(*) 5

Q: 5) The senior classes at High School A and High School B planned separate trips to New York City. Th...

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Q: Find the interval of convergence n!x" (2n)! n=

A: We have to check weather the given series is convergent or divergent.

Q: Get the derivative of all the functions. 1. ?(?) = 9?^5 + 2?^4 + 3?^3 + 7?^2 + 1 2. ?(?) = 5?^2−2 ...

A: To  find the derivative with respect to x

Q: What is the equation of the normal line to the curve x +y - 6x - 2y=0 at (2,4)?

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Q: Find the derivative of the function f (x) = Vx Then use x = 8, that is to say the point (8,2) to fin...

A: We need to choose correct option.

Q: Determine convergence or divergence of the series. 3/4 2n 00 Σ 7/4 + 6 n=1 5n O Converges O Diverges

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Q: ze Sol. Consider the integral f(z) dz where flz) = ,2 taken round a closed contour z* + a C, consist...

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Q: For what value of x is the tangent line to the curve y = x^2– 6x +5 horizontal? A. -3 B. 3 C. -6 D. ...

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Q: Find dy/dx by implicit differentiation. 3x2 + 5xy - y2 = 4 dy/dx =

A: Given; 3x^2+5xy-y^2=4 dy/dx=?

Q: A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s ...

A: We are authorized to solve only one question with 3 subparts, please repost remaining parts Motion o...

Q: For this problem, using integration by parts, you will not complete the problem. You are being asked...

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Q: %3D

A: We are given: u=ln 1-t21+t2⇒dudt=ddtln 1-t21+t2 The derivative can be found as follows:

Q: Determine the solution which satisfies the two equations x- y= 11 and 2x+y = 19. A x =7, y= - 4 B no...

A: Given : Equations x - y = 11 and 2x + y = 19   To find : Solution of given equations?  

Q: Helium is being pumped into a spherical balloon at a rate of 5 cm3/min. Determine the rate at which ...

A: Given that, Rate of increase of volume is, dVdt = 5 cm3/min Diameter of balloon is (d) = 20 cm then ...

Q: Which of the following statement is always true? For all x <y, sinx<cosy B All of the above choices ...

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Q: Find the derivative of the function. 6ew 7w dr dw

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Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. r(t) = ( – 2t + 2)...

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Q: What should be the dimension of a rectangular field of given perimeter; if it is to have a maximum a...

A: Perimeter of Rectangular field = 2(l+b)  l is length of rectangle and b is width of rectangle. 

Q: The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), an...

A: Given query is to find the rate of change of temperature.

Q: Determine if the series converges absolutely, converges conditionally, or diverges. 00 (nl)27" E (- ...

A: given an=(-1)n(n!)27n(2n+1)!

Q: yA -4 -2 2 4 6. 8

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Q: Find the directional derivative of the function at point P in the direction of v. h(x, y, z) = xyz, ...

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Q: What is the 28th derivative of sinx? A -cosx B none of the given choices © sinx (D cosx E -sinx

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Q: This function 6x° +33x-30x + 100 has three critical points. What are they? O 3/5, 5/3 and 0 3/5,5, a...

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Q: Find the derivative of the function y=cos(3 In x).

A: Given y=cos(3lnx)

Q: d u = g(x), then dx/dy can be found using A. implicit differentiation B. product rule C. chain rule ...

A: If y = f(u) and u = g(x), then dx/dy can be found as below  Therefore , chain rule can be used 

Q: If y=tan(arcsec/x), then dy/dx is A none of the given choices x-1 2(х-1) sec (arcsec/x) 2x sec2(arcs...

A: We have to solve as per usual question 

Q: If Insinx = 1+ IncoSx, then x is equal to A tan-le B cot-le © none of the given choices D tan-1 E co...

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Q: Assume that the sequence converges and find its limit. 72 a, = 4, an +1- 1+ an for n = 1, 2, 3, . O ...

A: Given query is to find the limit of the sequence.

Q: If f (x) =ax³+ bx2 , determine a & b so that the graph of f will have a point of inflection at (1,2)...

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Q: Evaluate the indefinite integral by using the substitution u =x° +x to reduce the integral to standa...

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Q: Evaluate the triple integral. 6xz dy dx dz 0.

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Q: pz/2 psin y xdxdy V1 -x? 2

A: The solution are next step

Q: If f (x) =ax³+ bx² , determine a & b so that the graph of f will have a point of inflection at (1,2)...

A: We will find the a,b as shown below

Q: Evaluate the integral sin dt. sin dt%3D

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Q: (a) Given the differential equation dy 1 +y y dx forenti narable or ii. Identify the type of differe...

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Q: Below is the entire graph of function f. -1 Graph f, the inverse of f. y -8 -6 2. -8- 6.

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Q: The equation r(t) = (t +2) i+ (t -7) j+ (2t) k is the position of a particle in space at time t. Fin...

A: =&gt;v(t)=dr/dt  =&gt;a(t)=dv/dt  

Q: Given ||(3x²y)dA , where R is the region bounded by y=0 and y = - V9 – x? . Sketch R the region of i...

A: Let I is the value of given double Integration.

Q: yA yA y = f(x) y = g(x) 1

A: We have to find out

Q: 3. Evaluate the integral. dx B. + 1 А. 8 2 С. 4 c.- D. - 2 6

A:

Q: Find the gradient vector field Vf of f. 1 f(r, y) = (y – 2)?

A: For a given vector fx, y the gradient vector denoted by ∇f is ∂ ∂ xf∂ ∂ yfSo,=∂ ∂ x12y-x2∂ ∂ y12y-x2...

Q: (3x - y +6) dx + (6x – 2y - 6) dy = 0 Answer: 7x + 14y + 18 In ( 21x - 7y-12) = C. %3D |

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Q: Gamma of 6 r(6) O a. 24 O b. 240 O c. 120 O d. 12 O e. None of the above

A: We know that Gamma(x+1) = x Gamma(x) So, the above question can be done as follows:

Q: If f(x) = 7x2 − x3, find f '(1) and use it to find an equation of the tangent line to the curve y ...

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Q: Find values of x and y such that  fx(x, y) = 0 and fy(x, y) = 0  simultaneously. f(x, y) = 7x3 − 6xy...

A: Given, f(x,y)= 7x³-6xy+y³ fx= 0 fy= 0  

Q: ex – 1 Evaluate: lim x+o sin-1x (A does not exist B) 1 D E) none of the given choices

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Q: Use Taylor series to evaluate the limit. 1+ In (1+ 4x2) - cos (4x) lim x-0 x2 O A. 2 О в. 18 Ос. 8 O...

A: The given limit,limx→01+ln1+4x2-cos(4x)x2

Q: p(x) = (x + 2)(x + k) and if the remainder is 12 when p(x) is divided by x – 1, then k = Suppose...

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Q: x2 Vhich of the following is a horizontal asymptote ofƒ (x)= 2x2—х — 1 A 1 B 1/2 (c) no horizontal a...

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