Question

Show that the tangents to the curve y2 = 4px from any point on the line x = -p are perpendicular.

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

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: What happens if you add a finite number of terms to a convergent series? A divergent series? What ha...

A: As there are multiple parts to the question, we will address the par related to divergent series fir...

Q: Find the average value of ƒ(x) = sqrt(x + 1)/ sqrt(x) on the interval [1, 3]

A: Given a function

Q: what Taylor series would you choose to represent the function near the given value of x? (There may ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: In the function:  f(x)= (4x^2)/((x^2)+4)  What are the critical numbers of the function?  Where is t...

A: Given function

Q: I need to compute each limit. The limit is ... lim x -> 0 4(x+1)2+3(x+1)-7 —————        x

A: Click to see the answer

Q: Let f(x) = {4x-5, if x <= 7                      -3x + b, if x > 7 If ?(?)f(x) is a function w...

A: Click to see the answer

Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded by the ...

A: Recall the fact.

Q: Find the volume of the solid generated by re-volving the region in the first quadrant bounded by the...

A: We need to find the volume of the solid generated by revolving the region in the first quadrant boun...

Q: Find the centroid of the region bounded by the graphs of y = x + cos x and y = 0 for 0<=x<= 2p...

A: Graph is given below:

Q: A deep-dish apple pie, whose internal tempera-ture was 220°F when removed from the oven, was set out...

A: Newton’s law of cooling:

Q: solve the differential equation. 1.e-x dy + (e-xy - 4x) dx = 0 2. (x + 3y2) dy + y dx = 0 (Hint: d(x...

A: Consider the provided differential equation,

Q: Exercise. The position vector for a particle is described by the vector-valued function: sin(at) r(t...

A: “Hey, since there are two questions posted, we will answer first question. If you want any specific ...

Q: The region between the curve y = 1/(2sqrt(x)) and the x-axis from x = 1/4 to x = 4 is revolved about...

A: (a) The given curve is

Q: The ellipse (x2/16) + (y2/9) = 1 is shifted 4 units to the right and 3 units up to generate the elli...

A: First list the formulas for ellipse.

Q: Solve the inequality. Write your answer in interval notation. -7x > -2x2 + 15

A: Given:

Q: Find the coordinates of the centroid of the curve x = cos t + t sin t, y = sin t - t cos t, 0 <=t...

A: Given,

Q: a. Use Taylor’s formula with n = 2 to find the quadratic approximation of ƒ(x) = (1 + x)^k at x = 0 ...

A: Given:Use Taylor’s formula with n = 2 to find the quadratic approximation of ƒ(x) = (1 + x)^k at x =...

Q: Find the area enclosed by the ellipse x = a cos t, y = b sin t, 0<= t<= 2pai.

A: Given,

Q: give the eccentricities of conic sections with one focus at the origin along with the directrix corr...

A: Click to see the answer

Q: Find the length of the curve y = ln (sin x),  pai/6<=x<=pai/2.

A: The given curve is,

Q: Find the volume swept out by revolving the region bounded by the x-axis and one arch of the cycloid ...

A: Given:

Q: Use the identity sin^2 x = (1 - cos 2x)/2 to obtain the Maclaurin series for sin^2 x. Then different...

A: It is given that

Q: Graph y = log a 2 as a function of a over the interval 0<a<= 4.

A: Given that 0<a≤4 Rewrite the function as: 

Q: (2x? + 3x + 1) dx 3 (a) Find the Riemann sum for this integral using right endpoints and n = 3. (b) ...

A: (a) Obtain the Riemann sum for the given integral using right endpoints and n = 3 as follows.

Q: х on the interval [2, 6]. 11 The rectangles in the graph below illustrate a left endpoint Riemann su...

A: The formula to calculate the Riemann Sum using left end points is given as,

Q: Besides geometric series, what other convergent and divergent series do you know?

A: Click to see the answer

Q: How would I evaluate this indefinite integral?

A: Consider the provided indefinite integral,Simplify the given indefinite integral as follows,

Q: Find Power Series representations of the following functions (a) f(x) = 3x12 – æ5 f(x) = In(x +1) (b...

A: (a)Given

Q: Find the first four nonzero terms in the Maclaurin series for the functions in Exercises 31–38. 31. ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Let R be the “triangular” region in the first quadrant that is bounded above by the line y = 1, belo...

A: Click to see the answer

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic sections in Ex...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: find an equation for the line tangent to the curve at the point defined by the given value of t. Als...

A: Click to see the answer

Q: In a psychology experiment, a person could memorize x words in  f(x) = 3x2 − x  seconds (for 0 ≤ x ≤...

A: a person could memorize x words in  f(x) seconds where

Q: Find the length of the curve y = ln(e^x - 1) - ln(e^x + 1), ln 2<=x<= ln 3.

A: Given:

Q: The line segment joining the points (0, 1) and (2, 2) is revolved about the x-axis to generate a fru...

A: The line segment joining the points (0, 1) and (2, 2) is revolved about the x-axis to generate a fru...

Q: find the derivative (dy/dx) of the given function:  1. y= e^X sin X 2. y= (cos x)^9 3. 1/ ln(X)  4. ...

A: Given,

Q: In the function:  f(x)= (3x^2)ln(x) , x>0 When is the function concave up and concave down in int...

A: For concavity we need second derivative.

Q: Find the derivative of the following function g2 F(x) = ds a 3+ 5s4 using the appropriate form of th...

A: Given that,

Q: The curve y = sqrt(x2 + 1), 0<=x<=sqrt(2), which is part of the upper branch of the hyperbola ...

A: Find dy/dx from the given curve using power rule and chain rule.

Q: How do you reindex a series? Why might you want to do this?

A: Any series can be reindexed without changing its convergence.