x*dx Using trigonometric substitution, (1+x²) 3 tan ode A sece sin ode B coso tan ode sec20 sec 9d0 D tan20 E) None

Q: Find the first four terms of the binomial series for the given function. -2 1+ 10 OA 1-맛+ 100 250 1…

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Q: The vat shown in the accompanying figure contains water to a depth of 1.5 m. Find the work required…

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Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = e10ti + e-*j K(t) =

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Q: Find the polar coordinates, 0s0< 2n and rs0, of the following points given in Cartesian coordinates.…

A: A)(3,3)r=9+9r=32θ=tan-1(33)=π4tail end of (3, 3) lies in the third quadrant.The polar coordinates of…

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Q: 7 Does the series 2 converge or diverge? n= 1 Choose the correct answer below. O A. The series…

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Q: Find the Jacobian d(x, y) / d(u, v) for the indicated change of variables. u- v), y =u + v) X = -

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Q: Use a graph of g to estimate lim g(x) or to show that the limit does not exist. Evaluate g(x) near x…

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Q: 25. The graph of y = a* +b is shown below. Find the EXACT values of a and b. 6- (2,5) 4- 2- y = a*…

A: This question is based on substitution of points.

Q: Let f a) Simplity the expression tlath), f() XRt 50C43. Using f loc)

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Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

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Q: A candy box is made from a piece of cardboard that measures 31 by 17 inches. Squares of equal size…

A: let the cut out square side be "x"length of cardboard is 31 inBreadth of cardboard is 17 inAfter…

Q: Find the radius of cunvergen le and the interva) of convergence Of the Dower series n3n

A: Use the ratio test for checking the convergence .

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Q: 4- The graph of f is given in the figure to the right. Let A(x) = | f(t) dt and evaluate A(4), A(6),…

A: Integration gives area under curve  area above x axis is positive  area under x axis is negative.

Q: Determine the following limits, using o or - o when appropriate, or state that they do not exist. x5…

A: Solve the given limit question

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A: ∑n=1∞ 2en1+e2n=2e1+e2, 2e21+e4, 2e31+e6This is not a geometric series; as there is nocommon ratio…

Q: 8 3. y2 = x and y² = 2 – x (Answer: S. U. ) 3 - -

A: Given: y2=x and y2=2-x   Now find the point of intersection between the given curves. y2=x,…

Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 13 r(t) = t²i + t'"j K(t) =

A: Find k(t).

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Q: Find for the parametric curve c(t) (t-1 – 5t, 41) at the point t = -2. dx (Use symbolic notation and…

A: Given problem:- Find dy/dt for the parametric curve c(t) = (t-1 - 5t, 4t3) at the point t = −2.

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A: Stochastic matrix: In a finite Markov chain, a stochastic matrix is a square matrix of non-negative…

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Q: nd the volume of the solid generated by

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Q: Find the volume of the solid bounded by the plane z = 10 - 5x - 8y and the coordinate planes in the…

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Q: Current Attempt in Progress Find the domain of r(t) and the value of r(to). NOTE: Round your answer…

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Q: Water is being poured at the rate of 2z m' /min into an inverted conical tank that is 12-meter deep…

A: We need to find rate of water leaking.

Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c 3 1(1-x*) ? +E E

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Q: t Attempt in Progress antity P is an exponential function of time t, such that P = 40 when t = 4 and…

A: for simplicity take P0=a Given  for t=4 , P=40 for t = 3 , P = 50

Q: Find the indefinite integral. (Use C for the constant of integration.) tan2 dx secº x

A: Solve the following

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Q: a. Use the product rule to find the derivative of the given function. b. Find the derivative by…

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Q: 21. Find af and of if f(x,4)= 3x" +2xy+ Sy , x= 4v? + Bn", and u 2v-w? Vour %3D 4= 2v-w? Vour av…

A: We have to check

Q: Describe the graph of the equation: r = 7hi – 9j + (1 + 61)k. [Choose the correct answer.] O The…

A: Given problem:- Describe the graph of the equation: r = 7ti − 9j + (1 + 6t)k.

Q: Given =16,-2,k) and V=14,-4, 0]. Determine the value(s) of k if the angle between ü and v is 60°.

A: We will find the possible values of K as shown below

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A: We have to find out the derivative

Q: 1. Find the derivative of the following. f(x)=13x* -7x²+5x²+11x+75 a.

A: Formulas:ddx(a f(x))=a ddxf(x)ddx(xn)=an xn-1ddx(a)=0;  where a is a…

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A: T(x,y,z)=200e-x2-14y2-19z2 The gradient of the temperature is: ∇T (x, y, z) = −200〈2x-x2-14y2-19z2 ,…

Q: Evaluate F. dr. Jc F(x, y) = 9xi + 6yj C: r(t) = ti + V4 - tj, -1 sts 1

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Q: 20) Find two sets f polar coordinetes, (r, o),0LOL2 IT Por the point (6,6) in recten- gular…

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Q: The general solution of the differential equation dy/dx = 12x³ is y = 4x3 + C. Select one: O True O…

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Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

A: Given problem:- Locate the critical points of the following function. Then use the Second Derivative…

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Q: Find the volume of the solid that is bounded by the surfaces z = 82 - x2 - y2, z = 0, x = 0, y = 0…

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