Write the following difference as a single logarithm. Assume all variables are positive. log5 (5) log5 (12) - = The answer format in lowercase characters is: log_base (number) Spaces in the answer are optional.

Q: Write the following sum as a single logarithm. Assume all variables are positive. log3 (7) +…

A: Given:- log37+log311+log3z+1

Q: Suppose that the average cost function is given by C(x) = c'(x)= xC'(x) - C(x) x² OA. f'(x)= In…

A: Topic =Derivative

Q: Is the function f: R → R defined by is f(x) = x² + 3x − 2 injective? Show clearly why or why

A:

Q: Calculate the successive average rates of change for the function, H(x)H(x) in the table below. xx…

A: Topic- Average rate of change  We are given values of function at certain points.

Q: The half-life of a drug in the bloodstream is 4 hours. What fraction of the original drug dose…

A: given half life of a drug in bloodstream is 4 hours

Q: Page 2 of 4 Evaluate fe3x (3x + 1)dx. Show ALL work clearly. If using the table of integrals for…

A:

Q: Find y(2) given the IVP (3xy+3y-4) dx + (x + 1) ²dy=0;y (0) = 0 16 27 - 12 17 13 25 07 8

A:

Q: Use the linear approximation to estimate (3.02)2(3.03)2=? compare with the value given by a…

A:

Q: 7. Evaluate the limit or explain why it does not exist. (a) (b) (c) lim (x,y)-(2,-1) lim (x,y) →…

A:

Q: Find the area of the region enclosed between f(x) = x² − 3x + 3 and g(x) = 2x² – 3x – 1. Area =…

A:

Q: Evaluate the following limits, if they exist. Where applicable, show all work. lim lim x²-3 lim…

A: As per our guidelines we are restricted to solve maximum 3 subparts of a problem.  Further please…

Q: 2a + bx Ex B f(x)=√√2a @f(x) = 3ax-5 x+b f(x) = 32²³ +26 ×-5c x-5c, a÷0

A: f'(x) = limh->0 f(x+h) - f(x)h This is the definition of derivative using limit.

Q: The temperature of a person during a certain illness is given by the following equation, where T is…

A:

Q: Determine whether the following curve uses arc length as a parameter. If not, find a description…

A:

Q: the negative direction? (c) Sketch a graph of the velocity function and the speed function on the…

A:

Q: Find the equation of the tangent plane to the surface determined by at x = 4, y = 2. 2= || 2 = 35 -…

A: z=35-x4y4at x=4, y=2equation of tangent plane is…

Q: Estimate the value of the limit (if it exists) by evaluating the function at the given numbers. (It…

A:

Q: Find lim f(x) if x →∞ 4x - 1 X f(x) 5.

A:

Q: Let s= f(x, y, z) and x = the following pieces of data do you NOT need? Ox(2, 5, 1) = 6 Of(6,9,7): =…

A:

Q: Find the solution to (ylnx) (lny) dx + dy=0. Ox(lnx-1) + In|lny |= C O xlnx-x= - In|lny | + C…

A:

Q: Evaluate the limit lim s→6 1 S 1 6 S-6 -

A:

Q: How is problem #8 done?

A: We will find the required.

Q: he spring stret

A:

Q: √(asinx-cos4x)² dx

A:

Q: I'm not sure I can read the answer correc

A: If f 'x>0 then fx is increasing.If f 'x<0 then fx is decreasing.

Q: Find for 07/8 dr de dr de || 7/8 = 3.

A:

Q: The population of country doubles in fifty years assuming that the rate of increase is proportional…

A: Introduction : Rate of change is usually defined by change of quantity with respect to time. Given:…

Q: Fin d Y = 4 = 1X₁ Y=0 - -0 2 X=0 X=1 volume + Kotate about x-axis

A: Please see the below picture for detailed solution.

Q: rate

A:

Q: Given a rectangular box. Lengths are in cm 2x X X

A: The figure of the rectangular box is  To determine: The rate of change of volume of the box with…

Q: Find +요. dy dx dy dx 4x =yfx =

A:

Q: 5 -x + y = 1/2/2 6 1 -X 10 -3 1 < x < 2

A:

Q: Should i put 62 on the other side making it -62?

A: The equation of sphere is x2+y2+z2+16x-2y+2z+62=0. We have to rewrite this equation.

Q: ,?,?>

A:

Q: Solve the initial value problem.

A:

Q: Please answer #9

A: The region would be between the curvesy=x and y=x. Intersection: x =x,x=0,1 The region can be…

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

A: Given query is to find derivative and the slope of the tangent.

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A: consider the given function f(x)=-2+x3 Find the first derivative of the function.  3x2…

Q: (xave cos (x²) 1-x4

A:

Q: Divide as indicated. - 25 4x-4 O A. B. ÷ 2 x +10x+25 2 x +4x-5 ²-25 4x-4 + 10x + 25 x2+4x-5 x²-25 x²…

A: To divide as indicated. x2-254x-4÷x2+10x+25x2+4x-5

Q: Find the volume of the parallelepiped determined by the vectors a=, b=, c=   Please make easy to…

A: Here we have to find the volume.

Q: Verify that p(x) = dy 7y²-14y = 2 Find do dx do dx 7x 14ce = 2 1-ce' (1-ce²x)² (Simplify your…

A:

Q: The eccentricity of an ellipse is 0.5, and the length of the minor axis is equal to 20. Find the…

A: To find the distance between the foci of an ellipse.

Q: 사 In a certain year, the average e-mail user sent or received 157 e-mails each day. The number of…

A:

Q: & 5. Radioactive decay. Gold-198 has a decay rate of 25.72% per day. The rate of change of an amount…

A:

Q: al places. ,0) 7, urve linder th of C curve plane red From ction Dosi- 21-23 Use Theorem 10 to 21.…

A:

Q: Question 19 >D Next If you know that f(x) = f'(x) = f'(x) and that f(-4)= 3 while f(-2) = 3e² then:…

A: here we have to find the integral.

Q: Find the derivative of y with respect to x. y = In dy dx || (x²+1) √√4-x 5

A: To find the derivative of y with respect to x.y=lnx2+154-x

Q: Consider the following function. Answer p(x) = -2- Slope: 2 Step 1 of 2: Find the slope and the…

A:

Q: Clear denominators in the following partial fraction decomposition and determine the constant B. 5x²…

A: Given;  (5x2+46x+73)/(x+8)(x+3)2= 1/(x+8) - B/(x+3)-4/(x+3)2