Question

■ Find an expression for the function whose graph is the given curve.. The line segment joining the points (1,-3) and (5,7).

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Find simpler expressions for the quantities ln (e2 ln x)

A: Given: y=lne2lnx we know that lnm.n=lnm+lnn

Q: 1. Can we use cofactor expansion in a 2 x 2 matrix? Justify your answer by giving an example.  2. Ev...

A: The  formula for finding the determinant of an n×n matrix  using a particular  row is defined as, de...

Q: Which expression is equivalent to sin Bcsc Bsec B for all values of Bfor which sin Bcsc Bsec B is de...

A: GIVENsinβcscβsecβ

Q: solve the differential equation 2x2 dx - 3√y csc x dy = 0

A: 2x2 dx-3ycscx dy=0 On simplification, we get ⇒2x2 dx=3ycscx dy⇒2x2cscx dx=3y dy⇒2x2sinx dx=3y dy    ...

Q: 5

A: We are given the series ∑n=1∞ (−1)n7n8+54n8+4, observe that numerator coefficient 7 is larger than t...

Q: Assume that the sequence converges and find its limit. a 1 = 8, a n + 1= 8an O 1 64 8 -8

A: Click to see the answer

Q: a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard mea...

A: Given a piece of cardboard with dimensions 17ft × 10ft.

Q: Write the first five terms of the geometric sequence, a1 = 20, r = 1/2

A: We have to write first five terms of the geometric sequence where a1=20, r=12. We know that if first...

Q: Determine whether each statement is true or false. If the statement is false, make the necessary cha...

A: we know that irrational number can be positive and negative also so, given statement is false

Q: (Strang 3.5.14) Without computing A, find bases for its four fundamental subspaces: [1 0 0] [1 2 3 4...

A: Assume that the matrix, A=LU.   Matrix L has pivots in column 1, 2, and 3, therefore Column space: 1...

Q: 8-

A: Given that: g(N)=r1-NKWe differentiate both sides with respect to Ng'(N)=r0-1Kg'(N)=-rK

Q: 3. Find the equation of the tangent line of the curve 2.12 y = 2eV2r-I -)* + In(2r² – 1) x2 +1 when ...

A: The Quotient rule of differentiation; -------------------------------------------------------------...

Q: Find  dy/dx, given ? = sin √x

A: Chain rule in differentiation: also,

Q: A catering company determines that if x thousand dollars are spent on advertising then S(x) people w...

A: Given that  A catering company determines that if x thousand dollars are spent on advertising then S...

Q: Find the volume of the described solid S frustum of a pyramid with square base of side b , squaretop...

A: Given-  Frustum of a pyramid with square base of side b , square top of side  a , and height h. To f...

Q: Find the derivative of the following with respect to x:1. ex23. x2ex 5. 105x 7. f(x)=4log3x-In x9. y...

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: Find an equation of the ellipse having the given properties and plot the ellipse.

A: Click to see the answer

Q: 3-

A: The given function y=3x+4 Differentiate with respect to x f'(x)=323x+4 f'(x) is not defined at x=-4/...

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work by...

A: We have to evaluate ∫sec4w tan4w dw. From the table we have ∫secax tanax dx=1asecax +C Therefore, ∫s...

Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid bounde...

A: Click to see the answer

Q: The interval as inequality of (1,8)

A: Click to see the answer

Q: a.show that (0,0) is the only critical point of the DE  x''+∈(1/3(x')^3 -x')+x=0 b. show that (0,0) ...

A: Given:x''+ε13x'3-x'+x=0

Q: Find the slope of the tangent to the curve y2 ln(x) + x2y = 7 at (1, 7)

A: Click to see the answer

Q: (4x

A: ln[(4x-9)(x2+1x3)2] We know ln(mn)=ln(m)+ln(n)               ln(mn)=ln(m)-ln(n)               ln(m2)...

Q: The ceiling function For any real number x, the ceiling function <x= is the smallest integer greater...

