Graph the pair of parametric equations with the aid of a graphing calculator x = 4 sin t - sin 4t, y = 4 cost - cos 4t, 0 st ≤ 2n

Q: The daily total cost(in dollars) incurred by Nando’s for producing q cases of PERi-PERi sauce is…

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Q: dy II. Find Do not simplify your answers. dr 2. y= tan ¹(coshr) (sin²x) (sech x)secz S [use…

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Q: Below is the graph of altitude A(t) for a balloon that is rising and falling. 15,000 A(t) 10,000…

A: In the given graph we have to determine tmin and tmax

Q: Write TRUE if the statement is correct, otherwise write FALSE. y y = h'(x) (-3,0) (3,0) x (0, -1)…

A: To write TRUE if the statement is correct, otherwise to write FALSE. Suppose that hx is continuous…

Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

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Q: 4. Evaluate lim (cos x) ¹/2². 2-0

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Q: 4. The integration da can be solved by using the 2+-2 ³+1 ♦ (Choose the correct letter). ²+2-2 A…

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Q: Integrating Factor by Inspection: 5. (xy-2y²)dx - (x²-3xy)dy = 0

A: (xy-2y2)dx-(x2-3xy) dy=0x(y dx-x dy)-2y2 dx +3xy dy=0dividing by xy2;(ydx-x dy)y2-2x dx +3y…

Q: Solve the given initial value problem and determine at least approximately where the solution is…

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Q: 2 Find the center of the following equation.      x 2 +y 2 + 8x - 6y - 15 = 0 (4, 3) (8, -6) (-4,…

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Q: Find the laplace transform of ƒ (t) = 3t³ − 2e²t + 2 cos 2t OF (S) = OF (s) = OF (s) = OF (s) = OF…

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Q: Find the length of the curve. 1² (2t+1)³/2 X= 2 3 The length of the curve is 1, y = 0≤t≤2 (Simplify…

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Q: 4 Identify the center of the conic section whose equation is x 2 +y 2 + 6x - 4y - 12 = 0. (-6, 4)…

A: The given equation is; x2+y2+6x-4y-12=0   As we know that; The general form of equation of the…

Q: Apply the first derivative test to indentify all relative extrema. f(x) = cos² (2x)

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Q: V. Given: 2. Find f'(2), if it exists. f(x) = el32-61-2, [2x - 5], √x²-9, if x 3 14

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5…

A: Given data÷

Q: 8 sin 8. Then sketch the curve.

A: The correct curve of r = 8 -8sin(θ) is  Option (C)

Q: 5. (a) Find the exact value of sin (20) given that sin (0) = 3/5 and 0 is in quadrant II. (b) If cos…

A: Given problems:- 5. (a) Find the exact value of sin (2θ) given that sin (θ) = 3/5 and θ is in…

Q: Determine the values of r for which the given differential equation has solutions of the form y =…

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Q: Problem 4 The helix r(t) = (cos(xt/2), sin(xt/2), t) intersects the sphere x2 + y² + z² = 2 in two…

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Q: if any. Find the absolute extremum point (s) of f(x) = el-cost on [-, π],

A: Given data÷

Q: 60. (a) dx SI dt 1 + √t (b) de fint di dt

A: We can solve this as follows:

Q: π/4 x² dx (x²+4)5/2 0 (Use trigonometric substitution)

A: Given integral I=∫0π4  x3(x2+4)52 dx

Q: Find the value of d²y/dx² at the point defined by the given value of t. x = sint, y = 7 sint,t=4 14…

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Q: 8 An acceleration function is expressed as a (s, v) = s²- determine displacement by integrating '…

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Q: Question 10 x²+x+1 Ja 2x²+2+x³+x So - dx = [Aƒ (x) – B ln(g(x)] + D fb dx, and if A = ,B<0, then…

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Q: Find the exact value of sin (2θ) given that sin (θ) = 3/5 and θ is in quadrant II.

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Q: 17 Select the conic section represented by the equation. 4x 2 -y 2 + 24x + 4y + 28 = 0. circle…

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Q: VI. Suppose h' is continuous at x = 0 and h'(x) =tan(2x) - 1 if x > 0. Find h(0), if it exists.

A: Let's find.

Q: Find the volumes for the following solids whose heights are defined by Z(x,y) and bases are the…

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Q: Q: Evaluat the integral. Q₁ is's ex dxdy 3y +²

A: Here we have to find the integral.

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 1 + ²/ 1. lim x12x² + x1

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Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Use the application of derivative and find the maximum volume.

Q: Let w = x³y cos(5z). Find the following. (a) g(x, y, z) = дw (b) Əy(x, y, z) = ду (c) o (x, y, z)…

A: Given data÷

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 1. lim 1+1/3 x-12x²+x-1

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Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 7 dx x² + 2xy…

A: To find the solution of given differential equation in implicit form.

Q: Change the polar equation 2r = 2 + cos 0.(2r - 1) to Cartesian equation

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Q: Find the area under the curve y = Find the average value of y = 7x³ over the interval [0, 4]. 7x³…

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: The junior class has 50 students. Fifteen students take only French, 5 students take only Latin, and…

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Q: Find the tangent line approximation 7 to the graph of f at the given point. Then complete the table.…

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Q: Find T(t) and N(t) at the given point. π r(t) = 4 cos(t)i + 4 sin(t)j + tk; t = 2 4 1 T(+7) = -√17 Т…

A: given  as you have already found Tangent vector

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2x² - 2 dy= Need Help? Read…

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Q: Consider the function y=x³ - 9x + 4. a. Sketch the graph of y= x³ – 9x + 4. b. Find and describe the…

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Q: 5. f(x)= x³; [2, 3]

A: To calculate area under curve we have to integrate the function within the given limits Please note:…

Q: Verify Green's Theorem by evaluating both integrals dA [_v² dx + x² dy = [] (ON-OM) A ax ay for the…

A: Let's find.

Q: Solve the following differential equations of d²y dy dx² +==X dx

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Q: Find the volume of the solid generated when the region enclosed by the given curves is revolved…

A: This question is based on application of integration.

Q: Find the length s of the circular arc. (Assume r = 5 and ? = 130°.)

A: s =r*θ θ in radian s = 5*130π/180 s =11.34