Find the derivative of f(x) = In (x* V8 – 6x), using the properties of the logarithm. Provide your answer below: f'(x) = D

Q: S(z²+2)² (x=2)dr, some are shorter or longer but correct here are more than one approach that can be...

A:

Q: Solve the following incqualities

A: The given inequality is: x2>x3

Q: dy Find using implicit differentiation, for the equation æ4 + yt = 7 is dæ O O O

A:

Q: Stan? ydy 7 3 4

A: Given,            ∫tan734ydy

Q: If 8 cos (3x) < g(x) < 8 + 2x for all x. Find lim g(x)

A:

Q: Find the total differential of the function f(2, y,) : y + z' df = dæ + dy + dz (y+2)* (y+2)* y+z dz...

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo_and then find the nth Taylo...

A: Taylor polynomial of f(x) of degree n about x=a is given by, pn(x)=∑k=0∞fk(a)k!(x-a)k

Q: 2 5. f(x) = x3

A: We will use the definition of a derivative to solve this question.

Q: The cost C, in dollars, of renting a moving truck for a day is given by the function C(x) = 0.20x + ...

A: As per request Solve d, e and f part only

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

A: This question is based on indefinite integral using partial fraction.

Q: Find the complete solution for the DEs.

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: We will find the general term of the given sequence and then determine whether the sequence is conve...

Q: 28) S idx=f /2dx, 28) B)5/2.C D)글지/2.c 29) J 3.²dx=. 29) A) x3 B 3x2 + C C) 6x + C D) x3 + C 30)5sin...

A:

Q: 2х dx 1. a (х — 2)2(х + 2)

A: The integration of the integral is  2x/[(x-2) 2(x+2)]. Repost the next questions .

Q: x+4 dx Vx 6. 7. 4Vx + 2xVxdx 8. (x2 – 1)*dx

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other ...

Q: Perform the Integrations y cos 4y dy . Use the editor to format your answer

A:

Q: *dx 2x 1+e

A:

Q: consider the following  5^3x+1 = 3^x-5 a) find the exact solution of the exponential equation in t...

A:

Q: 972+2z-5 Evaluate lim, A. undefined О В. 1 OC. ОС. — -1

A:

Q: Let C be the graph of the equation In(3y – 2e") = sinh“(Tx) – tan(y – 1). | dy (a) Find dr (b) Find ...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Determine the components, magnitude and direction of the following vectors: 1.) vector with initial ...

A:

Q: ; find value of matrix A eigen -2 A = 2. 2.

A: To find the eigen value of the given matrix A , we have to evaluate the determinant of A-λI and then...

Q: 2х dx dx 1. *) (x - 2)2(x + 2) 3. x(x2 + 1)2 2x? + 1 2. (x – 1)(x – 2)(x – 3) dx | |

A:

Q: Find Z, * Z, and Z1/ Z2 Write the answers in rectangular form (a + ib). Зл 2(cos+i sin),Z, = 4(cos +...

A:

Q: Evaluate lim p(x) which P(x)={-+1, x1 O A. lim p(x)=0 and lim p(x)=0, then, lim p(x)=0 lim_ p(x)=-2 ...

A:

Q: A linear function is given. Complete parts (a)-(d). Ay 10- g(x) = - 3x + 4 8- 6- 4 (a) Determine the...

A: The equation y=mx+c represents a line, where m=slope and c=y-intercept.g(x)=-3x+4a) m=-3   slope is ...

Q: Question 1 Find the indefinite integral of F (1) = / te*dr. A 28 e to the power of 4 t squared end e...

A:

Q: ution 1- u? cos x and dx 1+ u? grand to a rational function of u, and t al. If you have a CAS, use i...

A: We have to find the indefinite integral according to the given information

Q: 5. Simplify e3y + In y.

A:

Q: III. Given f(x) x+4 do the following: a) Find f-1(x) (if it exists). b) Determine the domain and ran...

A:

Q: Sketch two functions F such that F = f. In one case let F(0)=0. And in the other, let F0)=1. 1 f(x) ...

A: F'(x)=f(x)x&gt;1:f(x)=1∫ F'(x) dx = ∫ f(x) dxF(x)=∫1 dxF(x)=x + CF(0)=0+C0=0+CC=0F(x)=x ;   x&gt;1x&...

Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...

A: Here, to evaluate the given integral use the trigonometric substitution. ∫x2(x2-36)32dx

Q: Evaluate ffp(4xy + 1) dA, where R is the region in the upper half-plane bounded by the circles a? + ...

A:

Q: Find the area of the region between the parabola y = 9 - x² and the x-axis. Round your answer to thr...

A: We can find the area as follows:

Q: Evaluate 区

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

Q: 1 dx = Blank 1 1+ 8x Evaluate the Definite Integral

A:

Q: 8. f(x) = 2x + Vx

A:

Q: Write each equation in logarithmic form. 4. 3 - 27 5. 5- 125 6. () 256

A:

Q: 2. Differentiate y with respect to x of the equation y=- X+1 3. Solve for x of the equation 2 In(x+1...

A: (2). Given: y=x2x+1   We know that; The Quotient rule: fg'=f'·g-g'·fg2   From the definition of the ...

Q: tan¬'(5x) y = V(4x – 3x°)³ xª

A:

Q: Find Z, * Z, and Z,/ Z2 Write the answers in rectangular form (a + ib). Z, = v2(cos" +i sin), Z2 = v...

A: Need to find Z1·Z2 and Z1Z2 Given information: Z1=2cosπ4+isinπ4, Z2=3cosπ12+isinπ12

Q: Given f(x) = 2/x + 5 and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x)).

A: Let's find. 

Q: The number of bacteria "N" present in a culture increases at a rate proportional to the number prese...

A: This question is based on application of differential equation.

Q: Read, understand, and solve the given item. Write your solutions on a separate sheet of paper. Sx², ...

A: To find out the continuity of the function at x=0 

Q: Let a = ci +j and b = 6i+ 8j. Find c so that the angle between a and b is Round your answers to four...

A: Here the given vectors are a=ci+j &amp; b=6i+8j

Q: - y = x tan x

A: y=xtanxDifferentiate on both sidesThen  dy=dydxdxwhere dydx=ddx(xtanx)                   =xsec2x+tan...

Q: Rewrite the following integral using substitution: 6"s in 3xdx

A:

Q: Given two planes: 3x + 9y-4z = 0 and x + y- 5z = 8, determine the value of the angle between these t...

A:

Q: Write out the form of the partial fraction decomposition. (Do not find the numerical values of the c...

A: