d sin ay

Q: Find the derivative of the function y = sech−1 (sin x)

A: Given function - y = sech-1sinxDifferetiating on both sides with respect to x - dydx = ddxsech-1sinx...

Q: solve 2x-y=5 and 3x+2y=11 by using subtution method

A: GIven, 2x-y=5 -->(1) 3x+2y=11 -->(2) by using substitution method x=? y=?    

Q: Express the quantity as a single logarithm.   In 5 + 5  In 3

A:

Q: What is the Derivative of yx?

A: f(x) = yx

Q: Find an equation for the surface of revolution formed by revolving the curve 2x + 3z = 1 in the xz-p...

A: Our Aim is to find an equation for the surface of revolution formed by revolving the curve 2x+3z=1 -...

Q: Find the inverse ƒ-11x2 of each function (on the given interval, if specified). ƒ1x2= 4e5x

A: Given function f(x) - f(x) = 4e5x            ....................(1)For finding the f-1(x), we solve...

Q: The measure of an angle is 135°. Classify the angle as acute, right, obtuse, or straight.

A: We have to classify the angles as acute, right, obtuse, or straight for the angle: 135°. We know tha...

Q: f (0) = 1; y = X

A: Given- f0=1;y=x To solve- The above expression.  

Q: Suppose Sarah has $6500 to invest. Bank W offers a savings account that earns interest at a nominal ...

A:

Q: Derivatives Find the derivatives of the following functions. ƒ(t) = cosh t sinh t

A: ft=cosht sinht

Q: Evaluate the integrals. ∫(tan-1 x)5/(1 + x2) dx

A: We have to evaluate the integral: ∫tan-1 x51+x2dx This integral will be solved by substitution metho...

Q: Help to find the derivative of f(x)=1/4x. ?

A: given f(x)=14xwe have to find the derivative of given f(x)

Q: Use the formula for nCr to solve, To win in the New York State lottery, one must correctly select 6 ...

A: Given,  One must correctly select 6 numbers from 59 numbers.and The order in which the selection is ...

Q: Given ā = [1,3,-2] and b = [-2,5, 1] Determine a) The Dot Product of the given vectors b) The Cross ...

A: We are solving the first three subparts questions and for the next subparts questions post the quest...

Q: Find an equation of the sphere with center (1, -11, 8) and radius 10. Use an equation to describe it...

A: the general equation of a circle in 3D is  (x-a)2+(y-b)2+(z-c)2=r2 the equation of a circle with cen...

Q: Find the length of the following curve. 21 y 2x from x 0 to x= 1 The length of the curve is (Type an...

A: We have  y=2x32 We have to find arc length from x=0 to x=1 y=2x32Differentiate with respect to xdydx...

Q: 3. 2-1 da

A: Use the product rule to determine the derivative for the given expression.ddxx3x2−1=x2−1×ddxx3+x3×dd...

Q: Find the volume of the described solid S The base of S is a circular disk with radius r . Parallel c...

A: Consider the given: Consider the solid S with radius r, circular base.

Q: When records were first kept (t = 0), the population of a rural town was 250 people. During the foll...

A: Initial population of a rural town was 250 people. The population grew at the rate of P't=301+t Now ...

Q: A point on the terminal side of angle θ is (0, -1).Find the exact value of each of the six trigonome...

A: Given: The point 0,-1 lies on the terminal side of angles θ, To find: Exact values of each of the si...

Q: For the following functions and values of a, find ƒ′(a).b. Determine an equation of the line tangent...

A: Consider the given function fx=8x Now, differentiate the function fx with respect to x ddxfx=ddx8x=8...

Q: Integration techniques Use the methods introduced evaluate the following integrals. ∫tan3 5θ dθ

A: We have to integrate ∫tan3 5θ dθ Lets take θ=xSo the integration will become∫tan35x dx

Q: Find the slope of the tangent to the curve y=3+ 4x 2  -2x3    at the point where x=a

A: Given: y=3+4x2-2x3 The slope of the tangent to the curve at the point x=a is the derivative of funct...

Q: Evaluate the integral.

A: Evaluate the integral.

Q: Technology Exercise: a. Use a graphing utility to graph f(x) = x2 + 1. b. Graph f(x) = x2 + 1, g(x) ...

A: Since we only answer up to 3 subparts. We will answer the first 3. Please resubmit the question and ...

Q: An equation in the form ax + b = 0, a ≠ 0, such as 3x + 17 = 0, is called a/an___________ equation i...

A: An equation in the form ax + b = 0, a ≠ 0, such as 3x + 17 = 0, is called a/an___________ equation i...

Q: Evaluate  expression, or indicate that the root is not a real number. √144 +√25

A: Given, √144 +√25

Q: Evaluate the limit of the sequence or state that it does not exist. an = ((2n + 2)!)/((2n)! n2)

A: Consider the given nth term of the sequence, an=2n+2!2n! ·n2 Since, 2n+2!=2n+2· 2n+1· 2n! Then, an=2...

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y 4. c= 5 4 6 8 -2 (...

A:

Q: A bacteria culture grows with constant relative growth rate.The bacteria count was 400 after 2 hours...

A: Let A0 & r be the initial size and relative growth rate of the bacteria culture respectively. Th...

Q: One common system for computing a grade point average (GPA) assigns 4 points to an A, 3 points to a ...

A: That means we have to find mean grade point score of student. Given, System for computing GPA assign...

Q: Use Part 1 of the Fundamental Theorem to simplify the following expressions.

A: To find the derivative of the integral, one need to use fundamental theorem of calculus, by substitu...

Q: Find the foot of the perpendicular drawn from (4,1) upon the straight line 3x-4y+12=0

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: