2.j -dx 2x2 x-1

Q: Find the area inside the oval limaçon r = 6 + sin 0.

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x2 +…

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Q: Consider the following initial-value problem. y' - y = 2 cos(2t), y(0) = 0 Find {f(t)} for f(t) = 2…

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Q: The area under one arch of y=sin(0.5x) is O 0.2 O 0.5 O 0.8 None of them

A: Given: y=sin(0.5x)

Q: Approximate the area under the curve graphed below from x=2 to x = 6 using a Left Endpoint…

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Q: 3. Pedro walks at te speed of 40 meters/min from the school to home, by taking the longer route of…

A: Pedro walks at the speed of 40m/min from the school to home,by taking longer route of 100 m to the…

Q: D) lim f(x)=| 23 E) lim → 8 f(x) = F) lim f(x)= z 2

A: D) we know that, limx→3f(x)=limx→3+f(x)=limx→3-f(x)But limx→3+f(x)=2limx→3-f(x)=-1Since…

Q: Tab Window Help ving Exponer X + -integrals-involving-exponential-and-log wolving Exponential and…

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Q: Screenshot (1603) Screenshot (1597).png Solve the given differential equation. All solutions should…

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Q: Answer true or false. F(s) = s²/(s² + 4) is not the Laplace transform of a function that is…

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Q: Evaluate dw/dt at t=9 for the function ​w(x,y)=ey−ln x​;  x=t2​, y=ln t. Options are: 1) 7 2)…

A: Given query is to find indicated derivative.

Q: e 288 Find the values of the sine, cosine, and tangent for each LA. (10. 11. 12. A 10-12, 14-22 80 m…

A: We have to find out trigonometric ratios As per guidelines we have to solve one question Please…

Q: 16 x0.67.dx

A: Formula  ∫xndx=xn+1n+1+c

Q: Answer true or false. The function f(t) = (et)10 is not of exponential order. True O False

A: Let's solve.

Q: xcsc (y/x) -y]dx + xdy=0 Prove that it is a Homogenous DE using homegeneity test (degree n) and…

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Q: enshot (1603) Solve the given differential equation. All solutions should be found. (3y² + 2xy) dx −…

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Q: ate the following integral using integration by parts. 4x sin x cos x dx u=4x sin x. Use the…

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Q: Screenshot (16 Find the solution of the given initial value problem in explicit form. 1 y' = (1 -…

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Q: Find a unit vector u in the direction opposite of v = (2,8,-3).

A: Solution ) v =  { 2 , 8 , -3 }   vector with same magnitude and opposite direction   = { -2 , -8 , 3…

Q: 21. If u = - y+z a) 0 Z z+x x+y b) 1 ди then the value of x + y + z 2 is: c) u d) None 22. The…

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Q: Find the slope of the tangent line to the polar curve r = cos 20 at 0 T 3

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Q: How long will it take for an investment of $3,000 to double in value if the interest rate is 6.5%…

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Q: Solve the differential equation y'=1+5y subject to the initial condition y(0)=1. From your solution,…

A: Here we have to solve the differential equation.

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: Evaluate the following limits. Show complete work x² - 4 X-2 X-2 a) lim b) lim (√x²+1-x) X→∞

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Q: -2 1. Ella thinks that if a function is positive over an interval, then its derivative is also…

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Q: Consider the following vector function. 1, 12², 1²) (a) Find the unit tangent and unit normal…

A: The given vector function rt=3t, 12t2, t2

Q: At what points is the following function continuous? f(x) = 3 x - 512 2 X-64 12, 7, x8, x-8 x=8 X =…

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Q: 5. Use the definition of a Maclaurin Series to express f(2) = as a Power Series. Give the 8th degree…

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Q: Question is to find all the local​ maxima, local​ minima, and saddle points of the function.…

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Q: 14. The solution of the differential equation: (D-2)³y = e2²x is k a) y = (₁ + c₂x)e²x + xe²x b) y =…

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Q: What is the gradient of f(x, y) = x² - y4 at the point (5, 2)? O 5i + 16j O -15i-16j O -6i + 13j O…

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Q: Given the equation below, find dy dx = Y dy dx - 17x² + 7x68y + y ¹⁰ = - 9 dy Now, use to find the…

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Q: Find the G.S. about xo = 0 for the following DE's 2. (1 + x²)y" + 10xy' + 20y = 0

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

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 4x + 11 between x =…

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. Image Added…

A: Given a sequence 41,72,106,1324,16120,... We need to find the value of nth term. We will check the…

Q: Let R be the solid enclosed by the surfaces z = 3x² + y² and z = 8 – x² - y². Fill in the missing…

A: To find the missing limits of integration.

Q: Find the total area of the shaded region. 1.5- 1- 0.5- 0 y x=12y³ 6 x=12y² (12,1) 12 18

A: The equation of the curves are: x = 12y3 x = 12y2 The graph of the curves is To evaluate: The area…

Q: f(x) = 2x^3 − 3x^2 − 18x − 8 Rewrite f(x) using the Division Algorithm after having found one…

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Q: dy Solve the differential equation: = A - By. Find the general solution to the dx differential…

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Q: Use implicit differentiation to find dy dx x3 + y = 15xy || dy dx

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Q: State the word that completes the following statements correctly. 1. The graph of f is increasing…

A: We can identify whether the function f is increasing or decreasing by using the sign of the first…

Q: 9 Given f(x): = =, find f'(x) using the limit definition of the derivative. x f'(x)=

A: The given function is fx=9x

Q: 7. Evaluate I = S ads, where S is the part of the plane x+y+z = a lying in the first octant.

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Q: For the function f(x) = 3x2 −x3 − 4 where −3 ≤ x ≤ 3, complete the following. 12. State the values…

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Q: 20 29t2 +42t represents the position function for a particle moving The function s(t) = along a line…

A: The given function is: s(t)=203t3-29t2+42t  where t∈0, 6 v(t)=d(s(t))dt=d203t3-29t2+42tdt=20t2…

Q: fxsinxdx O xcos(x) -In sin(x) + C ○ -xcos(x) + sin(x) + C O xcos(x) + sin(x) + C O xcos(x) - sin(x)…

A: Topic = Integration

Q: √64-² S.S. - In (x² + y² + 1) dx dy = ₁₂ dr dr de

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Q: Given f''(x)= Find f ƒ(7) = = 1 25 sin(5x) and f'(0) = 5 and f(0) = -6.

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Q: Given: f(t) = 3t4 + 6. Evaluate: F(3) Use 2 decimal places. 2.30

A: Here we have to apply laplace transform.