Evaluate the following integral: 2² ²₂ 2² x+yz dædydz

Q: Use centered difference approximations to estimate the first and second derivatives of y = ex at x =…

A: The central difference for first and second derivative is calculated respectively,

Q: How would you define f(2) in order to make f continuous at 2? limx→2 x^3-8/x^2-4 show ALL of your…

A: Let's solve limit problem.

Q: Find the total area between the graph of ​f(x)=x^2−4 and the​ x-axis from x=0 to x=10.   The total…

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Q: Refer to the functions fand g and evaluate the function for the given value of x. Select "Undefined"…

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Q: 6. The decimal expansion of 135/ 225432 will terminate after how many decimals?

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Q: Choose the correct option. a) Which of the following is not a perfect cube? i. 512 iii. 216 ii.…

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Q: 2.) dy 1) = x - (²2²) y = x ² ex ; x = 1, y = 0 dx P(x) = = = = Q(x) = x² ex X Standard form: dy dx…

A: Given differential equation dydx-2x y=x2 ex  ; x=1 y=0

Q: We have two curves that limit the type Il region, on the right is the graph of the line x = y + 2…

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Q: R is the region bounded by the functions f(x) = 3 − 2cos(x) and g(x) = sin(x). Find the area of the…

A: A detailed solution is given below.

Q: Given the equation of the curve y = 0.1(1600-x²). Find the area bounded by the curve and the x-axis.…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Find equation of langent line y=-6-2x-3x² at (1,-11)

A: To find the tangent line.

Q: 3. 4. 5. π X dx sin() co₂ (:) ª 2x - 1 4x1 dx 8. 9. (x-1) √x dx _2_2x dx 10. S√₁-2² a x dx

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Q: The radius of a circle is increased from 2cm to 2.03cm find approximately increase in area

A: Solving using differentiation

Q: Find the Wronskian of the functions f(t) = e²t and g(t) = e³t. NOTE: Answer must be simplified. W[f,…

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Q: In the year​ 2000, the population of a small city was 49,000. The population grows at a rate of…

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Q: 1. C (5,0) =( 5) = 2. C (4,4)=() = 3. C (6,2)=() = Evaluate the following

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Q: Find the following limit or state that it does not exist. lim X-2 V x-2 2x+5-3

A: Solution of given question is written in below steps.

Q: 3. Solve Trigonometric Equation (a) 1+ sin 8 = 2 cos²0 (b) cos 0 + 1 = sin 0,0 € [0,2π) (c) √2 sin…

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Q: 5. Solve by using power series: y' = xy. Find the recurrence relation and compute the first 33…

A: To solve using power series.

Q: identify open interval on which the function is increasing or decreasing. f(x)=sinx+2, 0<x<2pi

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Q: Temperature during an illness. The temperature of a person during an intestinal illness is given by…

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Q: Find the Wronskian of the functions f(t) = 6et sin(t) and g(t) = et cos(t). NOTE: Your answer must…

A: Here is the solution:

Q: 6. Which substitution can work to compute for the indefinite integral fx√√x + 5dx? A. u=x C. u=x+5…

A: we use substitution method to  find the value of integral

Q: b) [F(x) then find f(x). If 3 In(x)/ sin(3x) − 3e³ + x² + 3. - f(x)dx= 3 ln([x]) + 3x + C

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Q: Use the rules for sums of powers of integers to compute the sum. 18 Σ; j=5

A: We can find the answer in the following steps.

Q: 50 40- 30 20 10- 10 20 30 40 50 60 Cassidy is a lifeguard and spots a drowning child 60 meters along…

A: Given the location of child is 60 meters along the shore line and 50 meters from the shore. The…

Q: 2 -ƒ_(x−1) -dx √x

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Q: Simplify:- 16--// 5 2

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Q: 14. Find the volume of the tank shown below. 1.10 m | 1.48 m 4.25 m

A: Concept: Area of the segment: A Sector is made up of an Arc and Two Circle Radii. Together, these…

Q: A projectile is launched straight up in the air. Its height​ (in feet) t seconds after launch is…

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Q: 2+3(4÷2)

A: Solving using BoDMAS rule

Q: Find the mass of the portion of a sphere in the first octant with radius 1 and density function…

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Q: Answer of each of the question about the graph

A: To find out the following limits.

Q: Evaluate the integrals: 1. 2. -2 dx 0 8+2x² x+3 2x3-8x S - dx

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Q: Exercises: I 2, (3-x²) dx 3 (5+3x-x²) dx

A: The objective of the question is determine the Riemann sum and evaluate the definite integral.

Q: Find the specific function values f(x, y) = x^2 + xy^3 a)f(2, 3) b)f(−3, −2)

A: Find the specific function values f(x, y) = x^2 + xy^3 a)f(2, 3) b)f(−3, −2)

Q: Triple Integical пун Evaluate SS * cos(y) dz dx dy.

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Evaluate (fog)(x) and write the domain in interval notation. Write the answer in the intervals as an…

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Q: Part 1 of 7 (h+k) (1) is. Part 2 of 7 (k-h) (4) is. 00 00 X X Undefined Undefined S

A: To find out the following values.

Q: Solve the initial value problem O y = 7cost + sint O y = e-cost + 7e-¹ sint ○ y = e¹¹ +7e="t ○ y =…

A: to solve the initial value problem.

Q: What does the index value of 78.8 in 1990 mean? Explain your reasoning. Year 1960 1970 1980 1990…

A: Ratio of the gas price index in 1990 to the gas price index in 2000 is 0.788.

Q: г 3x +4 x3их н dx

A: We can find and explain the answer with proper reason as below.

Q: Let f be the function that contains the point (-1,8) and satisfies the dy 10 dx x²+1 (a) Write the…

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Q: d= d = but if (x, y, z) lies on the plane x + 2y + z = 9, then z = -x-2y+9 x-1 x-1 X = We can…

A: Here we have to find the shortest distance.

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x,y,z) = x² + y²…

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Q: 7. Tammy is golfing. She wants to drive her ball from the tee to the hole that lies due east.…

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Q: True or False: We have Select one: O True O False 0 8 √√xdx = 12.

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Q: 5. (t²-1)(4+3t)dt

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: X г ht хе зихн X

A: The given integral is ∫3x2+4x3+4x+1dx

Q: You are in the process of solving x³y² - 7x³y = cos (7x), x > 0 which of the following would be…

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