A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum amount of fencing needed. Answer: 200

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: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

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Q: 10. Find the exact length of the curve y = In(sec x),0 < x<T/4 %3D

A: This is a problem related to integration of the function. Based on the integral formula we will find…

Q: 34. f (г) — 1 ; с34

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Q: 3x* - 4x2 +3x – 6 Evaluate lim x-0 5x- x2 – 3x5-2x -1 does not exist O 1 O None of these

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Q: Find the magnitude of the vector 3i - 3j. 18 O 23 0 6 312

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Q: Find the value of x for which the value of the function f(x) = x3 + 3x2 - 2 is minimum?

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Q: What are the domain, range, and period of the function f0) = -3cos(- 20)? Answer in complete…

A: Given problem:- What are the domain, range, and period of the function f(θ)=-3 cos(-2θ)

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A: Explanation of the answer is as follows

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A: We need to find minimum distance.

Q: Let k(x) = tan−1 x. Find the value of k(9)(0), the 9th derivative of tan−1(x) at x = 0.

A: Given

Q: f (x) = x³ – 23 6x + 1. | e sure to verify the c

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Q: (бх2 — 4x + 5)dx (2x – 1)(3x + 4)dx Jx(vz - 1)dx

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Q: The integral of the given function ſ cos 3ydy is a. sin 3y +sin³3y + . sin³3y – sin³3y +sin53y + C…

A: Topic :- application of integration

Q: Find the radius of convergence, R, of the series. n- 1 R = Find the interval, 1, of convergence of…

A: We have to find the radius of convergence R for the given series…

Q: – ydy (у+ 1) — у+1

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Q: For 6. the region bounded by the given curves is rotated about the specified axis. Sketch the region…

A: Given

Q: TOPIC Rational Frachon decomparition sx2 -9x-6 dx x3-2x2-4xt8

A: Given problem:- ∫(5x2-9x-6)x3-2x2-4x+8)dx

Q: . Determine the values of a, b, and c such that the function f(x)=x²+ax² +bx+c has a y-intercep of 1…

A: Solving question

Q: Find the equation of the tangent line and the normal line of the curve at given point: 1. y? = ,…

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Q: Learning Task 2: Find the derivative of 4x2 + 6y³ = 50 by filling the blanks. %3D (2 x)(x²-)…

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Q: erify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), В(3, -5,…

A: We have to find area

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

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Q: 1 1. Let f (x) = x - 5, g (x) = V5 - x and h (x) = 2x 1 a) Determine the domain of f, g and h. b)…

A: We have to find the function

Q: 8 Consider the function f(x) - 7. Let F(a) be the antiderivative of f(x) with F(1) = 0. Then F(r)

A: Find the integration and the put x= 1

Q: 1. Given f(x) S(x) = x² + 4x - 2 and g (x) = 3x – 4 , find the composition of functions for the…

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Q: Decide if a direct comparison test can be used to determine convergence of the following series.…

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Q: Give the augmented matrix for the following system of linear equations. -3x1+10x2-6x3-4x4+8x5 = -4…

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Q: V 8-x² X 2 4.

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Consider the following problem: A box with an open top is to be constructed from a square piece of…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: |(sinx/cos2x)dx = sec x + C %3D Select one; O True O False 16x e2^3+1 dx = 3e3+1 + C Select one…

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Q: Suppose the position of a particle is given by parametric equations x(t) = t3-2 and y(t) = 4t2. (a)…

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Q: 4 f (x) = x + 2

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Q: Answer the following True or False. 4 + C In 4 O True O False

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Q: (x +2y-4) dx + (ax-4y ) ay Solve by Coerlaents linear in two variable

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Q: Find the value of x for which the value of the function f(x) = x + 3x2 - 2 is minimum? Answer.

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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…

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Q: For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is…

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Q: Consider the following. x = 4 sin(80), y = 4 cos(80), 0sos (a) Eliminate the parameter to find a…

A: Solution: x=4 sin (8θ)y=4 cos(8θ)  ,     0≤θ≤π4 Let 8θ =t  So,   0≤θ≤π4 multiplying by 80≤8θ≤8π4…

Q: Find the dimensions of a rectangle with a perimeter of 140 feet that has the maximum area. The side…

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Q: Find the exact sum of the series 1 - 1 + (1/2!) - (1/3!) + (1/4!) - (1/5!) + (1/6!) - ...

A: Topic:- sequence and series

Q: lim f(x) = c lim f(x) = 00 lim f(x) = 0+ lim f(x) = 0- x-1+ X-1- f(0) = 0,f(-1) = -f(-2) = -

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

A: To solve the following problem

Q: Choose the correct speed and direction of a plane with a velocity of (5,-12) 13,113° 17,293° 17,113°…

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Q: Sy-2+1 dy 2.

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Q: Find all solutions to the equation. 2 sin 0+/2 =0 Write your answer in radians in terms of t. TC…

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Q: Suppose f'(x) = sin(2x²). d ; f(7æ) =| dr d de f(32®) = [

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Q: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: Solution :let, side of square=xArea of square=Adxdt= 8 cm/secA= 36 sq. cmA=x2    Area of square=side…

Q: Given: -8 17 cote = %3D

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