A: Click to see the answer

Q: Calculus Question

A: Click to see the answer

Q: Find dy/dt using the given values  xy = 5 for x = 10, dx/dt = −2   dy/dt= ______

A: Click to see the answer

Q: Use the integral test to determine whether the series converges. 1 Σ 5n - 1 n=1 diverges converges

A: Click to see the answer

Q: Consider the equation below. (If an answer does not exist, enter DNE.) r(x) = x³ – 3x² – 9x + 3 (a) ...

A: Click to see the answer

Q: Use the given conditions: Slope = 1/2, passing through the origin to write an equation for the line ...

A: Click to see the answer

Q: At the beginning of an experiment, a scientist has 388 grams of radioactive goo. After 150 minutes, ...

A: Given data are: Initial amount of radioactive goo= 388 grams Amount of radioactive goo after 150 min...

Q: If f(x)=4sin(x)+3x^x, find f'(3).

A: f(x)=4sin(x)+3xxnow differentiating both side with respect to xf'(x)=4cos(x)+3x.(xx-1)  

Q: Use n = 6 subdivisions to approximate the value of 6 Vx +2 dx by the trapezoidal rule.

A: Given:Use n=6 subdivison to approximate the value of ∫06x+2dx

Q: Considering only the values of 0 for which the expression is defined, which of the following is equi...

A: The given expression is tan-θ·sec-θ·cotθ   Known fact: tan-θ=-tanθsec-θ=secθcotθ=1tanθ

Q: 1. Which of the following terms defined as the set of all values that f(x) will take? A. Domain B. R...

A: Click to see the answer

Q: Find the present value of $38,817.68 due in 4 years at an interest rate of 11%/year compounded conti...

A: the future value or the amount of the interest compounded continuously is found by the formula A=Per...

Q: Hi, I need help with this. Thank you!!:)

A: Given: The Equation of the ellipse is x2 + 4y2 = 36

Q: An unknown radioactive element decays into non-radioactive substances. In 840 days the radioactivity...

A: Given: An unknown radio active element decays into non-radio active substances. In 840 days the radi...

Q: Use the Pythagorean Theorem to find the length of the missing side of each right triangle. Then find...

A: Given right angled △ABC in which AB=17, AC=15 Using Pythagoras theorem, AB2=AC2+BC2172=152+BC2289=22...

Q: If $10,000 is invested in a savings account offering 4% per year, compounded semiannually, how fast ...

A: Click to see the answer

Q: How do I solve number 84 step by step?

A: Click to see the answer

Q: sketch the region bounded by the given lines andcurves. Then express the region’s area as an iterate...

A: Given that, Region bounded by x=0 , y=2x and y=4 We have to find Area of that region. In a given Reg...

Q: Clearly state the quantity of the three sides in the right triangle you are going to use, and mark ...

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st ques...

Q: 1. The Solve of the ( +y) dx- 2 xy dy = 0 a) x? + y? = c b) x? – y? = c c)x² + y? = xc d) x? – y? = ...

A: Since you have asked multiple questions in single request  so we  will be answering only first quest...

Q: Partially differentiate the following with respect to x1 and x2

A: Click to see the answer

Q: Find the slope-intercept equation of the line tangent to the graph of y = e when x = In 3. O y = 3x ...

A: The given function is y=ex and the point x=ln3 

Q: Explain why f (x) = sin (x² + 3r + 1) is a continuous function for all c € R. %3D

A: Let us assume that: g(x)=sin(x)and h(x)=(x2+3x+1)So, (g∘h)(x)=g(h(x))=g(x2+3x+1)=sin(x2+3x+1)=f(x)Th...

Q: Find the derivative of the following with respect to x:1. y= x5-exIn x

A: Click to see the answer

Q: Calculate the volume of the solid of revolution that results from rotating the region bounded by the...

A: Let the second option be 8.5π. The correct option is (b) 8.5π. Find the function f(x) in terms of y....

Q: Consider the following function. y = tan πx Find the period.

A: Click to see the answer