Evaluate the integral i.) 2 S² S₂y ez dxdy हैं,

Q: 2- 3- Evaluate the integrals in Exercises [² dx L₁3 3 dx 3x - 2 dy 1- 2. S sec y tan y 2 + secy

A: We can answer all the three questions as below.

Q: Question 13 Which of the following satisfies the differential equation d²y dx² A. y = e³r B.y = e-3r…

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Q: Numerical Integration: 1 So Fede dx 1. 0 2. 2 (2x² – 3x) dx -

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Q: 1 B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y²

A: To find all the second derivatives for fx, y=3xy2+2xy+x2 ln1x2+y2.

Q: Let R be the region below enclosed by the curves r = 2 - y², y = − sin (7₂2), and x = -1, as shown…

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Q: Consider the following graph. Step 1 of 2: Determine the intervals on which the function is concave…

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Q: (b) Prove that the improper integral ]] converges. dr dy (1 + x² + y²)³/2

A: Given problem:-

Q: 1 St √√x" dx 4 1 S²₁ (x) ³² (X) 5 JX

A: Given query is to find the value of the integral.

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Q: Consider the following graph. Step 2 of 2: Determine the x-coordinates of any inflection point(s) in…

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Q: Find the one-sided limits of f(x). Step 1 of 2: Find lim f(x). x--7 f(x) = -7x-3 -4x² + 4 if x < -7…

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Q: The points A(3, 0, 1), B(2, 0, 2) and C(3, 1, k) form a triang area Determine the value(s) of k for…

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Q: EXAMPLE 1(DISK METHOD) Find the volume of the solid generated by revolving about the x-axis,the…

A: Given problem:- EXAMPLE 1(DISK METHOD)   Find the volume of the solid generated by revolving about…

Q: Calculate the area and show the graph of the curves:

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Q: 6. Find the limit, if it exists. If the limit does not exist, explain why. tan 5x sin 6x (a) lim 20…

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Q: that the internal of Convergence of the server 24-12-1 Z n=1 (4-3)² not is given by - √/24 x = = =…

A: Using ratio test, to find wheather series is convergent or divergent in which interval.

Q: Let y 3x² + 3x + 4. = Find the differential dy when x = 4 and dx = Find the differential dy when x =…

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Q: find differential equation of the following equation 3) dy +xsin(2y) = x cos² (y)

A: Given

Q: E) Evaluate the triple integral on the left in each of the following: (a) ff₁dz dx dy = 1 "dz dy dx…

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Q: The law of Sines. b) Given: A= 36° a = 8 b=5 Find: B-? C-? c-?

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Q: Z A Consider the tetrahedron ABCD with vertex A at the origin as shown: (a) Find the equation of the…

A: Given that: A=0, 0, 0; B=0, 0, 3; C=0, 4, 0; D=6, 0, 0 We have to find:  a) An equation of a line…

Q: to onuabjanip 2+1 (-1) 7-1 Jo to - 두 + 두 Soudbranvol - 1 Prove the

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Q: 2. Evaluate r sin rdr using integration by parts.

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Q: Find the equation of the tangent plane to the surface f(x,y)=In(4x²-2xy-y²) at the point P(-1,-1,0).

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Q: y = ln x and x-y-4 = 0

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Q: Find the directional derivative of f(x,y)=sqrt(x²+y²) at P(4,- 3) in the direction of μ=[8,-15].

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Q: Evaluate the following: 1. f(x³ + 3x²)dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Differentiate and simplify this function g (y) = y3 / ln(2y)

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Q: Suppose f (a) g' (b) h' TU IT (5) = −5. Let g(x) = f(x) sin(x) and h(x) = cos(x). Find the…

A: SOLUTION-

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y-2= 0 is…

A: We know that if y=f(x) ,and y=g(x) are two curve intersecting at  x=a and x=b  the required volume…

Q: 5. 6. (log4(x²) dx x (log4 x)² ORA dx

A: We have to evaluate integral

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Q: Let y 5x²8x + 4. If Ax = 0.1 at x = 1, use = differentials to estimate Ay Ay ~

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Q: Step 2 of 4: Find lim f(x). x--3+ 10 10 -10 Keypad Keyboard Shortcuts Selecting a radio button will…

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Q: Biologists have proposed a cubic polynomial to model the length L of Alaskan rockfish at age A: L =…

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Q: Prove that any group of order 40, 45, 63, 84, 135, 140, 165, 175, 176, 189, 195, 200 is not simple.…

A: According to Bartleby guidelines I can only answer the first three questions of the given problem.…

Q: Find the points on the cardioid r = sin(2θ) where the tangent line is horizontal. Draw.

A: We have to draw the cardioid r=sin(2 theta)  And find the point where the tangent line is…

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A: Given function, f(x)=1.6x+8.3 Where x is in months.

Q: Find the particular solution using the initial condition. y' sin(2y) - cos x = 0, y ( ) = 0 O y =…

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Q: P3: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x²-y-2 = 0…

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Q: Find the particular solution of the following differential equations with the given condition. 3) dy…

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Q: Q1. Construct the reduction evaluate Ssind in ndx and use it to Qala) Use the inverse function…

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Q: Set up the integral to find the area of M, using vertical ectangle. Let M be the region bounded by…

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Q: 4. A population of squirrels is currently measured to be 500 squirrels a. Write a function P(t) to…

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Q: (2) Evaluate the iterated integral by converting to polar coordinates. 1 √x-x² (x² + y²) dx dy [] 0…

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Q: 3. Evaluate 5 sin rdx B

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Q: The function of given by f(t) = 10e0.07t models the balance in a bank account, in thousands of…

A: Use exponential growth formula for finding the first two .

Q: dy dx +y = 0 y(0) = 1 Using Power Series, solve for y(x) at x₁ = 0 Using First Order Runge-Kutta…

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Q: 4. Find the volume of the solid generated by revolving about the line y=-3 the region bounded by the…

A: Using disc method, volume is evaluated.

Q: Find the average value of f(x) = 2x3 2x² 3 3 Submit an exact answer using fractions if needed. + x -…

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