Evaluate by separation of variables. dB u(1 – u?) sec² ß | du

Q: Differentiate implicitly to find dy/ dx. Then find the slope of the curve at the given point. x²y? =…

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Q: Several statements about a differentiable, invertible function f(r) and its inverse f-(z) are…

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Q: Find a unit vector u in the direction of v = (2,-1,5) Ou-( 30 /30 1. u = 30 30 O None of these (4,1,…

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Q: Q5: (a) Let 1 A -1 0 2 and B = -1 2x2 3 2x2 Evaluate A×B (b) Find the inverse of: 1 0 0 0 A = 2 1 0…

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Q: Learning Task 4: Given the equation x2 +y² =9. 1. Differentiate using implicit differentiation. 2.…

A: Since, the student has mentioned to solve only part numbers (4) and (5), so we are solving part…

Q: What is the percentage of increase in the volume of a sphere if its surface area is increased by…

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Q: ................................................. Determine whether the lines intersect, and if so,…

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Q: Find the volume of the solid generated by revolving the area of a circle. (x-3)²+y²=9; about the…

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Q: xdx Evaluate (x²-2)5

A: Given query is to evaluate the integral.

Q: The region bounded by the given curves is rotated about the Specified cukis. Sketch the region and…

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: 9/ Evaluate (cos* 0 – sin* 0)de T/12

A: Note that: cos4θ-sin4θ=(cos2θ-sin2θ)(cos2θ+sin2θ)=(cos 2θ)(1)=cos 2θ

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: 1. The Fibonacci sequence is given by the recurrence relation a, = a,-1 + a,-2; a, = 0, a, =1. Write…

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Q: Which of the following is NOT a solution to the trigonometric equation sin 0 + cos 0 = 1? O Option 1…

A: Substitute the values given in the options and verify.

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). X00 X-00 -5 + 2e-* f(x)…

A: The objective is to evaluate the limit.

Q: Direction: Find the differential equation of the family of curves described. 1. Find the…

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

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Q: Determine the direction cosines and direction angles for Á =

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Given than | f(x) dæ = 4 and f (x) da 8, which of the 3 following is NOT TRUE?

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Q: 41m Illustrate and find the largest negative coterminal angle of 6.

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Q: 11 2

A: We can solve this as follows:

Q: Bernoulli Equation (10) y'+3x²y = 4x²y² (11) (x²y* – 1)dx + x³y³dy = 0 (12) x2 4y + 2xy = 5y3

A: Note : As per our Guidelines , we can solve first question . Please repost remaining question.…

Q: 4. DETAILS LARCALC11 11.5.056. Find an equation of the plane with the given characteristics. The…

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Q: Determine whether each point lies on the line. x = -2 + t, y = 4t, z = 5 + t (a) (0, 8, 7) O Yes No…

A: topic - lines and points

Q: From a window 30 feet above the street, the angle of depression of the curb on the near side of the…

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Q: Graph the equation below. Choose the correct graph. y = 5.5* OA. O B. OC. OD.

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Q: Solve the system of linear equations using Gauss-Jordan Elimination and Reduced Row Echelon Form…

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Q: e length and breadth of the floor of a room are 30 ft. and 20 ft. pectively. Square tiles of 2 ft.…

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Q: Given the function below find the value of f(-4). * if x -5 2x² + 1 f(x) = O -67/16 None of these O…

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Q: ind cylindrical coordinates of the point with rectangular coordinates (3, –3, –7).

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Q: Find the maximum value of the function f(x) = x3 - 9x2 + 15x-5. Answer.

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Q: A rancher wants to fence in a rectangular area of 18000 square feet in a field and then divide the…

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Q: ) Given the following derivative function 2x – 5 f'(r) = Þ – I^ what are the critical numbers of…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Consider the following. u = 5i - j - k, v = -i + 5j + 2k (a) Find the projection of u onto v. (b)…

A: The expression for the vector projection of u onto v is: projvu=u·vv2v And The expression for the…

Q: Find the area of the region in the first quadrant bounded by the curves y = sin x, y = cos x and the…

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Q: A function f(x) passes through the points (15,24), (18,37), and (22,25). Use the Lagrange Formula to…

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Q: Consider the function f(x) whose second derivative is f''(x)=2x+3sin(x). If f(0)=2 and f'(0)=4, what…

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Q: Consider the function y = 4ex + 7. What is the exact value of C in the interval [0, 5] such that…

A: We need to find value of C.

Q: Integral Calculus: Integration by Parts (Original method

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Q: vo Variables 4)dr + (2r. (2. 4x)dı

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Q: Fove that y = ln|| is a solution to 1+e-22 - xey-x² . Use the initial values x = 0 and y = 0.

A: Given query is to find the solution of the differential equation.

Q: dx x* +3

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Q: Let the region R be the area enclosed the function f (x) = x2 + 1, the horizontal line y = 6, and…

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Q: (w°t wz? -z) dw +(z² tw² -w) dz= 0

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Q: 2. y = loga(x³ + 2x – 2)

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Q: Consider the function y = 3x2+2x-4. What is the exact value of C in the interval [-2, 4] such that…

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Q: Substitution Method dy xy = 0 (7) (x² – y²) (8) 2xy = x² + 2y² - - dx dx (9) (1 1 3r sin v)dr r2 cos…

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Q: Recall: v = can be written as v = ai + bj + ck , where i = , j = and j: . Let v = – 2i + 5j – 4k…

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