Verify that af ?x || 224 ?х ду = 224 ду дх - for f(x, y) = 7x®y³ – 5x5y4.

Q: 1) Solve the initial value problem. Show All Your Work. dy 2x+ sec? У(0) %3 — 5. | dx 2y

A: Let's solve diffrential equation.

Q: Let u = (– 2, 4, 0) and v = (– 1,0, – 3). Find the angle 0 <0 < 180° (in degrees) between u and v.…

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Q: Q2:Find the Laplace of the following functions: 1- cos(2t) 1. f(t)

A: We will find the Laplace Transform

Q: A company producing stereos can produce a stereo for $117 on top of the company's annual fixed cost…

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Q: (メ+ッ)dx + (x4ッ)dy =0 dx dy x yz x?y

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Q: 6. Let A = {x € R | x² = 64 }. Then, |P(A)| = 16. 7. Let D = {x € Q|x² = 5 }. Then, D is singleton.…

A: This is a problem related to set theory. Based on the general formula and concept we will answer the…

Q: Use calculus to sketch the graph of the given function. (a) f(x) = 3xª – 4x³ %3D (b) f(x) = 3xª –…

A: We have to sketch the graph of the given function.     According to our guidelines we can solve only…

Q: Velocity 3.5 3 2.5 2 1.5 1 0.5 1 2 3 5 6 Time (s) Velocity (m/s) 4.

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Q: x² cotx³ cscx³ dx =

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Q: polar of a point are giv the pon R/2 R/2 6f 4 4 2 2 -6 -2 4 6 -2 -4 R/2 R/2 6. 4 4 -6 -4 2 -6 -2…

A: Topic = Geometry

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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Q: 1. Get the first derivative f': 2. Find the factors: 3. Find the critical numbers: 4. Get the second…

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Q: Let f be the R 2 − R function defined by f (x, y) = ln xy and let r be the R − R 2 function defined…

A: Given

Q: Test the sefes for convergence or diver 00 n! 145- Use the Select v and evaluate: lim = (Note: Use…

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Q: Problem 3: Evaluate the integral using the composite Simpson's 1/3 rule with the indicated number of…

A: See this solution in below

Q: 2x+1 if x < 2 Let f(x) = x²-1 if x ≥2 Determine the one-sided limit lim f(x). x 2+

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Q: Find the area under the curve using intervals of 1 unit (X) each Integral - Area Under the Curve…

A: Reimann sum:Take the left point of sub-interval:∫16f(x) dx =∑i=1N f(xi*) ∆x∆x=1∫16f(x)…

Q: dy for each of the following: dx 1. Find d) y = eF +x*. g) y = x2-5 1 h) y = log3

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Q: steel

A: Please refer to the image below

Q: d?y Consider the second-order differential equation dt? + 49y = 2 sin(8t). Find the Particular…

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Q: 2x+1 if x 2 Determine the one-sided limit lim f(x). x-2- 2

A: The given function is:

Q: sec(2) tan(z) – 1 dz 1 dz

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Q: polar com 2) (3, 240°) 90° 120° 60° 150° 30° 0- 180° 2 3. 330° 210° 300° 240° 270°

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Q: Simplify the expression In c. * a. d. 3x Iní3x)

A: topic :- simplification

Q: Find v-w, if v = - 4i + 5j and w = 6i - 4j. |v - w|| = (Type an exact answer, using radicals as…

A: We can answer both the question as below

Q: The matrix given is in reduced echelon form: 1  0  5  -2 0  1  4   1 0  0  0   0  Write the…

A: To write the matrix equations.

Q: 1. 12a – 92² + 2 dæ

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Q: Find an equation of the ellipse with foci at (-4, 3) and (-4, –9) and whose major axis has length…

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Q: The function f(x) = −2x³+3x²+36x has two critical points, c₁ and c₂. Find them and use the second…

A: We need to find and classify critical points.

Q: f(X) ex finathe cn'nical numbers of f O de remine whethereacn is a1ocaimaximum, 1ocalminiumum…

A: Critical points

Q: Find dyldx* y= : dy dx x+ xy In(x) y dy dx x + xy In(x) O Option 2 Option 4 dy _ x – xy In(x) dy y…

A: Topic = Derivative As per guidelines , At a time only one question can be answered. please repost…

Q: Learning Task 5: Analyze the given condition and calculate the sum using the properties of sigma…

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Q: The divergence test applied to the series 4k (7k + 9)* tells us that the series converges.

A: Given: Here,              ak=4k(7k+9)3≈4k73k3=473k2=bk(say) Now,                 limk→∞ akbk=limk→∞…

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: The height(cm) of the candle is a linear function of the amount of time (in hours) it has been…

Q: need

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Q: 1. Find dy for each of the following: dx 2-x2 a) y= In² 1+x y = Vx+e* c) y = 52r+3

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Q: Find the area of the surface generated by revolving the curve about each given axis. x= 5t, y- 9t,…

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Q: Suppose f(x, y) = x2 + y? where x = r cos 0 and y = r sin 0. Find and whenr = 1, 6 -: = 1, 0 =

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Q: The rate of change of the concentration of a bacteria culture is given by R(t) =80/ln2 (2)t, where t…

A: Given

Q: c) (fog)(x). Simplify the function. d) The domain of (fog)(x). e) Evaluate and simplify f(x)-h(x).

A: Given query is to find the domain of indicated composite function.

Q: Let f(t) = 3t4 - 6t+ 3et. Then f'(t) =

A: To find f'(t)

Q: of Find - for the following function. and 5xy f(x.y) = e In (3y)

A: Given: Now,        ∂ ∂ xe5xyln3yTreat y as a constant=ln3y∂ ∂ xe5xy=e5xy∂ ∂ x5xy=ln3ye5xy· 5y

Q: 8. Which of the following could be differentiated by using implicit rule only? x² + y? = 9 A) B)…

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Q: Suppose you go to a company that pays $0.04 for the first day, $0.08 for the second day, $0.16 for…

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Q: 1) Use Green's theorem to evaluate o y'dx-x°dy where C is the curve shown: r2 where ri=3 and r2=5…

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Q: A standard cell has an emf "E" of 1.2 volts. If the resistance "R" of the circuit is increasing at…

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Q: Shen is driving to Phoenix. Suppose that the distance to his destination (in miles) is a linear…

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

Q: 7. (a) y(4) when y= 2ln 30 (b) y() ; In 2t when y = 3

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Q: 6. What can you conclude when dy is changing dx from positive to negative? A) fis at a local minimum…

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Q: Suppose that you have the utility function: u (x) = Vx u" (x) 43 %3D Find : u' (x) 1 2x 2x Option 2…

A: I have stated the used formulas in the solution