f5(x³ + x)⁹ (3x² + 1)dx O 5(x³+x) ¹0+C 10 (x²³+x) ¹0 10 +C O 45(x³ + x) +C O(x³ + x)¹0+C

Q: Find the acceleration u= 2x² + 3y, v=- - 2xy + 3y² + 3zy, Example the following flow field: W =- at…

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Q: F. Determine whether each linear system is solvable. 4. x = 2 (mod6) 5.x = 2 (mod6) x = 5 (mod9) x =…

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Q: Find the regions where sinx sx.1

A: Topic:- trigonometry

Q: 17R(1,1,3), S(3,-3,6) and U(-2,4,7) are three vertices of parallelogram RSTU. a) Find the…

A: Given that the three vertices of a parallelogram RSTU are R1,1,3, S3,-3,6 and U-2,4,7 Now, let the…

Q: ind the regions where sinx Sx.f

A: Topic:- trigonometry

Q: Find the limit algebraically by factoring the expression first. lim x--10 x + 10 -10x² + 1000

A: Follow the procedure given below.

Q: B C a A b Note: Triangle may not be drawn to scale. Suppose c = 11 and A = 55 degrees.

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Q: Find two positive numbers that satisfy the given requirements. The sum of the first number cubed and…

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Q: Describe the advantages and disadvantages of using linear scale axes versus logarithmic scale axes…

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

A: The given function is:Fx=x2-1x-1

Q: Evaluate √x² cos (2³) de dx

A: The given integral is: I=∫x2cosx3dx    ...1   As we know the common integral. ∫cosxdx=sinx+C And…

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for -5≤x≤5 f(x)= 2x…

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Q: analyze and sketch the curve y=x² / (x-1)

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x)= |x-1| In its domain. a.…

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Q: əz дz Find and ax if z is defined implicitly as a function of x and y by the equation ay + +z6+…

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Q: 13. dx √ex-1

A: Given: I=∫dxex-1   ...1   As we know that; The Chain Rule: fgx'=f'gx·g'x And ∫1x2+1dx=tan-1x+C

Q: 1. f(x) = x² − 16x, [3, 10] 2. f(x) = 15 – 2x − 2x², [1, 2] 3. f(x) = 2x³ + 3x² − 12x + 24, [−4, 0]

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Q: C

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Q: 1. Show that z³+y³ lim (x, y) (0,0) 1² + y² does not exist.

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Q: H.W: Solve the differential equation y'-(1+x)(1+y²)=0

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) t²3t- 28 lim t→7 t-7

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Q: A rectangle is enclosed by the coordinate axes and the line 2y + x - 5 = 0 Determine the length and…

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Q: Convert 100 dollars to "widgets" (1 dollar = 3.94 widgets) 39.4 O 3940 394

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Q: Find all the second partial derivatives. f(x, y) = x³y² + 6x^y fxx (x, y) = {xy(x, y) fyx(x, y) (xin…

A: We want to find second order partial derivatives.

Q: 14. √2-√x dx

A: SOLUTION-

Q: /Use the mid-ordinate rule with eight intervals, to evaluate √²3sin² (x), correct to 3 decimal…

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Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region above the…

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Q: 2/2 2 sin³(x) dx

A: Here is the solution of the given problem.  To solve the problem we use the following formula:…

Q: Find the value(s) of k that makes the given function continuous. (-x+2 if x < k f(x) = 4x + 3 if k ≤…

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Q: For the function R whose graph is shown, state the following. (If the limit is infinite, enter '' or…

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Q: [ (ax + b) c+b) dx = ○ / (ax + b) ² + C O O4a ¹ª (ax + b) ² + C O4a (ax + b)² + C O4 (ax + b) + C 7a

A: You must have basic idea about indefinite integral in order to understand this better.

Q: Use a graphing utility to graph the equation. Use a standard setting. y = x2 − 6x + 5 x-intercept…

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Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the…

A: Recall:  V=∫abπf(x)2dx We have a=0, b=6, f(x)=e-x

Q: • Evaluate ¹ € (0+2) -doc

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Q: Solve 2 cos² (x) - 3 cos(x) + 1 = 0 for all solutions 0 ≤ x < 2π X = Give your answers as a list…

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Q: dy 1+x²)²e³ = -2x dx

A: Topic:- differential equations

Q: 17. If a vector function v(t) = (t, ln t, t-²) is given for a scalar function Ø = x Inz + √y-cos(x +…

A: We have to determine the line integral.

Q: xdx √2x-1

A: This question is related to indefinite integration, we will solve it using given information.

Q: 2. Consider the function F, that assigns x in its domain to x²-1 F(x) = |x-1| In its domain. a. What…

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Q: The volume generated by revolving the first-quadrant area bounded by the parabola y2 = 8x and the…

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Q: 1. Find the following antiderivatives. (a) [² cosh x + 1 sinhx dx

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Q: Find the centroid x of the plane region y=9-x^2 bounded by the positive x and y axes. O x = 3/4 O…

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Q: If f(x) = x³ +1.5x² - 90x + 16, find analytically all values of a for which f'(x) = 0. (Enter your…

A: This question can be solved using the concept of differentiation.

Q: 3) The correct solution of the center of mass bounded by x=y² and x= 2y = y² if the density is 6 = y…

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Q: Find the area of the region enclosed by the curve y=x²-3x³ + 2x² at interval from x=0 to x = 2.…

A: The graph of the curve y=x4-3x3+2x2 is To evaluate: The area of the region enclosed by the given…

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) = |x-1| In its domain. a.…

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Q: Prove the limit below exists and find its value to 6 digits but replacing n for a large value and…

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Q: 4π 3 If Ꮎ cos(0) = sin(0) = = then

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Q: Given f(x,y)=x²y³-4y, find the directional derivative at the point (2,-1) in the direction of v=.

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Q: 1. If F(x)= = cos a sin r (√t-1)' dt, find F'(x).

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