A farmer builds a rectangular grid of pens with 1 row and 5 columns using 550 feet of fencing. What dimensions will maximize the total area of the pen?

Q: Find the vector -4u+2w given the vectors u = -8j and w =-6i+5j. Write your answer in the form ai+bj....

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Q: 4 antegrate the ff 2. (ax-6)*dx 2. (x2 +5x DISTRI BUTI VE PROP.

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Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and trace...

A: Identify and sketch the surface of the following equations1. 4x2-3y2-2z2=02. 25x2-100y2+16z2=-400

Q: ofray d=2r 5 Find the area of a circle with a circumferenc of 50.27 ft 7.16 32

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: Plot each of the given complex numbers in an Argand diagram and label all the necessary parts. Also,...

A: Since there are multiple questions the first question is answered as per our guidelines. Kindly repo...

Q: 的+十」 (8-9) = TT

A: To evaluate the given integral.

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Q: Cami plays softball. The table to the right shows the frequency of the number of hits she has per ga...

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Q: Q. The curve y = v4 – x², -1 <x<1, is an arc of the circle x? + y? = 4. Find the area of the surface...

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Q: Let a = ci + jand b = 6i + 54j. Find c so that a and b are orthogonal. C = i

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Q: Find ſ z2 sin z dz

A: We can find the integral in the following steps

Q: 4 | a sin(3y+ x²)dydx, 2 a) Sketch the domain of integration on an (x,y)-plane. b) Set up the integr...

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Q: 12 TT CoS + i sin + i sin 6.

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

Q: |x³ + 3bx² + 4ax² + x² – 2ax – 2ab + bx dx x* – 2ax³ + bx³ – 2abx²

A: Solution is given below:

Q: Original Integral Rewrite Integrate Simplify 9 dx dx 9 + C (4x)5 1024 1024

A: Topic = Integration

Q: The domain of f(x) = V4 – x² is –

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Q: Find the area of the region bounded by the curves, y = -6, y = 6 , the y – axis and the parabola y2 ...

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Q: 8

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Q: Find the particular solution of the differential equation that satisfies the initial condition. f'(x...

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

Q: 3. What is (Sin (6x)}? 4. What is (Cos (x²) dv 5. What is (tan x³) dx 6. What is (In x)7

A: we use the chain rule to find the derivative of the given function 

Q: Solve for the derivative of the following and simplify if possible. f(w) = tan w sec w

A: We can find the derivative as below using the product rule

Q: 19. A triangular plate with height 5 m and a base of 7 m is submerged vertically in water (whose den...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A: Given equations are:  x2+y2-6ax=0x+y=6a The small bounded region is rotating about the line x=0.

Q: x²dx Evaluate x2Vx2-4

A: Using standard formula for integrating the given indefinite integral

Q: У7-"(10т — 1)" —п n=0

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Q: arbitrary

A: We have to eliminate the arbitrary constants from the given  function

Q: Current Attempt in Progress Consider the parallelepiped with adjacent edges u = 8i + 8j + k v = i+j+...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: Solving as per the instruction given in the question we get.

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y2 = 4(x² – ...

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Q: 4. Let p and q be variables with truth-values 0 or 1. Find logical expressions of p and q that repre...

A: We have to complete the truth table and to find the following question.

Q: (y- 2xy +6x ) dx-(x – 2xy + 2) dy = 0

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Q: xcscx g(x) : 3-cscx

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Q: +00 (x + 7)" Consider the power series > 2" Vn² – 1 | n=2 1. Use Limit Comparison Test to show that ...

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Q: Prove the identity. cosh(-x) = cosh(x) (This shows that cosh is an even function.) cosh(-x) = + e-(-...

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Q: dy then dx sin x If y = 1+ cos x ||

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Q: y=3-x + xlnx solves y' = Inx y = solves y' = y? 1-x

A: This question is based on differential equation.

Q: Find two unit vectors in 2-space that make an angle of 45° with 5i + 4j. NOTE: Enter the exact answe...

A: We have to find two unit vector as given in the question. 

Q: Find the antiderivative, G(t), of the function g(t) = (5n²t? – t*)v5n2 – t2.

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Q: Consider the parallelepiped with adjacent edges u = 5i + 5j + k v = i+j+ 8k w = i+ 5j + 7k Find the ...

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Q: Evaluate (*(x-2) (х-1)3

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

A: We know that vector component of v along b is v→·b→b→ Vector component of v orthogonal to b is v→- v...

Q: x²dx Evaluate | x²Vx2-4

A: We can evaluate the answer as below.

Q: Let ex + 9, x 2 d. x = 2 Find the values of c and d that make f(x) continuous at x-2. d= (If the va...

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Q: x(х-2) dx (x-1)3 Evaluate

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Q: 디/2 Evaluate using Wallis' Formula: sin5 x cos x dx

A: Use Wallis formula.

Q: (c) Same direction as the vector from the point A(-1,0,4) to the point B(4,3, 3). 1 i + 2 w = k - 6.

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 2 cos @ dӨ . 1- sin 0

A: