Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x2 + 16y2 – 144 = 0.

Q: Find the area (in square units) bounded by the parabolas x² + 2y - 8 = 0. a. 7.10 sq. units b. 7.01…

A: Here we have to find the area bounded by the parabola.

Q: Find the length of the spiraling polar curve r = 7e²0 From 0 to 2π. The length is

A: We will use the length formula of a polar curve on a given interval.

Q: Find a differential equation that corresponds to the given direction field. Consider differential…

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Q: 6x² + 5x + 16 S x3 + 3x² + 2x + 6 5 Injx+31+ In (x² + 2)√2 tan ¹() + C Option 1 5 Injx +31+ In (x² +…

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Q: Question 18 If F is a conservative vector field in R³ and C is a loop (curve whose initial and…

A: To find which thing is true about given line integral.

Q: the polar coordinates to find the volume of a sphere of radius 1. -

A: Given;  Sphere of radius 1.

Q: Find the area of the region bounded by y = 3x - x² and the x- axis. 9/4 9/7 9/2 9/5

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Q: 4. Sketch the graph of a function that satisfies ALL of the following conditions: • D: {x ER | x# 4}…

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Q: 1/2 x3 1-x4 1/2 √3 - 2/2 √2/560 16 Option 1 1/11 Option 3 1 15 2 16 dx 1 Option 2 Option 4 15 8 √15…

A: Given, ∫012x31-x4dx

Q: 1 If sin(0) and is in the 4th quadrant, find cos(0) - 8 cos(0) = Enter your answer as a reduced…

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Q: Find a vector equation for the plane that contains the points P, Q and R Find a scalar equation for…

A: Given points: P(2,1,1),Q(0,4,1),R(−2,1,4) and S(1,5,−4) Equation of a plane in cartesian form…

Q: f' f" 1 I I 1 I 1 I I 1 A A B D B D y C E D E

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Q: Convert the Cartesian coordinate (-2,-4) to polar coordinates, 0≤ 0 0 r = Enter exact value. 0 =

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Q: Tiffany has the following coins in her piggybank a 1cent, 5cent, 10cent, 25cent, 1 dollar and 2…

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Q: Convert the rectangular coordinates (5,-5√3) to polar form. Letr> 0and 0 <0<2TT.

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Q: The region D bounded by y=0, x=y - 1, X x = as given in the following figure. YA 3.0+ 2.5- 2.0+ 1.5+…

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Q: The integral of sin x³ dx is cos x + Option 1 cos³ x 3 + C cos x + Option 2 cos² x 2 + C

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Q: If u and are orthogonal to each other, then u x O True False = 0.

A: Given :u→ and v→ are orthogonal

Q: Determine the magnitude of the vector difference V' = V₂ - V₁ and the angle 0x which V' makes with…

A: We have to find the vector and angle.

Q: no working required just final ans

A: To solve the following problem

Q: e. at the course h the courf. e obtained fr eln (1-t) - dt 1-t A ed to you in any form is ed on [√x³…

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Q: Convert r= 2 7 sin 9-cos 0 to rectangular form. Enter your answer in slope-intercept form by filling…

A: The given equation:r=27sinθ-cosθ.We need to convert it into rectangular form.

Q: Use differentials to estimate the value of 1.2. Compare the answer to the exact value of 1.2. Round…

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Q: Find the absolute maximum and minimum values of the function f(x)-cos²x-3sinx on the interval 0≤x≤7.

A: First I have find the derivative of the given function and set them to zero .Solved them to get the…

Q: Question 9 This triple integral represents the volume of a cylinder. O True O False V = f²" f² fr dz…

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Q: y = log sin x (csc 4x)

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Q: 8. Use the given graph to estimate the left Riemann sum for the given interval with the stated…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A straight river flows east at a speed of 11 mi/h. A boater starts at the south shore of the river…

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Q: Ja 2s + 2 (s² + 1)(s - 1)³ ds

A: Given :∫2s+2(s2+1)(s-1)3ds

Q: Use lagrange multipliers to determine the maximum and minimum values of f(x,y)= xy subject to the…

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Q: 2. Determine whether the vectors a and b are parallel, orthogonal or neither for the given a and b.…

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Q: 5. I. Evaluate each determinant. -2 -1 4 2

A: Finding the value of determinant

Q: A rectangular bird sanctuary with one side along a straight river is to be constructed so that it…

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Q: (b) the volume of the solid B that lies above the cone z = 3r² + 3y² and below the sphere x² + y² +…

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Q: Evaluate the double integral: L y 1/3 27 +1 dx dy.

A: Given: I=∫08∫y132yx7+1dxdy The region bounded by the curves x=y13, x=2, y=0 &amp; y=8 is as shown…

Q: Zxx-4Zxy-Zyy=0 Zxx+4Zxy+2ZyY=0 Zxx+Zyy=0 Zxx+6Zxy+9Zyy=0 Zxx-10zxy+26Zyy=0

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Q: Given: 2y (y2-x) dy = dx ; x(0)=1 Find x when y=2. Use 2 decimal places.

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Q: Sketch the function f(x): x² +1 4x²-9

A: We need to sketch the function.

Q: Given the triangle to 4 decimal places. x = 26/ 42° 28 x find the length of side x using the Law of…

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Q: Using trigonometric substitution in integrating sqrt (x^2 - 49), the adjacent side is equal to?

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Q: f. √₁²√x (x − 2x² + 1) dx -

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Q: Find an equation of the plane tangent to the following function at (0, 0): O z = 9 O 2x +2y+z-7=0 O…

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Q: A sales analyst determines that the revenue from sales of fruit smoothies is given by - 70x² + 420x…

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Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

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Q: 3. Find the cross product u X v when u = and v = .

A: Here we have to find the cross product of two vector.

Q: 16y¹ fit+22 (x,y) → (0,0) (b) lim (0'0) ← (¹x)

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Q: The area bounded by the parabola x²- 2x+y=3, the y axis and the line y=4 revolves about line y=4.…

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Q: Calculate the gradient of h(x, y, z) = x z

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Q: Sketch the region on the plane defined by the following integral. Then, switch the order of…

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Q: Find the area of the curve y = x² and y = 9

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…