Solve by Cramer's rule +275-1I

Q: Evaluate the expression without using a calculator. log64 32

A: Given expression, log6432

Q: Evaluate the integrals ∫cos3 2x sin5 2x dx

A: Evaluate: ∫cos32xsin52xdx

Q: Assume f (x) = −4 / x. Find the equation of the line tangent to f (x) at (4, −1).

A: The given function is fx=-4x. To find the equation of line tangent at 4 ,-1. Solution: The given fun...

Q: Differentiate. y =  In sec x

A:

Q: dN The rate of the growth of species of bacteria is estimated by = 800 + et dt Where Nis the number ...

A: Given function is form of differential equation. we will integrate this function to get the N(t).

Q: In each of Problems 1 through 6, find the general solution of the given differential equation. 1.y″ ...

A: the given differential equation is: y''+2y'-3y=0 we have to find the general solution of the given d...

Q: Find the tangential and normal components of acceleration at the given time t = 0 for the space curv...

A: It is given that space curve is  rt=et sin t i+et cos t j+etk Find the tangential component and norm...

Q: Integral

A:

Q: Find the limit of the following sequence or determine that the sequence diverges. {((-1)n)/(n)}

A: Given sequence, an=-1nn

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning : The...

A:

Q: Determine the missing coordinates of the points on the graph of the function

A: Given: The graph is  The equation of the curve is y=arccos x. The points are 32,       , 12,       ...

Q: Maximum-volume cone A cone is constructed by cutting a sectorfrom a circular sheet of metal with rad...

A: Given information: A cone is constructed by cutting a sector from a circular sheet of metal with rad...

Q: The figure shows the graphs of the cost and revenue functions for a company that manufactures and se...

A: a). Profit function is, Px=Rx-Cx⇒Px=50x-10,000+30x⇒Px=50x-10,000-30x⇒Px=20x-10,000

Q: Evaluate the integral.

A:

Q: Evaluate the following limit. Use l’Hôpital’s Rule when needed.

A:

Q: Explain how to use the graph of f(x) = 2x to obtain the graph of g(x) = log2 x.

A: Given function is fx=2x. Graph of function  fx=2x is:

Q: -1.3f+0.4j-12-1+2.9f simplify the given expression given

A: The given expression is, -1.3f+0.4j-12-1+2.9f

Q: The average rate of change of a function over an interval is the same as the Instantaneous rate of t...

A: Given that the average rate of change of  a function over an interval is the same as the instantaneo...

Q: Passing through (4, -7) and perpendicular to the line whose equation is x - 2y - 3 = 0.Use the given...

A: Consider the following equation of line: x-2y-3=02y=x-3y=12x-32 Slope of the line is 12. Slope of th...

Q: Arc length of polar curves Find the length of the following polar curves. The complete limaçon r = 4...

A: Given: Polar curve is r=4-2cosθ.

Q: Find f(1) if f(t) dt = x- x + 2x2- 2, x >1. %3D

A: Given, ∫1x2ftdt = x6 -x4  +2x2 -2               x≥1 We have to find   f1 

Q: 1 2 Calculate lim x→1 x – 1 x2 – -

A:

Q: Find ∫ dx / √(4x2 + 1)

A: Given: ∫14x2+1dx  

Q: What is an even function?

A: we have to tell what is an even function.

Q: Derivative rules Suppose u and v are differentiable functions at t = 0 with u(0) = ⟨0, 1, 1⟩, u'(0) ...

A: Given: u and v are differentiable function at t=0, withu0=0,1,1, u'0=0,7,1v0=0,1,1, v'0=1,1,2 To Fin...

Q: let u = 83, -29 and v = 8-2, 59. Find the(a) component form and (b) magnitude (length) of the vector...

A: Here given  u=83, -29v=8-2, 59=6, 59 Thus the component of the vector 35u+45v is 35u+45v=3583, -29+4...

Q: Evaluate (3, 1) + (2, 4) and illustrate the sum geometrically using the Parallelogram Rule.

A: Evaluate the sum as shown below: 3,1+2,4=3+2,1+4                          =5,5

Q: Increasing and Decreasing Use a graph of f(x) = e - 3e* – 4x to find, approximately, the intervals o...

A: Graph of given function:

Q: (b) The following table gives the value of the elliptical integral de F(0) = , 1-}sin²0 for certain ...

A:

Q: Use the Intermediate Value Theorem and Rolle’s Theorem to prove that the equation has exactly one re...

A: The given equation is 3x+1-sinx=0. It can be seen that f0=1>0 and f-π=-3π+1<0.

Q: Find the product : (5x + 7y - 2)(5x + 7y + 2).

A: We have 5x+7y-25x+7y+2 Re-writing the given expression 5x+7y-25x+7y+2   It is known that a2-b2=a-ba+...

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.