1. Find r(9/2)=? 2. В (3, 2) %3D?

Q: Find the area of the region bounded by the given curves. Show the computed areas of sections using a…

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Q: 3. T The point 2, 3 is given in spherical 4 coordinates. Its rectangular coordinates are: 3 /6 2 2 2…

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Q: Solve the triangle. (Do not round until the final answer. Round angles to the nearest degree and…

A: sine and cosine rule

Q: y 4 (2, 4) y = 2x ソニx? Using a vertical element of area, the area of the shaded region is given by…

A: The objective of the question is evaluate area bounded by the given function and use the vertical…

Q: The Mean Value Theorem states: For any function, f, differentiable on (a, b) and continuous on [a,…

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Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Area bounded by the curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: 7 Determine the intgral

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Q: 1. Which of the following integration techniques should be used to evaluate f. sec? x V4 - tan? x}…

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Q: 14. The f'(4) for y = v3x2 + 1

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Q: Substitute the above values In the equatlon for (3/+ B) (31 + 8) = + 48 II II

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Q: a) Find the general solution to the differential equation f"(x) = e8x + 3x – 1 1.

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Q: Now, find the

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Q: Let v=f(x) be a solution of the first order linear differential equation y'=y-10x? such that f(0)…

A: The given problem is solved below in detail..

Q: V100-1000 lim y-10

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Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

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Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downward? O…

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Q: 2. Find the particular solution to the differential equation dy 2y? dx cosec (x) if the point…

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Q: Find the work done by the force field F(x, y, z) = xyi+ yzj+xzk or a particle that moves along the…

A: Given: Fx,y,z=xyi+yzj+xzkr(t)=ti+t2j+t3k

Q: An auto weighing 1,500 pounds is on a street inclined at 10" with the horizontal. Find the force…

A: Let's find.

Q: 2² – 2, a 3 is continuous everywhere. f(z) = O true O false

A: Given: fx=x2-2,  x≤3x+4,  x>3   As we know that; The function will be continuous at x=a when,…

Q: dr 1/4( In 4) o 1/( In 4) o In 4 In (4) 1/4

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Q: 3. Sx³V4 + x² dx

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Q: Determine whether the sequence converges or diverges, and, if it converges, find lim an: n-00 3 - 1n…

A: We have to find the limit

Q: Solve using quotient rule:  f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

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Q: Q3/ Find the limits x*+x²-2 1. lim X-1 -1 Vx+2-1 2. lim X-1 x+1

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: h(x,y)=x^3-3x+3xy2 for critical point  ∂h∂x=0∂h∂y=0 ∂h∂x=3(x^2)-3+3y^2∂h∂y=0-0+3x(2y)for critical…

Q: Find an explicit formula for an. 15) 0, -1, 0, 1, 0, -1, 0, 1, . . .

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Q: 5) Find the unit vector in the direction of v = 2i + j+k 1 - i+-j+ d) i+j+k 1 1 j+ V5 а) V5 k b)

A: We can solve this as follows:

Q: Step 1 To find the definite Integral 9 dx by the limit definition, divide the Interval [2, 7] Into n…

A: For the asked steps we can solve as follows.

Q: Waat is the degree of the following differential equation? dx dy + x²y dt? d"z = xyz dt? 3 2 O 1

A: The given problem is solved below in detail.

Q: Biologists stocked a lake with 280 fish and estimated the carrying capacity (the maximal population…

A: We need to estimate the carrying capacity.

Q: The cylindrical coordinates of the point with rectangular coordinates (-V2, -v2, v2) are (v2, , V2).…

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Q: Use Laplace transforms to solve the following initial value problem S y( (t) – y(t) = 8 (t) y(0-) =…

A: We need to find out laplace transform of the initial value problem, which is described in step 2 .

Q: Solve the equation xy^3 dx + (y + 1)e^(-x) dy = 0.

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Q: Answer what is required in the problem. d 1 -dt 1+t dx .17

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Q: x2 dx - 1

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: Use the integral test to determine the convergence or divergence of the series. 1 20) E k = 1 6k- 1

A: Let's find.

Q: Solve the following differential equations: . 2y ++ e* (1+) dx + (x+ 2y)dy = 0.

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Q: 10. By trigonometric substitution, we can transform dx into x*V4 - x2 A. Ssi'e sin ede В. 1 1 С. 32J…

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Q: Find the standard form of the equation of the hyperbola with the given characteristics vertices: (-…

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Q: Determine whether the series is convergent or divergent. If it is conve 00 2 (cos(26))k k = 1 Step 1…

A: Cos (26)= 0.647 Convergent Find the sum of series

Q: Evaluate the defınite integral. i+e"j+t k)dt O el2 12-( - 1) + O el2 – 1 i+ (e-' – 1) j + k el2 – 1…

A: ∫01e12ti + e-t j + t kdt=e12t12i -e-t j + t22 k01=e12112i -e-1 j + 122 k-e12012i -e-0 j + 022…

Q: is a function of K, and y, and tan - z*e®Y.

A: Given problem:- Z is a function of x and y tan√(y2+x2) =zx e6y  To find:-

Q: 8. Use vectors u = -3i - 3j, v = -li, and w = 5i + 6j %3D a. Determine the angle between u and w. a.…

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Q: Given the area in the first quadrant bounded by x^2 = 8y, the line y - 2 = 0 and the y-axis. What is…

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Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 6x, y = 0

A: Solution 1.  Given y=-x²+6x  And y=0 Now intersection point -x²+6x=0 X(6-x)=0 X=0 and x=6 Points…

Q: Consider the function f(x) = cos(3 x). (a) Give the derivative of this function. f'(x) = | (b) Find…

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Q: Match each graph type with its corresponding function. 1X Linear Function 1 y%3 2 2. y= log1 X…

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Q: Find the general solution of the given ODE * dy 3z+2y dr 3= -23x+2y +c 2=-23x+2y +C O Option 1…

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