List the first five terms of the sequence: An a1 = 4, аn+1 An + 1 aj = , a2 = Az = a4 and a5 =

Q: If P (z) = tan (2) + in a first order linear ordinary differential equation + P(z) y=Q(z), the integ...

A: According to our guidelines we are supposed to answer only the first question if you want any partic...

Q: Use the intermediate value theorem to determine whether the function f(x) =x + 6x-8 has a root or no...

A: Here, the given function is: f(x)=x3+6x-8 Now, f(1)=1+6-8=-1f(2)=8+12-8=12  

Q: 1. The derivative of b** is 2. The derivative of is Inx

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Q: x2sinx Q4 : Find dy /dx Y = (1+x2)2V1+x

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Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

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Q: Suppose that f is a function given as f(z) = x – 5. Simplify the expression f(x + h). f(x + h) = %3D...

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Q: 1. Find dy/dx if cos 4y+ysin x =3 2. Use implicit differentiation to find the slope of the tangent l...

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Q: etermine f(x) given that f'(x) = t* – t³ + t2 +t – 1

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Q: 1 dx (25 – x2)3/2 - Show My Work (Required) ?

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Q: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate (de...

A: We are given the death rate function as R(x)=5x² − 35x + 108 where x is the weekly amount of exercis...

Q: Find the average value of the function over the given interval. (Round your answer to three decimal ...

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Q: Consider the following. f(x, y) = 2x – 4y (a) Find f(10, 3) and f(10.1, 3.05) and calculate Az. f(10...

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Q: Find the volume of the following solid. The tetrahedron bounded by the coordinate planes (x = 0, y= ...

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Q: Q3 : Evaluate the following integral. X4V9-x2

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Q: A system is described by the DE n.p + r + 5 u = 10. d t? dt (a) For what values of the positive cons...

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Q: Sketch the region enclosed by the given curves. y-Vx-2, x- y- 2 y Find the area of the region.

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Q: C. Given: ΔΤΑΝ-ΔΤKJ 1. If TJ = 8cm, AN = 10cm and TA = 12cm. Find TN and KJ 2. TN = 5x -7cm, TJ = x ...

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Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the double-...

A: tanu = 5/13 other side of triangle = 194 cosu = 13/194 sinu = 5/194 sin2u = 2*cosu*sinu sin2u = 2*13...

Q: cos? 2 2 dx sin -1 2

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Q: f(x) = 9x + 9 %3D g(x) = x² – 7x – 8 - Find |(2) g. The domain of is z + Question Help: D Video Add ...

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v ort...

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Q: find all zeros of f(x)=x^3-5x-2 , please show work

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Q: Let a = ci + jand b = 5i + 12j. Find c so that the angle between a and b is- %3D Round your answers ...

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Q: Find a power series representation centered at 0 for the following function using known power series...

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Q: 2) f(x) = x +: [1,3] a- Determine whether the Mean Value Theorem applies to the given function on th...

A: Given  f(x) = x+1x;  1, 3

Q: 1 Evaluate the following integral. dx X4V9-x2

A: ∫vn dv = vn+1n+1+C

Q: Let f(r) = V7 2. Compute f'(3) using the limit definition %3D f'(3) 3D Find an equation of the tange...

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Q: 3. Evaluate each definite integral by using geometric formulas. (a) 14.x – 12| dr dr (b)

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

A: We can find the integration as below using standard formula.

Q: Find the area of the region bounded by the curves, x = -6, x = 6, the x – axis and the parabola x2 –...

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Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the are...

A: By using graphing utility to graph the region bounded by the graphs of the equations. Then to find t...

Q: Find the exact value of the trigonometric expression given that sin(u) = - where 3x/2 <u< 2x, and co...

A: tan(u+v) = (tanu +tanv)/(1- tanu*tanv) tanu = sinu/cosu cosu = 1-sin2u cosu = 1-(3/5)2 cosu = 4/5 si...

Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm. ...

A: a)Area of the box (A)=x.x+2xh+2xhA=x2+4xh75=x2+4xh  [Since A=75 cm2]75-x2=4xhh=14x75-x2Volume of the...

Q: Using the partial fractions technique, the function fx)= 22x+58 can be written as a sum of partial f...

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Q: D) Find the parametric and symmetric equations of the line through the points(1, and (-5, 4, 2).

A: Given query is to find the equation of the line.  

Q: Write an equation for the function graphed below -7 -6 -5 -43 -2 5 6 7

A: y=0at x=0, 3vertical asymptotes;x=-1, x=4There are no maxima or minima.y=x(x-3)(x+1)(x-4)

Q: C) Convert the equation 5x2 + 2y2 = 3z to spherical coordinates. %3D

A: Use the relation between and spherical coordinate and cartesian coordinates.

Q: Find the Laplace transform for the follow e-t sin t

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Q: 4 5 -7 -6 -5 -4 3 -2 -1 0 1 2 --1- -2 --3 --4- --5- --6- [ Select ] a = b = [ [ Select ] [ Select ] ...

A: Topic:- geometry   

Q: d (a) dx 2 1 + x

A: Topic:- derivatives

Q: Problem 12: Let f(x and g(x) be functions. Suppose we know that f(6) = 3, f'(6) = 1, g(6) = 2, and g...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: Q3 : Evaluate the following integral. x+V9-x2 xps

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Q: Using the function f (x) = 2x2 - 3x 1, find the average rate of change of f (x) in the interval 1,3]...

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Q: rtoo Е. re dx स०२२

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Q: 1 Show that 2-* d.x 2 In 2

A: We can show the answer in the following steps.

Q: S dx - s S x² dx

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Q: Find the percentage rate of change of f(x) at the indicated value of x. F(x)=8250-5x^2;x=25. The per...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: v=19, -12oppositely directed to v,(The angle between vectors with opposite direction is 180° and the...

Q: Find the monthly payment needed to amortize a typical $130,000 mortgage loan amortized over 30 years...

A: P =$130000 n = 30 year = 12*30 = 360 month r = 5.7% = 5.7/12 =0.475 % monthly   monthly payment = Pr...