Find the dimension of a rectangle with area 1000 m² whose perimeter is as small

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Q: a. Evaluate the following integrals. · S (²V/²² - 11/27 - 12/1) dx 5 a. 3 √x x3

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A: as we know for gas equation that R and b is constant so variables are T and V p = RT + bV

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Q: 8. dy = y(xy³ - 1) dx

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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Q: Evaluate the Dot Product u * (v + w). If : u = (-5, 7) v = (1, 6) w = (-11, 2)

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Q: Estimate the value of the f(0.01) for the function f(x)=x²–2x+3. ○ 2.98 3.02 O 3.04 O 2.96

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Q: Evaluate the following integral, (x² + y² + z²) ds, √(x² + where S is the part of the cylinder x² +…

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Q: find the general solution y cos x dx = sin^2 x dy

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Q: 8² r 8t² + ds. 3 δω 8s = 4et

A: Determine the following: dependent variable, independent variable, type pde/ode, order, degree,…

Q: S x³√x²-7dx X X 3

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Q: dy If=3x²-1, and if y=-1 when x = 1, then y= 2 dx

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Q: Given the differential equation y'=e^x/y and y(e)=1, what is C?

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Q: 6. Find the differential equation whose general solution is y=C₁X + Czex, b. a. (x-1) y"-xy' +y=0…

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Q: lim an = 818 = 9n! 20 If It converges, find the limit. (If the sequence diverges, enter DIVERGES.)

A: Limit

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Q: A stone is dropped from the upper observation deck of a tower, 950 m above the ground. (Assume 9 =…

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Q: Find the interval of convergence for the power series ΣΕ 71 0 -1) n_n 16n 22n Give your answer using…

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Q: Determine a suitable form of a particular solution if the method of undetermined coefficients is to…

A: NOTE: Refresh your page if you can't see any equations. . first, we need to find the complementary…

Q: Determine the degree three Taylor polyno- mial centered at x = 1 for f when f(x) = e³-4x 1. T3 =e¯¹…

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Q: Determine the dependent variable independent variable type pde/ode order degree linearity

A: Let's find characteristics of given differential equation.

Q: Question 19 If f'(x) = cot²x+1 and f ANSWER: Blank 1 KIN ______ 1, then 1 f(0)

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Q: Question 19 If f'(x) = cot² x + 1 and f(1) = 1, then ANSWER: Blank 1 Blank 1 Add your answer 1 f(0)…

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Q: Find the most general antiderivative. [(-3 cost) dt

A: The given integral, ∫-3 cos tdt We have to find the given antiderivative.

Q: Find the length and direction (when defined) of u x v. When : u = 2i +2j -k; v = -i + k;

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Q: Solve the following equations in the interval [0, 2 ]. Note: Give the answer as a multiple of . Do…

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Q: What is the value of k in the equation [(3√x² +55√³)dx=21³/3 A) 5/8 B 3/5 8/5 5/3 25 +-x+ 8 k

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Q: 6. Use the limit definition of the derivative to find f'(x) if 1 x+2' (a) f(x) =

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Q: The series n=1 (2n − 1)! (n + 2)! O is absolutely convergent O is conditionally convergent, but not…

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Q: Airport B is 300 mi from airport A at a bearing N 50° E (see the figure). A pilot wishing to fly…

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Q: dy dx Using the power series method, find the general solution of + y = 0 about the point x(0) = 0

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Q: 2 (1+x)²d=1+y²

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Q: Can you clairy what answer goes where

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Q: In Exercises 1-4, write the simplex tableau for the given linear pro- gramming problem. You do not…

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Q: Solve the problem. Suppose a business can sell x gadgets for p = 250 -0.01x dollars apiece, and it…

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Q: 1. Find a, b, c, and d such that the curve y = ax³ + bx² + cx + d has its tangent line at (1, 1) and…

A: The curve y=ax3+bx2+cx+d has its tangent line at 1, 1 and at 0, -2 are parallel to lines y=3x+4 and…

Q: Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit. [°…

A: To express the integral as a limit of Riemann sums by using right endpoints.∫466+x2 dx

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Q: Suppose the angle A satisfies 0 0, determine: The quadrant for the angle A/2 = 1 Then, sin(A) =…

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Q: . What is the minimum possible perimeter of rectangle whose area 100 ??2?

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Q: TOPIC: LIMITS Evaluate the following limits. If the following limits produce an indeterminate form,…

A: To evaluate limits.

Q: 1 √√(x + y + z)ds, where C' is parmeterized by Find the value of integral r(t) = (15 sin(t), 2√14…

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Q: solve the following initial value problem by laplace transform. y"+2y'+y = f(t) y(0) = 0 y'(0) = 0…

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