Differentiate the function. 2 + g(t) = In t(t? + 1)4 V8t – 1 g'(t) =

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A: We have to find to check the correct

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A: Use formula for average value of function .

Q: 18. Find [ 2x°(2x* -1) dx

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Q: Jse symmetry arguments or similar to find the total charge in sphere of radius Rothat has charge…

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Q: Write an equation for the polynomial graphed below 5 4 3 1 2 -1 -1 2 3 4 5 -5 -4 -2 - -3 -4 -5 +…

A: topic- polynomials

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A: Let us assume that radar station to be at ground level. Then representation of plane and radar can…

Q: 7. Find the exact x-value where the function f (x) = x +ln (x² – 1) attains a maximum value. An…

A:

Q: Write the function below in the form y = f(u) and u = g(x). Then find as a function of x. %3D y = V…

A: Given:        y  = 3x2-4x+2

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A: We have to find the exact length of the curve y=1+6x32 for 0≤x≤1.

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A: We will use sigma notation.

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A:

Q: Find the velocity and acceleration vectors in terms of u, and ug- r= 5 sint and 0 = 5t = (Du, + ()…

A: Recall:The velocity is given by      v =r' ur +(rθ') uθandThe accerleration is given by     a…

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A: Using L hospital rule find limit

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Q: Evaluate the integral [(4?) i + (3) j+ (5t + 3) k] dt. 1 i + (3) j+ (5t + 3) k] dt = (O i+ O ij+ (O.…

A: Topic = Integration

Q: Exercise 4. Calculate the convergence set of the following is not enough, a justification is also…

A: Given

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: For the power series E (х-3)" find the interval of convergence. n=2 n5"

A:

Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

A: Parametric equation of line passing through a point x0,y0,z0 in the direction of N=a,b,c is…

Q: 3 4 11) –3 0 -5 Ans. r = 2 - 4 5

A: A detailed solution is given below.

Q: Find the 2nd derivative with complete solution y = 3x + 5 / x^2 + 4

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Q: c) y(x) = c, + cz + Acos3x + Bsin3x Q.6) The singular point (s) of (x² + 4)y" – x y' + 4y = 0 , is…

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Q: Determine the first derivative for each of the following functions. Remember to "Tidy" up your final…

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Q: 3) Explain why the Cartesian equation 2x– 5y+ 3z = 2 does not describe the plane with normal vector…

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Q: Given the geometric sequence 33, 44/5, 176/75 find an explicit formula for an and find a12 please…

A: Given GP is 33,44/5,176/75 We have to find the explicit formula for an and then have to find a12.

Q: 2. y=x² - 4x and y=-x² +2x. y² = x and x² –2x+3y= 2. 3.

A: Given÷

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Q: 2 | [ cos ti- sin 7t j+sin 6t k]

A: Given :

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Q: Refer to the figure below to find the limit lim f(x). X - 00 3.5- 2.5- 1.5- 1- 0.5- 2.

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Q: 7. Find the exact x-value where the function f (x) = x + In (p² – 1) attains a maximum value. An…

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Q: 24 2. 3. 25 Equation: Solution: Ec So Triple?. Tr Triple Family: . Tr

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

Q: 2. Suppose z is a function of a and y and tan(V+ y) = e*. Determine dz dz and 2

A: Suppose z is a function of x and y  tan (√(x + y)) = ez^2  We have determine ∂z/∂x and ∂z/∂y

Q: Find the solution of the differential equation dy x+y=x²y² dx

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Q: [9]. Suppose that a ball is dropped from an initial height of 300 feet, and subsequently bounces…

A: The initial fall h=300 The first rise &amp; fall 2*.9× 300 The 2nd rise &amp; fall…

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Q: n-1 Consider the series n=1 Find the sum. If it doesn't exist enter "DNE"

A: We have to find out the sum

Q: 13. The distance s, in metres, fallen by a skydiver t seconds after jumping (and 160(:1 – 1 + e-5.…

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Q: Test the given geometric series for convergence or divergence. If it converges, find its sum. 4 16…

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Q: 2. Let A = (1,0, 1) and B (0, 1, 3). Solve for projaB. %3D

A: We have to find projection

Q: Find the equation of the tangent line to the function f(x) = 4* at x = 3.

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Q: Find the nth term of the given infinite series for which n= 1, 2, 3, ... 1 1 +... 2x6 3x7 4x8 5x9 an…

A: Given 12×6-13×7+14×8-15×9+.....n is from 1,2,......... to infinity

Q: 6. Vector, scalar or meaningless? Explain. ») (ä - 5) + (7 - E) b) (å x 5) – (¿ x đ) c) dlã x )

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Q: A seagull, flying above a lake, dives for a fish according to the function h(t)=0.25t -4t +15t ,…

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Q: cost- sint sint+ cos t i+ - cost- sint cost- sint i+ Find the binormal vector B and torsion t for…

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Q: Write a in the form a = a-T+anN at the given value of t without finding Tand N. r(t) = (2t + 3)i +…

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Q: Needs complete and organized solution. Find the area of the plane region bounded by the given…

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Q: Evaluate each limit: x +x-30 a) lim x-3 x-6x+5 3-1-4x b) lim X-2 x+2 x+3 c) lim x→-3 Vx-5+2

A: Limit

Q: 2. Find the volume of the solid bounded by z = 0, x = y2,z= 3, x = 4 - y2. (graph the solid)

A: Given problem:- Find the volume of the solid bounded by z = 0, x = y2 ,z= 3, x = 4 - y2