The derivative of the function y = log2(In(x)) is: 1 1 y': x In 2 In x y' = x In 3 ln x the above the above y' = x In 5 ln x the above none of them

Q: Question 21 Evaluate the first derivative of the implicit function: 4x2 + 2xy + y² = 0 4x +y (A x +y...

A:

Q: If f(x) = f (x) „sin(x) e Then f'(0) = ?

A:

Q: 2 AHIJ ARST Solve for the value of y. R. y-4

A:

Q: sin 2x 2. lim- X0 2x+x

A:

Q: Determine whether r{(1+E)*"}.. Converges or diverges.

A:

Q: B) For the equation below find if the point (2, 3) is on the curve and find the equation of the tang...

A:

Q: 3dx For f x-Vx = O x= u^(1/2) x= u^2 x= u None of the choices

A: Given integration is  ∫3 dxx-x.

Q: Question 20 Evaluate lim, - o(1- sin?e)/2 A 0 B в) 1 2 D) з

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. sin (4) dx +C

A:

Q: Problem 28: The parametric equation of a curve is given as x = 4t – 3, y = 16t2 – 9. Compute the len...

A:

Q: 4. Verify that the function y = is an (4 – 12) explicit solution of the differential equation y' = 2...

A: To veryfy that the function y=14-x2 is an explict solution of the differential equation, y'=2xy2.  

Q: Find the value of this Multiple Integral. ,(x² + 3xy²) dx dy

A: Here we have to evaluate I=∫02∫0yx2+3xy2dxdy

Q: dx 16. S 9x2-4 |3x+2 A. In +c B. In D. tn +C + C + C |3x+2 |3x+2| 3x-2

A: This is basic integration problem

Q: If lim f(x) = +o, then f(a) is undefined. For those who have trouble viewing the Mathematical expres...

A:

Q: -1 to be continuous at s 1. -1 Define f(1) in a way that extends f(s) (1)=(Type an integer or a simp...

A:

Q: x' – 4x² +7x-9 x-3 A x3 4x + 3 In Ix-31+ C * * + 4x + 3 In Ix-31 + C C x3 - 3. 3 B x3 D x3 *+ 4x + 3...

A: ∫x3-4x2+7x-9x-3dxthis is an improper fraction, hence do divisiondivision algorithmdividenddivisor=qu...

Q: Determine the total work, by Green's theorem, performed by the force F(x, y) = field, on a particle ...

A: Given

Q: By completing the square, dx the integral S equals: 2x2+8x+10

A:

Q: Hyp

A: We will find what the graph is called. 

Q: Use the first derivative to find all critical points and use the second derivative to find all infle...

A: Explanation of the answer is as follows

Q: An unknown radioactive element decays into non-radioactive substances. In 920 days the radioactivity...

A:

Q: Given lim f(z) = 5 and lim g(x) = 6, evaluate: %3D %3D lim (– 6f(z) + 6g(z)) = 66 z+7 lim (– 6+ 6f(x...

A:

Q: Determine if the given function is continuous at a given value of x. 2. f(x) = x² - 4x – 2 at x = 1 ...

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines...

Q: Find the global minimum of the function f (x) = 1+x² on the interval [1, 10] . Write DNE is there is...

A:

Q: The solution of the given equation (1+x²) y' + 2xy = 4x² is: O y=[(4x^3)/(3(1+x^2))]+C(1+x^2) O y=[(...

A:

Q: ; find value of matrix A eigen -2 A %3D 2. 2.

A: I am attaching image so that you understand each and every step.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx = (9x + 8)...

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact ansuwer. [1+si...

A: Given problem:- ∫ [1+ sin2(θ) csc(θ)] dθ 

Q: 3. ſ(4 csc2x cot2x + 2sec² 2x)dx A. 2 tan2x – 4 csc2x + C C. tan2x – 2 csc2x + C B. - tan2x + 4 csc2...

A: To evaluate:∫4 csc 2x cot 2x+2sec22xdx  

Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, –7) and the vector component of v orth...

A:

Q: Calculus: In a certain city, the probability density function for x minutes to be the length of a te...

A:

Q: Investigate the three special functions by performing the following task. Write an a comparison of y...

A: Let's find. 

Q: Evaluate the limits of the given functions by completing the table of values and its graph and fill ...

A: Let's find. 

Q: How could you find an unknown number missing from a fact triangle?

A:

Q: Trace the curve of the following equations by giving the a. Intercepts b. Symmetry c. Vertical Asymp...

A: Equation of a curve is giveny2=2x4-5x3+3x2+4x-20x2-3x+2

Q: S cos?x-ex

A:

Q: x* dx (9x² + 49) - (92 - - (9x* + 49) +c V9x² + 49 18.

A: This is a problem of integration. Based on the general formula we will solve the integral problem.

Q: Find the global maximum of the function f (x) 2x³ + 3x? – 12x + 4 - on the interval [-4,2].

A:

Q: 2x3+3x dx x*+3x2 C A 2 In I x4 + 3x² I+ C In I x4 + 3x² |+ C In Ix4 + 3x? I + C - In Ix* + 3x? | + C...

A:

Q: 1. * S(2 cot?0 – 3 tan²e) de A 2 cot O – 3 tan O + 3 O + C C - 2 cot O – 3 tan O + 3 O + C B 2 cot e...

A:

Q: 2. Express in indicated derivative in terms of the function F(r). Assume that F is differentiable. D...

A:

Q: dx 4) S JaNx - 6) dx 5) N-x2, 4x + 5 6) S tan x dx Vsec2 x - 4

A:

Q: 2x + 6, r 6 is continuous at %3D I = 6. Justify the conclusion. (i) f(6)= (ii) lim f(r)= (iii) lim ...

A: The given function,  fx=2x+6,x<612,x=6-x+24,x>6

Q: Question 26 Find y' by implicit differentiation for 2y³+4x2 – y = x6 . - V 6x5 – 8x (A 6y2 – 1 6x+ 8...

A:

Q: Question 5 x3+5 Determine f '(x). f (x) = (A 1- 10x-3 B 3x2 3 2 (D 5x4 + 10x 2.

A: Given: fx=x3+52   As we know that; The sum./difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 A...

Q: V1+x² -dx

A:

Q: The management of Porter Airlines finds that its monthly marginal revenue can be approximated by R'(...

A:

Q: The design commonly used in one residential community is of majestic doors and windows. In this comm...

A: Given, The front window of a newly built house is 7 feet at the base. The top of the window is 12 fe...

Q: 8a-4 Identify all the points of discontinuity of the function f (x) = [f(x)=(8x- (4x3-) 4)/(4x3-x)]....

A:

Q: 2. Find the area bounded by the curves y = x? - 2x + 2 and y = - x+ 2. (о, 2) (1, 1)

A: