The length of a rectangle is two-fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 3025 square units. What is the area of the rectangle if the breadth of the rectangle is 10 units?" O 220 square units O 2750 square units O 110 square units O 550 square units

Q: e" + e¯ cosh(r) : e - e sinh(r) 2 Use our rules for differentiating e" to show that cosh'(r) =…

A:

Q: dx V3+2x-x2 10.

A:

Q: 11x +625 The average cost for a company to produce x units of a product is given by the function…

A:

Q: Find, correct to three decimal places, the point on the curve y = 9 In x + e at which the tangent…

A:

Q: true or false 1. ∫dx/(1 - 2x) = 1/2 ln|1 - 2x| + C 2. ∫ (1 - 4x4 + x3)/x3 dx = 1/(2x2) + 2x2 - x…

A:

Q: dx U x" Jx? +3 4

A: To find out the integration.

Q: (x? - 1)² dx = x$/5 - 2x/3 + x + C Select one: O True O False Jdx/(1 - 2x) = 1/2 In|1 - 2x| + C…

A:

Q: Find a unit vector u in the direction of v = (2,-1,5) Ou-( 30 /30 1. u = 30 30 O None of these (4,1,…

A:

Q: Activity Test your understanding. Write TRUE on the space provided if the statement is correct and…

A:

Q: Find Ay and f'(x)Ax for y = f(x) = 6x°, x = 4, and Ax = 0.06. Ay = (Round to four decimal places as…

A:

Q: dx x* +3

A:

Q: 1. How tall is Gio than Trixie? 2. How short is Ana than Leigh? 3. If Janela stood on a box that is…

A:

Q: If 1,200 cm2 of material is available to make a box with a square base and an open top, find the…

A: An open top square base box has area 1200 cm2.

Q: Let the region R be the area enclosed by the function f(x) = Va and g(x) = x. Write an integral in…

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: Find all the complex fourth roots in rectangular form of w = 100 cos 57 - + i sin Zo (Type your…

A:

Q: A tractor pull contest is held at a county fair. The tractors in the contest pull a sled on which…

A:

Q: Find the maximum value of the function f(x) = x3-9x2 + 15x- 5. Answer.

A: The objective is to find the maximum value of the function.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A:

Q: y^2= (x^2 + 2x)/ x-1 find the x and y intercept, symmetry, region/scope, asymptotes, critical…

A:

Q: Differentiate implicitly to find dy Then find the slope of the curve at the given point dx 8x-9y…

A: topic - implicit differentiation

Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

A:

Q: J6x²e?x^3+1 dx = 3e?x^3+1 + C Select one: O True O False

A:

Q: Use the cylindrical shell method to calculate the volume of the solid formed by rotating the graph…

A:

Q: Evaluate lim f(x+h)-f(x) h-0 where f(x) = 2 – 3x². h None of these -X 6x O -6x O 3x

A:

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² – 2xy + y²,…

A:

Q: 9/ Evaluate (cos* 0 – sin* 0)de T/12

A: Note that: cos4θ-sin4θ=(cos2θ-sin2θ)(cos2θ+sin2θ)=(cos 2θ)(1)=cos 2θ

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 10, (3, 4) Vf(3, 4) еBook

A:

Q: Find the dimensions of a rectangle with area 216 m whose perimeter is as small as possible. (If both…

A:

Q: After its fastest rate of growth ever during the 1980s and 1990s, the rate of growth of world…

A: I am attaching image so that you understand each and every step.

Q: Consider the function  f(x)=4/x^2−3/x^5. Let F(x) be the antiderivative of f(x) with F(1)=0. Then…

A:

Q: Given f''(x)=9x+0 and f'(0)=−3 and f(0)=4.   Find f'(x)=     and find

A:

Q: - Find the Taylor series expansion for the given function about x =g. :- Using the Taylor series…

A:

Q: -Ihd the x-values of all points where the function has any relative extrema. Find the value(s) of…

A: f(x)=-103x3-512x2-5x+19f'(x)=-3×103x2-51×22x-5⇒f'(x)=-10x2-51x-5f'(x)=0⇒10x2+51x+5=0By quadratic…

Q: 2- -1- -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 3 -1 -2 -3 --4 -5 -6 -7- Provide your answer below: lim f(x)…

A:

Q: Question For the functionf(x) given below, evaluate lim f(x) and lim f(x). f(x) = 1 – 2x* +x²…

A: I am attaching image so that you understand each and every step.

Q: ( cos³x dx sin*x 9.

A:

Q: Find dy. y = vx + 10 dy = (Simplify your answer.)

A:

Q: Determine whether the following statement is true or false. If this statement is true, explain why.…

A: Explanation of the answer is as follows

Q: tan x dx sec x+4 cosx 5.

A:

Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an…

A: Explanation of the answer is as follows

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: Both these questions can be solved by applying the concept of maxima and minima.

Q: uantity of cookies sold when the price per cookie, in cents, is x. Use this information to answer…

A: Since we are given with the multiple number subpart answered according to the guidelines

Q: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. How much work is…

A: Work = Force × displacement

Q: 'ind the exact length of the curve x = t sint y = t cos t or 0<t< 1. ou may use the following result…

A:

Q: Using Integration by parts, evaluate: ſ xVx + 1dx Your answer

A: As per our guidelines we are supposed to answer one question, kindly repost the remaining question…

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

A:

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 3y2 + 2, (3, 5) Vf(3, 5) =

A: Given: fx,y=2x+3y2+2 ; Px,y=3,5   As we know that; The expression for the gradient vector.…

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A: