A farmer wants to construct a fence around an area of 6936 square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What dimensions should the fenced area have in order to minimize the length of fencing used?

Q: What two nonnegative real numbers with a sum of 66 have the largest possible product? The numbers…

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Q: X-Z The iterated integral J = g(x, y, z) dy dx dz is equivalent SS 0z0 to which of the following…

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Q: 3 Evaluate x² 2 SOFT S S x² sin y dy dz dx

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Q: (1 + x³) dy - x² y dx || 0

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Q: #6

A: Topic:- application of integration

Q: Problem 4. Part (a) Part (b) 5 ln(3-x) = 4 Do both parts. Write the sum using sigma notation:…

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Q: A radio transmission tower is 211 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: We have to solve above question and find length of wire As per bartleby guidelines we have to solve…

Q: 2 Find the centroid of the portion of the sphere x² + y² + z² = 2a² that lies in the first octant.…

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Q: Figure A is transformed by the dilation D:(x, y) = (8x, 8y) to make figure B. Figure A is…

A: We can answer the question as below.

Q: -3x+1) -3х 2-3* dx

A: According to our company policy we are supposed to answer only first question and rest can be…

Q: 5. Evaluate the integral, if it exists. a. L₂(x¹ - 3x¹/3 + 1) dx b. √₁³ (2ex - ²) dx

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Q: the curve x=l-5¢, y=4€²-1 (0=ts) lengin find the arcC kngth of the curve x=1-. (ux calculator to…

A: This question is based on length of a parametric curve calculated using definite integral.

Q: In order to solve with we first After where c is the y' we have - 3x² ex 2y - 5 the variables. This…

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Q: Let C₁ be the curve with parametric equations I= cost, y = sint -t, where t € [0, 1]. (a) Find the…

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Q: gra Ốf j at point (b) Find the directional derivative of f at the point (0,–2) in the direction of…

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Q: n=5   Use taylor series to approxim. from the interval of: 0-1.5   e^(x^2)dx   Round to 4…

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Q: For what values of x does the series converge conditionally? 5x Σ n! n=1 1 O A. x= -7 5 OB. X=0 1…

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Q: What two positive real numbers whose product is 22 have the smallest possible sum? The numbers are…

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Q: 2000, the population of a city was 71,000. The population had grown to 100,000 by 2011. If the…

A: Given query is to find the population in 2026.

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Question Use the binomial series expansion, 1 for the function f(x) = = ✓1+4x4 If necessary, round…

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Q: 7. Use Lagrange Multiplier to find the maximum and minimum values of the function f(x, y) = x²y…

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Q: ICLO-3 Use the graph to ist() de.x) dx and S(x) dx in order, from smallest to largest 05 0 0.5 52 25…

A: Here, the curve is above the x-axis for [0,1] and the curve is below the x-axis for [1,2] &…

Q: 7. y=2 cos(x) - 1 끌 3m

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Q: Find the indefinite integral. Solution in handwritten. 1. secy (tany - sec y ) dy

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Q: dy = -3, dt If z² = x³ + y², dx dt Please give an exact answer. Provide your answer below: dz = 2,…

A: We can solve as follows

Q: B. The maximum value of f(x) is h. OC. The graph of y = f(x) is a parabola. D. If a 0, then f has a…

A: Topic:- calculus

Q: Find the area of the region enclosed by one loop of the curve. r = 7 cos4e Select the correct…

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Q: (a) (c) 1² diz +1 cos(50) de (b) (d) √ X x² + 1 I √x+1 1 dx dx

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Q: Find the area of the region under the graph of f on [a, b]. f(x) = x² - 6x + 13; [−1, 2]

A: To find the area of the region under the graph of f(x)=x2-6x+12 on the interval [-1,2].

Q: Value Theorem. Provide your answer below: C= ntent attribution Previous MacBook Pro G Search or type…

A: The given function is;  f(x)=8x2-8x on the interval [0,1].

Q: roblem 5. A cup of coffee has temperature of 200 degrees Fahrenheit and is placed in a room that has…

A: Topic:- Newton law of cooling

Q: The average cost for a company to produce x units of a product is given by the function A(x) = The…

A: A(x) represent the average cost.A'(x) will represent change in the average…

Q: Determine if the following series converges. If the series converges, determine if it converges…

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Q: [2 xe3 dư =

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Q: Evaluate the integra 4 X - 5 /1

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Q: Solve the given initial-value problem. y'' + 4y' + 5y = 35e−4x,  y(0) = −2,  y'(0) = 1 y(x)=

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Q: Evaluate the integral. (x3 – 6x)dx -2

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Q: A 54 cm piece of string whose length is given below is cut into two pieces. One piece is used to…

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Q: The point P(2, 2) lies on the curve y = 4. If Q is the point (x, 4), find the slope of the secant…

A: answer is in next step

Q: 6. [ID # ending in 9] J3 w Find дх ду дz if w — exyz = 0.

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Q: The temperature in degrees Celsius (C) in Toronto starting on March 1** can be represented by the…

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Q: y² − 5y = x³ - e² +c where c is the of integration. Setting x= we have . Thus, we have y — 5y — ( —…

A: This is a problem related to integration. Based on the general formula we will answer the question.

Q: If sint = 4/5 and t is in the first quadrant, find cos(2 t) -7/25 -9/25 7/25 24/25 None of these

A: There is more than 1 question, as per the Q&A guidelines I am answering the 1st question. If you…

Q: 10. If 3(a, 3, 2)-2(3, b, b) = (-3, 1, -2), determine a and b. Describe the set spanned by the…

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Q: i-2yj + (z+3)k and suppose the outward flux of F through Side A is 1 and through Side B is -3. Can…

A: answer is in next step

Q: Problem 2. Do both parts. 12 4 8 Part (a) Find the sum: + ·+· 3 9 27 81 Part (b) Solve the equation…

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Q: Find an approximate value of 8. [6x 6 x dx

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Q: n k=1 Note: Your answer should be in terms of n.

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Q: Solve the given differential equation by undetermined coefficients. y'' + y = 6x sin(x)   y(x)=

A: Follow step 2nd .