Find the sum of the first eight terms of the sequence shown. 1/2, -1/4, 1/8 . . . a. 1/256 b. -1/256 c. 255/256 d. 85/256

Q: Determine the angle, to the nearest degree, between the vectors= (4,6,-2) and y = (1,8,2)

A: Solution is done in step 2

Q: Find the vertical asymptote of the graph of f(x) Describe the behavior of f(x) to the left and right…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about…

A: What is the volume of the solid generated by the area bounded by y=x² and x=y², and revolved about…

Q: 1 Given that 1 1-x a with convergence in (-1, 1), find the power series for 7-x n=0 n=0 Identify its…

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Q: 5 To-4x D 5-2x NILS (6z²) dz dy dx

A: solution:-∫052∫010-4x∫05-2x-y26z2dzdydx=∫052∫010-4x∫05-2x-y26z2dzdydx=∫052∫010-4x6z3305-2x-y2dydx=∫0…

Q: Find the maximum and minimum values of the function f(x, y)-xy subject to g(x, y) = x² + xy + y² =…

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Q: -10 -9 -8 -7 -6 Component Form: v = Magnitude of v: ||v||=| Direction of V: Ov = -5 -4 -3 -2 -1 y 10…

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Q: z (hx) = h + k

A: y'+y=(xy)2

Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ - sin 2x + 1,…

A: Here, given that force can be described by: f(x)=x3-sin 2x+1 And, no other force acting on the box.…

Q: Evaluate the iterated integral. 40 (xªy-7xy) dy dx 0-4 40 jjov (xªy-7xy) dy dx = [ 0 - 4 (Type an…

A: The given integral,    ∫04∫-40x4y-7xydy dx

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: If r(t) = (3t, 2t², 4t³), find r'(t), T(1), r"(t), and r'(t) x r"(t). r' (t) = T(1) = r"(t) = r'(t)…

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Q: The vertical face of a dam has a height of 50 m and width of 600m. What is the total fluid force…

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Q: Find the average value of f(t) = -2te Answer: -0.63 on the interval [0, 1].

A: topic- average value of function over interval

Q: 3 ven sin(0) = for <<m << then cos(

A: Topic:- trigonometry

Q: lim (-5) (²²-4x-5) x-5,

A: NOTE: Refresh your page if you can't see any equations. . first, we need to find the factored form…

Q: Find the transition points. y = 2x6 - 18x4 (Use symbolic notation and fractions where needed. Give…

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Q: What is the slope of the line tangent to the polar curve r = ㅠ Ө - ? O 1 √√3 ✓ 2 T -||♡33 √√3 cos at…

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Q: 5. If f(x) dx = 12 and f f(x) dx = 4, then all of the following must be tru a. ff(x) dx = 16 ✓ b.…

A: Given that∫25fxdx=12 and ∫58fxdx=4Solution :a.∫28fxdx=∫25fxdx+∫58fxdx                 =12+4…

Q: Find the domain of the function. (Enter your answer using interval notation.) u + 4 f(u) = 4 u + 4 4…

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Q: In your own language, describe the pattern of the following sequences (The sequences are given as a…

A: We draw required connection between the pattern and formulas as below.

Q: Convert the rectangular coordinates (4, 0) into polar form. Express the angle using radians in terms…

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Q: Help please

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Q: 11. S x + 4 x² + 5x - 6 dx

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Q: 3) [₁ 10etan (e³x – 3) dx

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Q: 3) Σ

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Q: 2. Find the Maclaurin series of f(x) = tanh

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Identify the theorem: assume that a region R on the plane is bounded by a simple closed curve C,…

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Q: Let the vector v have an initial point at (−1, 1) and a terminal point at (5, –5). Plot he vector v…

A: We have to find the component, magnitude and direction of given vector.

Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 L-1 1)…

A: Let's find inverse laplace 9f given function.

Q: Find the area of the region that is outside the cardioid r = 7(1 – sin ) and inside the circle r =…

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Q: X+5x+1 After decomposing the rational function x³-6x²+9x into partial fractions without evaluating…

A: Given problem:-

Q: Evaluate the double integral over the given region R. S xy cos y dA Sfxy |xy cos y dA= R: -1≤x≤1,…

A: NOTE: Refresh your page if you can't see any equations. . the given integration is  the limits of x…

Q: Determine the equation of the ellipse with center (-2,-4), a focus at (-2,5), and a co-vertex at…

A: Given:        center =-2,-4        focus =-2,5        co-vertex 10,-4 Equation of Ellipse is…

Q: need

A: We will solve the problem

Q: To determine the area of the region bounded by y=x2 + 1 bounded by x=2, x= 1, y = 0, use a…

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Q: x-y (x,y) →(0.0) x + y 2.) Prove that lim does not exist.

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Q: Find all the values of x such that the given series would converge. 8 3n (x2)(n+1) (n + 5) n=1 The…

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Q: et the vector v have an initial point at (-6, -2) and a terminal point at (-6, 2). etermine the…

A: Finding the vector V

Q: x2 Consider the ellipse + = 1. 62 In finding the area of this ellipse, use a horizontal element in…

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Q: Find the parallel projection of the vector v = onto the vector w=.

A: Given problem:- Find the parallel projection of the vector v=&lt;4, -5, 7&gt; onto the vector…

Q: If a parabola's focus is at (-2,5) and directrix is at y = -1, what is the vertex form of the…

A: The correct answer is option (2).

Q: 4. Find lim f(x) and lim f(x) for the following functions n→∞0 1118 f(x) = 3x² − 2x + 1 1. f(x) = =…

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Q: A geometric series has S3=37/8 S6 = 3367/512 Find the first term and common ratio

A: Given, S3=37/8  S6 = 3367/512

Q: A curve is defined by the parametric equations x (t) = at² and d² y y (t) = bt where a and b are…

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Q: What is the subtraction of Vector M from Vector T? M = 5 units T= 4 units

A: Solved below

Q: 1- (x²1) + dy 2xy = 1 ty Cosx Ex Sinh 2- Sin(x) dy dx 3- - dy dx + 3x²y = x²x³ + 4- xlnx dy dy +y =…

A: Since you have asked multiple questions,we will solve the first question for you . If you want any…

Q: find Sexcos'x dx by using integral by Parts.

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Q: Evaluate the integral. 1³w² in w² In(w) dw

A: We will solve the integration

Q: Determine the equation of the ellipse with foci (1, 4) and (-5, 4), and co-vertices (-2,8) and…

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