e If F(x) = | e dt, find F(1) and F'(x). ez

Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral s…

A: Arc length

Q: 9. (2xy – sec?x)dx + (x² + 2y)dy = 0 10. (x + 3x³ sin y)dx + (x* cos y)dy = 0

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Q: Find the volume of liquid needed to filla sphere of radius R to height R y V

A: Given that  Radius of sphere = R       and Find volume of liquid  at height at R/2.

Q: Find the interval of convergence for the follov ing power series E(coth n)x" n=1

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Q: (B) Define the integral domain ring. Is the product of integral domain rings also an integr domain?

A: Integral domain: Integral domain is nontrivial ring with unity, containing no divisor of zero.

Q: Find an equation of the tangent line to the graph of x* + 3xy? + y = 15 at the point (1, 2).

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Q: The temperature at which water starts to boil (its boiling point) is linearly related to the…

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Q: 1 erivative of x²+2

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Q: Find the Indeftnite Integral and check the result by differentiation. (5x) Step 1 To obtaln the…

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Q: 16x²+9y²=144, (first quadrant area)

A: ∫a2-x2 dx = 12xa2-x2 +a22 sin-1xa+C

Q: An example of cissoid of Diocles is r = sin 0 tan 0 whose graph is below. Show this curve has the…

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Q: The equation r(t) = (t + 6) i + (t - 8) j+ (2t) k is the position of a particle in space at time t.…

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Q: 2) Use the Chain Rule to express the second derivative of f •g in terms of the first and second…

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Q: x/2 dy 2. -y=e

A: According to the company rule we can answer only first question and rest can be reposted.

Q: near First – Order Differential Equation (Integrating Factor) 1 dy x dx 2y 5. Find the general…

A: Topic:- differential equations

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: A chemical factory tank stores an amount of liquid. After it has started to drain, it has a given…

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Q: Find the area of the region between the curves y = æ and y = Va. Area between curves

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Q: Find the vo lume oF the solid OF revolution when the regiON bounded by y = x +1, the solid X-axis,…

A: Given problem:- Find the volume of the solid of revolution when the region bounded by y = x + 1 the…

Q: 11. (e* sin y – 3x²)dx + ( e* cos y+ |dy = 0 12. (2x + 1+x?y? ) dx +( -29) dy = 4 - 29) dy = 0…

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Q: 4. Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D

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Q: cos'x dy 3 Cos Xよx (3x+2) %3D 子ー

A: Note :- This are multiple questions and according to our company guideline we can do maximum 1…

Q: kt Convert the equation f(t) = 310(1.13)' to the form f(t) =

A: answer is in next step

Q: Sketch the region enclosed by 2y = 5/a, y = 4, and 2y + 2æ = 7. Decide whether to integrate with…

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Q: 8. Using the Mean Value Theorem and Rolle's Theorem, show that3 + x – 1 =0 has exactly one real…

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Q: 6. Use Newton's method to find the third approximation to the root of: x* + 2x – 4 = 0. Use x,= 1 as…

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Q: (sec2 x + csc2 x)cos2 x dx

A: Given: I=∫sec2x+csc2xcos2xdx   Use the trigonometric identity; 1). sinx=1cscx 2). cosx=1secx And…

Q: 4. A ball rolls horizontally off a cliff at 10 m/s. It takes 20 seconds for it to hit the ground.…

A: height = (1/2)gt2 +v0t  but here v0 = 0 for initial  height = (1/2)gt2 height = (1/2)(9.8)(20)2…

Q: 1-cos 4x Find the derivative of y sin 4x

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Q: FIND THE DIVERGENCE AND CURL OF U = i (x 2+ yz)+j Cy?+Zx) t K (z?+xy] %3D

A: Given :u=i x2+yz+jy2+zx+kz2+xy.We need to find the divergence and curl of u.

Q: 3. Solve the initial value problem of y(-1) = 0 dx x+3

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: ,11,,11 x"yll The expression log can be written in the form 24 A log(x) + Blog(y) + C log(z) where A…

A: logmn=log(m)-log(n) log(m.n) =log(m)+log(n) logmn =n log(m)

Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

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Q: Please Attach the Venn Diagram of the given problem including the complete solutions to answer the…

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Q: Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. If the limit…

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Q: 2 2(3)' Find: i=1

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Q: Calculate the area of the puddle when 10 liters of water is spilled on a flat floor for cases of 0p…

A: Water molecule have an enormous amount of inter-molecular forces.  10 liters of water would spread…

Q: he velocity vector? Di+O i+O k

A: Topic:- application of derivatives

Q: The Laplace transform of ,-2r ,3(1-t) dt e is Select one: 1 (s + 3)(s – 2) 1 (s + 3)(s + 2) 1 (s –…

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Q: 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in the form of…

A: Given problem:- 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in…

Q: Given (x+ y}* – ( x - v}² = x* + y^, find dy/dx using implicit differentiation. A. - 2- E. None of…

A: Given x+y2-x-y2 =x4+y4. We have to find dydx  using implicit differentiation.

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = 1 x intercepts…

A: Solve the following

Q: Use implicit differentiation to find the point in the first quadrant on the ellipse 8x2 + 4y? slope…

A: Question- Use implicit differentiation to find the point in the first quadrant on the ellipse 8x² +…

Q: The volume of the solid obtained by rotating the region enclosed by y = eSz + 2, y = 0, T = 0, I=0.4…

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Q: tan z If f(x) = then f'(x) is ? z² – 1) soc? z (z² – 1)° O (2? - 1) sec²(x) æ – 2 (tan(æ)) 2z tan z…

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Q: Find the vertical and horizontal asymptotes. (Enter your answers as comma-separated lists of…

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Q: the limit of each transcendental function below using analytical method. Answers without olutions…

A: Limit

Q: If f(x) = 2 g(x) find g'x) in terms of f'(x). O g(x) = f(x)/4 O g(x) = f(x)/2 O 'x) = f(x) - 2 O…

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Q: A particle moves with position function s = t4 - 4t3 - 8t2 + 25t, t2 0 (a) At what time does the…

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Q: Find an equation for the plane through the points (3, 4, 33), (2,1 -2), (0, 1, –1). The plane is

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