2. / 3" csc²(3") sin“(3") da (3") sin®(3") dx

Q: Find the equation of the tangent line of y = 4e* at xo = 0. (Use symbolic notation and fractions whe...

A: y=4exSubstitute x=0y=4e0=4The point is (0,4)

Q: Let z = 6exv , find dz %3D

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Q: Find the solution of the given initial value problem. ty' + 4y = t – t+ 5, y(1) = 5, t> 0 |

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Q: The following graph shows the rate of change n(t) of the number of active eBay users, in millions of...

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Q: tio test for absolute convergence to determine whether the series co te

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Q: Vr csc Vx ,2

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Q: xp: Sdx 1 x+Vx

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Q: I-4, I 2 %3D undefined b. 2 x C-2 d. does not exist

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Q: Each of two sides of a triangle are increasing at the rate of 1⁄2 foot per second, and the included ...

A: Rate of increase in side lengths = 0.5 ft/s Rate of decrease in angle = -2 degree/s Angle between si...

Q: Write this term in mathematic language: bcos(ax)^2, a-(sort(5)-1)/2

A: Let's find. 

Q: x'e-2x dx 20 dx 2

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Q: .3 dx

A: Definite and indefinite integral 

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: 50 -40 -30 -20-10 10 20 30 40 50 Based on the pattern you see in the graph answer the following ques...

A: The symbol limx→af(x) represents the value of f(x) as x is nearing the value a irrespective of appro...

Q: 43. The length {, width w, and height h of a box change with time. At a certain instant the dimensio...

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Q: Find 7(t)dt if 7(t) = (2 cos t, sin t, 2t). A. (2-1.) B. (2.0,) c. (2.1) D. (2.2. ) 2, –1, 2,0, E. n...

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -5 and g'(6) = 3. (...

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Q: 5. Given that r(t) = 3i + e* sin tj + e cos tk Find equations of the normal plane and osculation pla...

A: We have to  find equation of normal and oscillating plane of above curve. 

Q: Find the inflection points of each of the given curve.  4y = 3x4 – 16x3 + 24x2

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Q: Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west a...

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Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to...

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Q: 1. Evaluate the following limits. 3x + 10 – 4 (a) lim 1+2- 12 - 4x + 4

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+12 Σ 00...

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Q: Find the equations of the tangent and the normal of y = 3x2-2x+1 at point (1,2).

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Q: Find the indefinite integral. 4x2+2x-1 d.x none of these Omz + 1| -31m|z미-글+C o+ Inz* + =*|+C In a+1...

A: Given: I=∫4x2+2x-1x3+x2dx   We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫1ax+bdx...

Q: ak+1 If lim k→+∞ ak = 5, then ak diverges. k=1

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Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

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Q: For the functionf(x) = |x – 2|, evaluate the left and right limits of f(x) as x approaches 2. Provid...

A: We are asked to evaluate the limit.

Q: For the given p-series, identify p and determine whether the series converges. -8/7 .Therefore the s...

A: The given series,       ∑k=1∞k-87

Q: EVALUATE INTERMS OF GAMMA FUNCTION.

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Q: csc 0 tan 0 dr – (r csc 0 + tan² 0) d0 = 0 -

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Q: Find a number a so that the tangent lines to y= x° + 11x +x + 13 at x = a and at x = a+ 1 are parall...

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Q: a. As x approaches -1, f(x) approaches what value on the first table? On the second table? b. Do the...

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Q: For what value(s) of k are the vectors ü (2k, 5, k) and v = (3, -8, k) perpendicular

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Q: A tank in the shape of an inverted right circular cone is full of water. The water weighs 62.4 pound...

A: Work done on an object is defined by,         W=F.S, Where F is the force exerted on the object and...

Q: Use technology to evaluate the given expression. Take 1.6 7.3 1.4 -2.39 5.1 A = and B = 5.5 0 44.8 1...

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Q: Find the derivative of: y=x^(7sin(x)). (x>0).

A: Multiplication rule of derivative is used.

Q: Find the limit of the sequence using L'Hôpital's Rule. (In(n))² an = 13n (Use symbolic notation and ...

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Q: Water is poured into a conical container at the rate of 10cm³/sec. The cone points directly down, an...

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Q: Use logarithmic differentiation to find the derivative of the following: 8. h(x) = 25x34x² ans. h'(x...

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Q: 4 sin320 cos20 d0

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Q: » [3] S Te dx > Vex [4] S(x- s(x + !)° dx >

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Q: What is the general solution to the differential equation x = x +y?

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Q: 2. Find the extrema of the function g(x) = x3 using any of the methods given in the above discussion...

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Q: 1. Is the following expression a scalar, vector or meaningless? lä|ab

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Q: Suppose Gavriel's utility depends on the amount of time spent playing on Xbox (X) and the amount of ...

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Q: Using integration by parts, uV- V du cone for j 3*crc'(3x) sin C3x ) dx solution. dv = du = V =

A: Solution is here

Q: olve a nonlinear equation by making a change of the dependent var portant such equation has the form...

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Q: 2 x y ey + y² e*v° +1) dæ + (æ² e**v +2 x y e" ° – 2 y) dy = 0

A: We have to solve given differential equation.

Q: 1. Find the area of the region bounded by the graphs of the equation Y = x and y = x2.

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...