[(x²-y²)²] x+y -2 LEK 1J0 du dt

Q: While buying a new car, David made a d payment of $1,100 and agreed to make end payments of $230 for…

A: Please refer to the image below

Q: ¹₂1 + 2y dy dx x2

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Q: Evaluate: ₁³(x + y)³] dz dy dx S²³₁

A: A detailed solution is given below.

Q: Determine the values of r for which the differential equation ty"-5ty' + 5y = 0 has solutions of the…

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Q: x² Define R as the region bounded by the graphs of f(x) = 2√x and g(x) = over the interval [0, 1].…

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Q: (1 + y²)dx + (x²y + y + 2xy)dy = 0 Ox+2y² (1+x)² = c O 2x+y2(1+y)2= O 2x+y?(1+x)2=c y² x)² Ox+y²…

A: Solving by seperation of variables

Q: Find the area of the region bounded by 2x and the y-axis using the horizontal strip. 4 y²+1

A: Here we have to find the area of the region bounded by 2x=4y2+1

Q: Evaluate the following integrals 2x ·S- -dx 2 5+2x+x

A: We know that ∫duu = lnu+C ∫1v2+a2dv = 1a·tan-1va+C

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Q: 4. The bat population in a certain Midwestern county was 340,000 in 2021, and the observed doubling…

A: As per bartleby guidelines we only give first three subpart question answers. Let's solve given  bat…

Q: 2. S 2x 2 5+2x+x -dx

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Q: Consider the function f(x)=2x^2 +(−4)x What is the value of the constant of integration such that…

A: Topic:- application of integration

Q: Find the area of the region bounded by the curves 1 y= (x+6)²¹ y = 4 and the x-axis using vertical…

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Q: 2. Find the area of the region bounded by x=y², x=-1, y = 2 and y = -1.

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Q: For several weeks, MMDA has been recording the speed of freeway traffic in EDSA. The data suggest…

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Q: Question 3: Show that 5xy² lim (x,y) (0,0) x² + y² does not exist.

A: Solve the following

Q: If g is said to be the antiderivative of the function f then O a. Inconclusive O b. O c. O d. g'(x)…

A: Here we have to choose the correct option.

Q: 6. S t √1+2t dt

A: The given integral,    ∫t1+2t4dt

Q: Use a Double-or Half-Angle Formula to solve the equation in the interval [0, 2r). (Enter your…

A:

Q: Evaluate the limit using L'Hôpital's Rule. 8x³ lim x-0 sin(x) - x (Use symbols and fractions where…

A: we want to determine the value of limit limx→0 8x3sinx -x

Q: The following will make the limit of a certain rational function of a as z approaches negative…

A: As we know tha rational function is of the form  P(x)/Q(x)

Q: Perform the following integration. 1. (sinhr) (coth² x + csch³ x) dx sec³ x tan x 2. S dx √2 + sec x…

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Q: 5x -2 3 Evaluate: fffdz dy dx 2 2

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Q: IV. A small business determined that the price-demand and cost functions for producing and selling x…

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Q: Evaluate the definite integral below. (Enter an exact answer.) Provide your answer below: S²4e³x-2…

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Q: A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t² -…

A: Please refer to the image below

Q: Evaluate the integral: S/2 sin(4t - u) du dt

A: The integration of the double integral is Sin(4t-u), u from 0 to t, t from pi/2 to pi.

Q: 63. Use series to evaluate : Limit 1ND -cost 2

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Q: mydx = nxdy

A: answer is in next step . please give a like !!!

Q: II. Use the difference table to predict the next term in the sequence. Show your complete formula.…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Question 8 Determinethe equation of the tangent line to the curve, y = 3x4-2x-1 4-x² , at x=1.

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Q: ng a trig substitation, the integral (A) / sec(0) do dr can be transformed into one of the

A: Please refer to the image below

Q: What is the magnitude of a projection p = (7,3) on a = (-4, 2)

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Q: 4. x-1 x² + 5x+8 Ja da

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Q: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

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Q: Find the area of the region pictured below that is bounded by the functions f(x) = x² - 7x + 12 and…

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Q: For each part below, write an inequality to represent the given statement. Then graph the inequality…

A: We can answer the answer as below.

Q: Evaluate the following limits. 1. lim 1 cosh x x+0+ ln(x² + 1) 2. lim (tanx) (sin x-1) x+7+

A: Let's solve for given limit.

Q: -2 S₁² S₁² (²x²y^² + 2 (2x²y-² + 2y) dy dx 1 1

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Q: it possible to get the area = 3x and y = x³, usi a. vertical strips b. horizontal strips

A: We have to find the area of the given function according to the given information

Q: 2. lim (x - Inx)* x→0+

A: Given problem:- Evalution limx→0+x-ln(x)x

Q: 1. Evaluate the integral: 2³ cos (dt du

A: Given

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given that  The Region bounded by the curves  y = 4 + sec(x) , y = 6 ,  -π3≤x≤π3  about y = 4…

Q: What is the lim 700 (n-1)-1 + (n − 2) x^²-2 +...+ OB. undefined O.D. 22-1 ne2+7

A: Here, to evaluate: limx→∞xn+xn-1+xn-2+...+x(n-1)xn-1+(n-2)xn-2+...+x

Q: Find the area bounded by y = sin √x and y = 0 on the interval [0, π^2].

A: The curves are y=sinx, y=0 on the interval 0, π2

Q: f(x)= 2x+5 3x-2 -19 (3x-2) f(x)=-

A: SOLUTION-

Q: v (2uv²-3) du + (3u²v² − 3 + 4v)dv = 0 Ov(u²v² +3u + 2v) = c Ov(u²v² - 3u- 2v) = c Ov(u²v² - 3u+ 2v)…

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Q: Find the area of the region bounded by x = the horizontal strip. y²+1 and the y-axis using

A: Area between x=11+y2, x=0

Q: 10. Consider the function f(x)=2x^2 +(0.4)x If the constant of integration is C=7.2, what is the…

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Q: The equation of a tangent line at a point (x₁, f (x₁)) where limh→0 f(x₁+h)-f(x₁) h = +∞ is x = x1.…

A: