2x dx ∞ (x²+5)3 Evaluate the integrals that converge Identify the conic write in standard form and graph it: 16x² + 4v² – 64x – 24y + 36 = 0. -

Q: Find the derivative of the following using General Rule. 7) y = vt3 8) f(x) = 6 + 5 1 9) y =-+ 2 x3…

A: We have to find derivative of Given function.

Q: Sove the following continnity queshans below Let f(x.y) = 2xy? f (xiy) = (0,0) nd Let glan)= f fary)…

A: here we use the simultaneous limit definition and arbitrary path choosing that passes through the…

Q: SEATWORK Solve two problems; one problem from #1 and one problem from #2. Submit clear and upright…

A: A→=-1, 2, 3A→=1+4+9 =14B→=4, -3, 1B→=16+9+1 =26a)=A→B→ -B→A→=14(4, -3, 1) -26 -1, 2,…

Q: SOLVE the following DIFFERENTIAL EQUATIONS using appropriate method. 1. (3x'+ 2y)dx + 2xydy=0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

Q: Find the solution set of the inequality 5x2 – 2x + 12 < 6x² – 3x – 18. - Select one: а. [—5, 6] b.…

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Q: 33. y" + y' + 2y = 0, y(0) = y'(0) = 0 ||

A: Find your answer below

Q: 5. Let f and g be the functions R →R given by 5- 3z if z<1 5-2r - if z1 f(z) = and g(z) - 6-2.…

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Q: Q1) Find 2/3 dx a) Jas x*/9x² – 1 V2/3

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: What's the difference between average velocity and instantaneous velocity?

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Q: y =-x (b) Use it to project the vector v =

A: Given

Q: Use separation of variable or homogeneous equation to get tye general solution for each differential…

A: A detailed solution is given below

Q: Consider the function f(x) = 12x + 75x 120x + 3. f(x) has inflection points at (reading from left to…

A: The given function is: f(x)=12x5+75x4-120x3+3 Now, the derivatives of the functions are:…

Q: Consider the differential equation y' + y² = t*e*. Which of the terms in the differential equation…

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Q: 1. * Sx² sin 2x dx -x²cos2x ¸ x sin 2x , cos 2x +C 8. –x²cos2x x sin 2x , cos 2x + C A 2 2 B…

A: To Find : ∫x2sin(2x)dx

Q: If f(x, y) = In(x – 2xy) then fyx (7,7) = 0. Select one: O True O False

A: We can answer the question as below.

Q: Solve. 2x 20 x-6 The solution set is (Type your answer in interval notation. Use integers or…

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Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3, -2, 1, 5} }…

A: We can find the range and graph the polynomial as below.

Q: A. r(2000) B. r(2000) – r(1991) r2000 C. S1901 r(t)dt r(2000)–r(1991) D. 2000–1991 2000 E. S1991…

A: We have to match the expressions.

Q: A metal storage tank with fixed volume V0 = 360π m^3 is to be constructed in the shape of a right…

A: To find: The dimensions will require the least amount of metal. Given information: A metal storage…

Q: 2. sin 4x da =

A: Given query is to find the integral of the expression.

Q: x arctan xdx

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Q: = सितो 11

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Q: 4. Find the total differential of z = In(x + y), x= w, y = w². By how much will z change if w…

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Q: use implicit differentiation to find y’ at (-2,0) for 2x^4+e^2xy=33

A: follow next step

Q: A wire of length L- 100cm is divided into two parts. One forms a circle and the other forms a…

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Q: Find the gradient of the function at the given point. In(x2 – y) - 3, (3, 8) Z = | Vz(3, 8) =

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Q: Given the points A(-1, 2, 0), B(1, 0, 3) and C(1, 0, 2), find AB • AC x BC.

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Q: Consider the function f(x) = 2x + 18x? – 42x + 9, - 7< x < 2. This function has an absolute minimum…

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Q: (ii) Using the result of the derivative above and the fact that integration is the antiderivative…

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Q: Question 1: 2nd Order ODE, Homogenous. Find the general solution, and the values of the given…

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Q: 3) dx 0. a) True b) False

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: 2. A spherical snowball melts at a rate of 367T in /sec. At what rate is the radius of the snowball…

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Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

A: Given query is to find a cost fo production of 620 cards.

Q: Evaluate the following limit: 4x2 – 4y? tan(4x4 + 4y4) 8x4 + 8y* - lim (2,y)→(0,0) 1 2 4 The limit…

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Q: Let f(x) = – 7 cos(cos æ) %3| f'(x) =

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Q: The volume V of a nght circular cylinder of radius r and height h is V= 7rh. (a) How is related to…

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Q: Graph each polar equation given below. (a) r sine = -3 (b) r=5 Part (a) 21 Part (b) 21 e to 十+* e to…

A: Given: a) rsinθ=-3b)r=5

Q: 1. Determine the convergence or Divergence of Sequence with given nth term. If the sequence…

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Q: Suppose that it is given to you that f′(x)=(x+5)(10−x)(15−x) 1.The first inflection point (from the…

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Q: SEATWORK Solve two problems; one problem from #1 and one problem from #2. Submit clear and upright…

A: Since you have posted multiple questions i can do first question with first three subparts as per…

Q: sin° (3x) cos* (3x)dx 4 COS

A:

Q: Use the quotient rule to find the derivative of 8e" + 4 - 9x7 + 9x° Use e^x for e". You do not need…

A: We will find the derivative.

Q: Which one is one of the critical points of the function f(x, y) = 2x² + 2y + 8x – 4y + 11? Select…

A: for critical points, partial derivative should equal to 0.

Q: 2. g'-yso ylo)=2 gilo): -2 y'Co)= y'(0)= -2 : -2

A: Given: y''-y=0, y0=2, y'0=-2 So, we can also write as: D2-1y=0   The auxiliary equation is: m2-1=0

Q: 7 sin x Let f(x) 2 sin x + 6 cos x Then f'(x) The equation of the tangent line to y = f(x) at a =…

A: Given problem:- f(x) =7 sin(x)/(2 sin(x) +6 cos(x))  Find:- f'(x) and equation of tangent line at…

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A: As we know that; The expression for the volume of the revolution of the function y=fx from x=a to…

Q: Evaluate the following limit: lim (7,y)→(0,0) 5æ6 + 6 sin°(y) 14x6 + y6 3 4 11 15 2 3 The limit does…

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Q: 2x+5 (d)Using the method of Partial fractions find f dx x2-8x+7

A: Let's find.

Q: If z = ln √(u2 + v2 + w2), find ∂z/∂u, ∂z/∂v, and ∂z/∂w. Also, please explain the method used to…

A: Topic = Derivative

Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (4,…

A: