Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 34 square centimeters cm (smaller value) cm (larger value)

Q: x = 10t, y = t², (0 ≤ t ≤ 1). In each part, evaluate the line integral along C. NOTE: Enter the…

A: To find the values of given line integrals.

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Q: Solve the initial value problem. Y 6 dy dx 2xy = 8x, y(0) = 5

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Q: Homework 12 Polar: Problem 2 The limacon r = 1+ csin(0) has an inner loop when |c| > 1. (a) When c>…

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Q: Question 11 > Suppose f(x)=√√. Give the function for each of the following transformations. The…

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Q: 15. Sketch y = f(x). Properties are: Max at P(2, 2) Mins at Q(4, -1), R(-1,2). Oblique asymptote y =…

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Q: veen y - II [U, 1].

A: We will find the area .

Q: Which of the following is the derivative of x³ + 4x + 1? x² + 4x 3x² + 4 x²+4 3x²+4+1 3x² O

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: [√x (x - 5)dx

A: ∫xx-5dx∫xx-5x dx∫x32-5x dx

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Q: Find the limit. Use l'Hospital's Rule wher lim [In(x⁹ – 1) – In(x³ – 1)] - - *-1*

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Q: Differentiate: arcsin (# )+ 0 1 (E) None of these O x/y O y/x 00 + arccos (-) = 1

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Q: Find two positive numbers that satisfy the given requirements. The sum is S and the product is a…

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Q: Determine the convergence or divergence of a series whose nth term is given by 1 (d) n> 10. (e) n(In…

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Q: Solve the following differential equations of y" + 6y' + 5y = 10 sin (2x)

A: The given differential equation is  y''+6y'+5y=10sin(2x).

Q: ergence or divergence of the given series or state that the Root Test is in 1 n=1 non x.)

A: Given :

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A: Given problem:- 3Write down the name of the conic given by the polar curve r = 6/(2-sin(θ))…

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Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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Q: Solve the following differential equations of y"-2y' +24y=3sin(4x)+6cos (7x)

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Q: dx 3xy 10. Find for xy = In (cos x + sin y) by using implicit differenti dx 1. Find dx for y³ + 4x…

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Q: Find dy. Do not simplify your dx answers cashy (x² + + 7) = x curt y² 1. COS -241

A: As per the instruction, we will be answering only the first question. For (1),…

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Q: Find r'(t), r"(t), r'(t) ・r(t), and r(t) × r"(t). r(t) = 2t2i - 2tj + 2 13배 (a) r'(t) (b) r"(t) (c)…

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Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series where Sk is the partial…

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Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. [²4x³…

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Q: 1 - √xdx

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Q: Express the function as the sum of a power series by first using partial fractions. f(x) =  x + 4…

A: Solution: f(x)=x+42x2-5x-3

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Q: 2. Find the indefinite integral (Scos(4x) + √x dx

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Q: Find the integral of the following equation integrate cos(x + pi/3) dx

A: Given problem:- Find the integral of the following equation integrate cos(x + pi/3) dx

Q: A sketch of the region enclosed by y = x and y = 2 2 7 Area of the region 24 wo Q 7.5x x² + 1…

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Q: A manufacturer has determined that the total cost C of operating a factory is C = 2x² + 60x + 200,…

A: Given problem:- A manufacturer has determined that the total cost C of operating a factory is   C =…

Q: (b) r(π/4)= (c) r(0 - π) =

A: We have to find the value

Q: Find T5(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x) = = Using…

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Q: Find the interval of convergence of n²x³n 33n n=1 interval of convergence = (Enter your answer as an…

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Q: Solve for the solution of: (D2 - 4)y = 8e2x - 12

A: Given problem:- Solve for the solution of: (D2 - 4)y = 8e2x - 12

Q: 4. A unit vector orthogonal to A and whose representations are parallel to the yz-plane.

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Q: Find the slope of the tangent line to the polar curve r = sin(70) at 0=. Enter as an integer or…

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Q: The graph of f(a) shifted right 3 units and shifted down 5 units. Of(r). 3-5 Of(x)= -3+5…

A: Let's find.

Q: X + y = 3лab2 У Злаb2 у X find y" in complete solution

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Q: derivative of 4x³?

A: Find the derivative of 4x3                 Let        y= 4x3

Q: Find all solutions of the equation in the interval [0, 21). csc 0 7 3 If there is more than one…

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Q: onsider the quadratic function f(x) 2²-3x + 10. etermine the following: (enter all numerical answers…

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Q: Find the exact length of the curve. X = v 3 y (y - 3), 16 ≤ y ≤ 25

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Q: if x ≤ 2 f(x)= [2x - 5], if 2 3 1. Determine if f is continuous or discontinuous at r = 2 and r =…

A: Solution of the problem as follows