The can…

A: d dX(lnx=1xd dx(constant)=0 given   ∫1010x-11dx=ln10x-11+c

Q: In 4-5, determine the intervals in which the function is increasing, decreasing, or constant. 4. -2…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: T -T/2 (-1) 4 2₁ 1 0 -1 -2₁ -3- 0 ㅠ 6 TT/2 1 TT

A: Given query is to find the equation of the graph.

Q: 1 15 +7 Σ η = 1 ? ✓ O converges O diverges 1 + 7 W

A: To check the convergence and divergence of the series

Q: Use a table of integrals to evaluate the following indefinite integral. The integrals may require…

A:

Q: Find a quadratic function f whose graph matches the one in the figure. -10 f(x) = (Simplify your…

A: Given query is to find the function of the graph.

Q: Complete the steps below to implicitly take the derivative of the original equation. 6x + 9y = 2 dy…

A:

Q: Use Newton's method to approximate a zero of the equation 5x³ + 2x + 3 = 0 as follows. Let ₁ = 2 be…

A: Use Newton's method iteration formula: xn+1=xn-fxnf'xn   The given equation is: 5x3+2x+3=0 and x1=-2…

Q: Find the inverse Laplace transform f(t) of the function_F(s) = ln s² +9 s² + 16

A:

Q: Supposef is continuous on [1, 8] and differentiable on (1,8). If 12 ≤ f'(x) ≤ 13 for all values of x…

A:

Q: Suppose u and v are functions of x that are differentiable at x=0 and that u(0) = -5, ur (0) = 2,…

A: given  u(0)=-5 u'(0)=2 v(0)=-7 v'(0)=-3

Q: 6. Solve log₂ (x) + log₂ (x − 3) = 2.

A:

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

A:

Q: Calculate the marginal revenue if q = 10. Round your answer to two decimal places. MR = i

A: Topic:- application of derivatives

Q: Determine the different possibilities for the numbers of positive, negative, and nonreal complex…

A:

Q: 1) Find the following sums: a) (³-5j²) for j = 1, 2,..., 25. Notice that the index variable is j in…

A:

Q: Find ܐܐܝ ܐܝܐ ܩܐܐ DESE 4y +x=7y

A:

Q: Question 2 All of the following are nonlinear equations except O log x + = √2 Oelnz - ]ne + ey=T…

A: We need to choose correct option.

Q: Let f(x) = In (x^5) f'(x)=? f'(e^4)=?

A: Given function is fx=lnx5 We need to find solution for following cases, f'x f'e4

Q: Resale Value Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its…

A:

Q: Use the sum and difference identities to rewrite the following expression as a trigonometric…

A: NOTE: Refresh your page if you can't see any equations. . the given expression is

Q: 2) Suppose that f(x) = 5x² over the interval [1, 2]. Let Ax = 1/n. Let x₁=1+iAx. Find the limit of…

A: Given: fx=5-x2.Formula to be used: ∑i=1ni=nn+12 ; ∑i=1ni2=nn+12n+16

Q: Find the derivative of f (x) f'(x) 2ex + x³. HO PW

A: dexdx=ex  dxndx=nxn-1

Q: For the function we have Select one: O True O False 3x - 2, 25 ƒ(x) = { 2²ª −2ª, «≥5 Ignore "Give…

A: (1).    Given:f(x)=3x-2,              x<5x2-2xx≥5

Q: State the quadrant(s) in which an angle in standard position with measure 8 lies under the given…

A:

Q: Find the general solution of each of the following homogeneous equations. Use the method of…

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

Q: 4s + 1 s³ - 3s² + 3s 1 a. Find the partial fraction decomposition of F(s): Consider the function…

A:

Q: B. We have: 62²-24 lim, 4 z²-16 (Enter DNE if the limit does not exist.)

A: According to bartleby guidelines wes supposed to do the first one of multiple questions kindly…

Q: Use the second derivative test to find the location of all local extrema in the interval (0, 2) for…

A:

Q: Find (2¹+3) d. dx

A:

Q: π The equation below gives the position s= f(t) of a body moving on a coordinate line (s in meters,…

A: The position equation of the body is:s(t)=1-9 sin(t)

Q: SECTION (d) 7. Find the volume of the solid formed by revolving the region bounded by the graphs of…

A:

Q: The graph of a function is given. Find the approximate coordinates of all points of inflection of…

A:

Q: 3. Find the arc length of the graph of f(x) = (3)(x-7)3/2 on the interval [7, 14]. (a) (7) 3/2 (b)…

A:

Q: (a) _x²y" + 3xy' + y = 0 (where x>0), given solution yı = ५।।

A:

Q: State the quadrant(s) in which an angle in standard position with measure lies under the given…

A:

Q: Find the exact x-coordinate where there is a horizontal tangent line to the graph of f(x) = x5".…

A:

Q: Plot and label the points being described and identify the coordinates of the points. A is 5 units…

A: Topic = Coordinate geometry

Q: If f(x) = then f'(x) = f'(3) = t³ dt

A:

Q: T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by 4--50x+700…

A: Given demand function:- q=-50x+700 q=number of shirts you can sell in one weekx=charge of one shirt

Q: (b) _x²y″ − 2xy' + (x²+2)y = 0, given solution y₁ = x sin x -

A: (b) The differential equation is given as , x2y''-2xy'+x2+2y=0              .....1

Q: 2. Find the anti-derivative of a. f(x) = 2x¹ - 5√√x³7−2e* ++ 3 1 1+x²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Given that find the Laplace transform of c{√= ca π -cos(4t) ㅠ cos(4t). c{cos(4t)} - -4/8 √√s

A: NOTE: Refresh your page if you can't see any equations. . the given Laplace transform is . and the…

Q: plane is flying at a constant altitude of 1 mile and a speed of 250 mph toward an observer on the…

A: let vertical distance = y horizontal distance = x hypotaneous distance = s according to pythagorous…

Q: a. Write a function F(t) that describes the value after t years of a $2000 investment that increases…

A: need to write down the given information as a function.

Q: Problem 3 Evaluate the following integral: 1 = √²₁²₂₁ √√ntе² + 1 e²t+¹ 8(1 − e²) u(t + 1) dt a) 0 b)…

A: Integration

Q: If an angle in standard position measures (30) in which quadrant does its terminal side lie? - 17T

A:

Q: You invest $3075.00 into a savings account and make no deposits for 10 years. The account compounds…

A:

Q: Find the values of x for which the series converges. (If the answer is an interval, enter your…

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

Q: Question number 23 please

A: We have to find the local extrema.