Let X ~N(10,5^2). What is P(X>3)?

Q: The area of the region bounded above by y=3-x, bounded below by VE2-9, bounded from the right by X…

A:

Q: 2. To approximate the area under the graph of f(x)=x'+3x +2 for -45xs1, find the sum of the areas of…

A: ∫abf(x)dx≈∆xf(x0)+f(x1)+.......+f(xn-2)+f(xn-1)∆x=b-an, n=number of rectangles

Q: Find the area of the region lying under the graph of f(x) = quad root of x from x = 1 to x = 16.

A:

Q: 2. Use a lincar approximation to estimate /9.3.

A: In this question we have to use a linear approximation to estimate 9.3.

Q: Estimate the area under the graph of f(x)=1/x+3 over the interval [-1,2] using ten approximating…

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Q: Evaluate the integral: ſ V16x4 - 24x² + 9dx

A: Topic:- integration

Q: Why are special methods, such as l’Hôpital’s Rule, needed to evaluate indeterminate forms (as…

A: l’Hôpital’s Rule are needed to evaluate indeterminate forms

Q: The area enclosed by |3z+4y| |4r-3y| + = 3 is (where [.] denotes the greatest integer function)

A: Given: An equation 3x+4y5+4x-3y5=3. where . is the greatest integer function. To find: Area enclosed…

Q: Integrate Intergrate 21x/ with recpect to X mtegrate X- 28 with respect to X

A:

Q: Find the average value of f(x) = 9-x2 on [-3,3].

A: Given :   f(x) = 9 - x2 on -3, 3   To find :             The average value of f(x) = 9 - x2 on -3, 3…

Q: Determine the area to the left of g(y) = 3-y2 and to the right of x = -1

A: Area

Q: Find the area of the region bounded by 2-2 8-x X= 8 3.

A: We need to find the area bounded by given curvey=2+x-2 and y=8-x3 and x=8

Q: What would be an example of a function that is not integrable on [2, 10] and why is it not…

A: Consider a function: y=1x-2……1

Q: Find integral fraction (numerator) y dy / (denominator) square root of (y+2) using the substitution…

A: Let's find given integration by using given substitution.

Q: Find daivative using Ab intiative Methed Of the function 3. |

A: Let the given function be y -y = 3x3+5x2-2x-12Differentiating with respect to x -dydx =…

Q: Estimate the area under the graph of f(x) = x² + 3x +1 over the interval [3, 5] using five…

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Q: Estimate the area between the graph of F(x) = 10x2 - 7 from x = 1 to x = 7 using three rectangles…

A: We have to find the area using left end sum .

Q: find integral  sqrt ( x2 - 9 )/ x  3dx

A: We have to evaluate integral of    x2-9x3

Q: Estimate the area between the x-axis and the graph of f(x) = 9- x over the interval -2, 1] by using…

A: To find:- Estimate area between the x Axis and graph of f(x) = 9-x2 ove  interval [-2, 1] using…

Q: Find the area between the graphs of y=8x-x+7 and y 3x -x+ 12

A: The given problem is to find the area between the given graphs. Given functions y=8x2-x+7 and…

Q: Evaluate the integral 2x 4)

A: ∫1e2x-452dx=∫1ex2-452dxSubstitute…

Q: Evaluate the integral. 9x2 - 100x - 100 dr - x3 - 100x NOTE: Fnter the er amoa on

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Q: .4 25+4x10

A:

Q: Estimate the area under the graph f(x) = x2 between x = 0 and x = 2 using left sum with two…

A:

Q: Differentiate the Maclaurin polynomial of degree 4 for f(x) = ex . Describe the relationship between…

A: Maclaurin polynomial of degree 4 is P4x=f0+f'0x+f''02!x2+f'''03!x3+f404!x4.

Q: Find the number of positive integers less than 1000 that can be expressed as the difference of two…

A: Find the number of positive integers less than 1000 that can be expressed as the difference of two…

Q: x+5 9 – (x – 3)²

A: Given: I=∫x+59-x-32dx    ....(1)   We know the trigonometric identities; (1). sin2x+cos2x=1 (2).…

Q: • Draw a left endpoint rectangle approximation of the area with n = 8. • How do Ax and the change? •…

A: To draw: A left endpoint rectangle approximation of the area under fx=x2-2 and above the x-axis over…

Q: f(x) = 3 + 2x2 from x = −1 to

A: Given: f(x)=3+2x2 from -1, 2

Q: estimate the area under the graph of f(x)=x^2-3x-4 from x=5 to x=13 using four rectangles and…

A:

Q: Find the average value of f(x) = 9-x2 on [ -3,3].

A: Average value of a function f(x) on [a, b] is, f=1b-a∫abfxdx

Q: 2 + 5x6

A: This question is based on indefinite integral. General form, Integral of xn  is x(n+1)/(n+1)  As for…

Q: 2Evaluate the integral sing Integration by parts. Sx22dx Kuse symbolic notation and fractions where…

A: The given integral is: I=∫x23xdx From the rule of integration of parts, ∫udv=uv-∫vdu

Q: 3. Evaluate the improper integras: -0.5x +5+5 (a)

A: Part(a) Given:  Evaluate the improper integral.

Q: Express x8 - x as a product of irreducibles over Z2. Please be clear, correct and legible. Thank…

A:

Q: Approximate the area under the graph of f(x) = 0.7x3+7x2-0.7x-7 over the interval [ -7,-2 ] using 5…

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Q: Use the midpoint rule with 4 rectangles to approximate the area under f(x)=x2 over [2,4]. Give your…

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Q: The area of the region bounded by the function f(x) = + 3, lines x = −2, x = 2 and the x — axis is…

A:

Q: Write a definite intergral that represents the area of the shaded region and compute the intergral…

A: Given figure

Q: Estimate the area under the graph f(x) = x2 between x = 0 and x = 4 using right sum with two…

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Q: can you please find the area of the left of 2.3451 for z score....

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Q: find integral of 8xsin(4x2)

A:

Q: How to solve J5xt3dx ustrg=5x+3 for integuation

A: To integrate

Q: 2x+5 교-4x+6

A:

Q: find the area between y=2x2+9x-5 and y=-X2+6x+1 for x in (-2,2)

A: The given curves are,

Q: Estimate the area under the graph of f(x) = 7 + 4x^2 from x = -1 to x = 2 using three rectangles and…

A: Estimate the area under the graph of f(x) = 7 + 4x^2 from x = -1 to x = 2 using three rectangles and…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.