Consider the line y = ax, where a is a positive constant. What is the shortest distance between the line and the point (a,0) ? (a) 241 a²+1 (b). 21 a²+1 (c). q² a (d). √²+1

Q: A window is being built and the bottom is a rectangle and the top is an equilateral triangle. If…

A: Area

Q: Fill in the blanks to correctly complete the sentence below. ... The graph of y=-7+4 cos |x- 2F) 3…

A: We need to graph the following. If the graph y=cos x by 7 units downward and shifting 2π3 units to…

Q: The vector equation r (u, v) = = u cos vi + u sin vj + vk, 0 ≤ v ≤ 8π, 0 ≤ u ≤ 1, describes a…

A: Given that , ru,v=ucosvi+usinvj+vk and 0≤v≤8π , 0≤u≤1 find the surface area.

Q: Rewrite the following integral using the indicated order of integration and then evaluate the…

A: Answer is given below

Q: roble ind the derivative of eacl 2t (a) g(x) = 2² ²4 dt fx² -2 t³+1

A:

Q: Find the derivative of the following using the Four-Step Rule. 1. f(x) = 2x^2 - 3x + 4

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Suppose g(x) is given by the following graph. y 1.0 0.5 -0.5 -1.0 -1.5 -2.0 (a) Compute each of the…

A: To find the values of definite integral of function g(x) whose graph is given

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 0 0 -L-…

A:

Q: Solve the following differential equation, subject to the given initial condition. dy x +(1+3x)y =…

A:

Q: 12. Determine whether or not the given function (defined on -∞0 <2<x) is periodic. If it is, find…

A: A periodic function can be defined as:A function returning to the same value at regular intervals.…

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250…

A:

Q: What is the general solution to the the differential equation3y"-y'- 2y = 10e*? A y=C₁e…

A: We need to solve D.E.

Q: Show that the vector field F = is not conservative by showing it is not path independent.

A: check the conservative of f using curl of F

Q: Find the area of a triangle whose sides measure 50 inches, 22 inches, and 36 inches.

A: To find the area of a triangle whose sides measure 50 inches, 22 inches, and 36 inches.

Q: Solve the equation. Give your answer correct to 3 decimal places. -0.09x 74 = 100 100e X =

A: Given 74=100-100e-0.09x

Q: Determine if the following series converges or diverges, and calculate the sum if it does converge:…

A:

Q: 5/2 (b) fcsc² x dx 77/

A:

Q: Evaluate 4²+² r2y dxdy S² √²4 Ο π/12 Ο π/6 Ο π/16

A: NOTE: Refresh your page if you can't see any equations. .

Q: Determine the integral that can be used to find the arc length of the curve defined by the…

A:

Q: Prove that if a0

A:

Q: Which of these vector fields are irrotational? Identify all of those that satisfy this property. A B…

A: The given vector fields, A) u=-x, y, 0B) u=-y, x, 0C) u=-x, z, 0D) u=x, y, z We have to find the…

Q: -IN sin (cos-¹x) = 1/

A:

Q: 1-4 Find the local and absolute extreme values of the function on the given interval.

A: To find the local and absolute extrema for the given function

Q: Volume of the cylinder is equal to volume of cone c. four times of volume of cone a. b. three times…

A: Volume of cylinder

Q: If m≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

A:

Q: Calculate the double integral SSR (2x + 8y + 16) dA where R is the region: 0≤x≤ 4,0 ≤ y ≤ 1.

A: The given double integral ∬R2x+8y+16dA, where R is the region: 0≤x≤4, 0≤y≤1. We have to evaluate…

Q: re4 1 2 e² x ln²√x dx

A:

Q: 5a Compute the values of dy and Ay for the function ye dy Round your answers to four decimal places,…

A:

Q: If [ f(a)dx= [ f(x) dx? 00 12 12 -2 2 ◄ Previous = 7 and [ f(x) f(x) dx = 5, what is -3

A: Please see the below picture for detailed solution.

Q: Find the time required for an investment of 5000 dollars to grow to 8100 dollars at an interest rate…

A: Topic:- application of algebra

Q: IS IT POSSIBLE TO DO THE TRAPEZIUM METHOD AND THE SIMPSON METHOD AGAIN BECAUSE IT IS INCORRECT

A: Give the exact values of the approximations provided by these method b)trapezium methods c)Simpson's…

Q: ← For the following telescoping series, find a formula for the nth term of the sequence of partial…

A:

Q: -2 in/hr -2 in/hr² 9 in/hr O 9 in/hr² Suppose the rate of change of rainfall, measured in inches per…

A:

Q: If the sales tax 4% and the purchase price is $263, what is the amount of tax?

A:

Q: The figure below shows the derivative f' of f. f ' (x) 4 10 + x मुंह 2 6 8 12 (a) Choose all…

A: We know Function increasing when f'x≥0Function decreasing when f'x≤0

Q: t on the interval [-3, 0]. 1² +1+1 (Express numbers in exact form. Use symbolic notation and…

A: Given, R(t)=tt2+t+1

Q: onvert the line determined by the symmetric equations - 2 y+1 - 3 form. -2 parametric t) = t) = t) =…

A: Given query is to find the parametric form of the line.

Q: The distance, in feet, a stone drops in t seconds is given by d(t) = 16t2. The depth of a hole is to…

A: Given: d(t)= 16t2 dt= 2/10th of a second

Q: Write the equation in logarithmic form and solve for x. (Round your answer to three decimal places.)…

A:

Q: 3. a) Find the following limits. (Don't use L'hôpital Rule.) |x+3| x+3 |x+3|| lim x-3x+3 =? x-1 x-1…

A:

Q: Determine if the vertex of the graph of the equation is a maximum or minumim point. y=x²+4 vertex is…

A: Given query is to find verteyis maximum or minimum.

Q: Solve the linear system of equations by elimination. X + y + z = 7 + y - Z -1 -2x + 3y - = = 15 ४ -…

A: Given, x+y+z=7x+y-z=-1-2x+3y-z=15

Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of f and…

A:

Q: Activity 5 A hyperbola is the set of points such that the difference of the distances from two fixed…

A: The radius difference is 7 so the number of points are below 4 for both side in circle 2 and 9 4 for…

Q: C [² (₁²- Jo (u² - 2u) du

A: Solution : Given that integral is

Q: 13. 2п 3 14. 3 п 4

A:

Q: Find the linearization of the function f(x) L(x) = H -1.1 Find the true values of f (z) and the…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=-1 the point (-1,-1)…

Q: Find a function f such that the slope of the tangent line at a point (x, y) on the curve y = f(x) is…

A:

Q: a manufacturing company performs a quality control analysis on the ceramic tile it produces. Suppose…

A: Given Suppose a batch of 25 tiles has 7 defective tiles. If 5 tiles are sampled at random, exactly 1…

Q: 2. Find each indefinite integral. Show all steps. a) [ sin² (6t) - cos5 (6t)dt

A: according to bartleby guide line we do only first part of multiple , please repost other part in…