Find the area A of the region that lies inside r = 5 sin(0) and outside r = 3√3- sin(0). A= Que Que Que Que

Q: 4. Find the absolute extrema of the function f(x, y) = ry-x-3y on the triangular region with…

A: To find the absolute extrema of the function f(x,y).

Q: r = 12 sin 18ti + 12 cos 18tj

A: Given :

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Q: Evaluate the following indefinite integrals using integration by trigonometric substitution.…

A: Solution in done in step 2

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Q: Given that 1³ ex dx 5e³ - 5e +8 Need Help? dx = e³e, use this result to evaluate Watch It Master It…

A: Given integral is used.

Q: Homework: Module 3 HW 16.4 Apply Green's Theorem to evaluate the integral. $(8y +x)dx + (y + 7x)dy…

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Q: The table gives the values of a function obtained from an experiment. Use them to estimate S² f(x)…

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Q: Find the limit. lim (t i 6 j + t² k) t-5 lim (t i − 6 j + t² k) = i t-5 i+ i j+ i k

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Q: Find the points of inflection and discuss the concavity of the graph of the function. x+7 f(x) =…

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Q: Solve the following equations: a) y√(1-x²)dy + x√√(1- y²)dx=0 dy x(2 ln x+2) b) = dx sin y+y cos y y…

A: To integrate.

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: Susan invested $2,500.00 per year in an IRA each year for 10 years. The interest rate was 7%…

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Q: Determine whether F(x, y) = 4x²y i+ 9xy²j is a conservative vector field. If so, find a potential…

A: Determine whether F(x,y) is a conservative vector??

Q: 6. Without graphing the function on your calculator, find the limit. Use L'Hopital's Rule where…

A: Solution of the problem as follows

Q: a) Find the distance between two skew lines L1 and L2 such that L1: 1+ 4t, y=5-4t, z=-1+5t  L2:…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Consider the curve C of equation: (x² + 2y + y²)² = 4(x² + y²). From the following options choose…

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Q: d² y +3-10y=3x² dx² dx

A: Given; d2ydx2+3dydx-10y=3x2 So, we can also write as; D2+3D-10y=3x2 So, the auxiliary equation is:…

Q: The revenue from the sale of a product is given by the function R=3000x-0.1x³ dollars. Use graphical…

A: Write an inequality to represent that revenue must be at least $39,960. 3000x-0.1x3-39,960≥0

Q: d²y_dy + y = 0 dx d³y_d²y dx³ dx²

A: Auxillary equation ism3-m2-m+1=0m2(m-1)-(m-1)=0(m2-1)(m-1)=0(m+1)(m-1)(m-1)=0m=-1.1.1  are the roots

Q: 5. S COS X 2+3sinx dx

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Q: Find the equations of the lines tangent and normal to the curve guen by para- metric equations at +…

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Q: Evaluate __imit= Hint: Use a power series expansion. lim z 0 e-32³ 1+3x³ 71⁹ 9 2 o..

A: Given problem:-

Q: y-1)dx + (5-2x-y)dy = 0; y(0) = 0, implicit s

A: answer is in next step

Q: Sketch the region enclosed by the curves x − 5 = 4y and x − 21 = (y – 4)², and compute its area. A

A: The given curves are; x-5=4y and x-21=y-42 Now find the point of intersection between the given…

Q: As you will show, exponential growth functions ekx always dominate power functions x", and power…

A: Given problem:-

Q: Evaluate the vector-vall function at each giver r(t) = cos(t)i + 3 sin(t)j (a) r(0) = (b) г(π/4)=…

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Q: Without graphing the function on your calculator, find the limit. Use L'Hopital's Rule where…

A: Given problem:-

Q: The angle of elevation of the sun is 63°. Find the length of a shadow cast by a person who is 5 feet…

A: Here we have to use the concept of the trigonometric ratios

Q: Find the maximum area of an isosceles triangle inscribed inside the ellipse x²y² 1, + = a² 62 with…

A: Given problem:- Find the maximum area of an isosceles triangle inscribed inside the ellipse x2/a2…

Q: Evaluate the definite integral. 15t L² (elst i + e i+e¹j+t k dt 1 k)di

A: Here we have to use the concept of definite integral.

Q: Find the radius of convergence of the power series. (If you need to use ∞o or -∞o, enter INFINITY or…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² +7 1 lim t +∞o (?, ?) 5t² + 6'5t,

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Q: The population of a country is modeled by the function P(t) = 15.9e0.01462 where P(t) is the…

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Q: The following rational equation has denominators that contain variables. For this equation, a. Write…

A: Given problem:-

Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: Find an equation of the plane through the point (2, 0, 1) and perpendicular to the line x = 3t, y =…

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Q: Evaluate the following indefinite anti-differentiation   ∫ 5xdx

A: ∫5xdx=5∫xdx=5×x22+C=5x22+C

Q: Introduction to Derivatives ections: Read the paragraph. On a separate sheet of paper, answer the…

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Q: Ily approximate the differential dy when x changes from 64 to 64,07 Y

A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…

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Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t) ||³ = r(t) = e³ti + e-tj to find k(t).

A: By using the formula kt=r't×r''tr't3 to find kt.rt=e3t i+e-t j

Q: 3. To the right is a plot of the line of equality and the Lorenz curve for Poland in the year 2018.…

A: We need to set up integral. NOTE - As per Bartleby's guidelines we can solve one question from…

Q: 3) The weekly online sales, S(t), in thousands of dollars, t weeks after online sales began, is…

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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: Write the first four terms of the sequence whose general term is given below. (-1)^ 4 +1

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Q: 1 find the total differential dz. axeta TU

A: Find dz

Q: Find the first four non-zero terms of the Maclaurin series for f(x) = sin(x²) cos(x²).

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Q: d Calculate[ri(t) r₂(t)] and[ri(t) x r₂(t)] first by differentiating dt the product directly and…

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