Use sigma notation to write the sum. 8 8n 8n Σ i= 1

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Q: əz and Əx əz For the following functions, determine ду z = x*ev5

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Q: Example 7: Determine whether the planes x- 3y + 6z = 4 and 5x+ y - z = 4 are orthogonal, parallel, o...

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Q: x-2 Evaluate the integrand J dx using partial fractions (x-1)(x²-4x+4) A. In]x – 1| – In x – 2| -+c ...

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Q: Let f be a differentiable function. Consider the relation = x•f where z is implicitly defined in ter...

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Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and v = 2j +k as adjacent sides. NOTE: ...

A: The given question has been solved in detail. 

Q: 1. Using Logarithmic Differentiation, find given that dr -3 sec-(VT) y = 4"(log21)«ch z'

A: To find derivative using logarithmic differentiation  keep this formulas in mind  log ab= b log a lo...

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Q: x? dx and simplify your answer. Show your

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Q: Let be Z= ax? yf +bx²y³ 9 and b que cors P is a pant givon by (-1,-1) qnd we Anaw dz (P) = -2 , &르 (...

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Q: 4x2 – 21x (x - 3)2(2x + 3)

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Q: Q1: Convert the polar function to Cartesian function in the form f(x,y) = 0? cos 0 + sin e r = cos20...

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Q: 9-x2 C: Change to polar and evaluate the double integrals S (x3 + xy?)dydx V9-x2

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Q: Evaluate the function atlthe given value of the independent variable. Simplify the results. (If an a...

A: given function f(x)=4x-3need to evaluate f(x)-f(19)x-19

Q: Hi, I need help with these problems. Thank you so much! Find each of the following derivatives. g(2)...

A: Topic:- derivatives

Q: Given a function f(x,y,z) = (x+9) ln (2y - 3) sin (5z). Find the range of the function. a.[ -1, 1 ]...

A: We know,  Range of sinx = [-1,1] for all real x. Range of ln(x)=-∞,∞ for all real x Range of a (x+a...

Q: Vx2 – 1 2

A: ∫x2-1x2dxIntegrate by parts ∫fg'=fg-∫f'gf=x2-1, g'=1x2f'=xx2-1,g=-1x

Q: xdx Evaluate f: Vx-16 Vx²+16 -16 In In +C In In D+c A. с. (In In + + C In In +C в. D.

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Q: 3x-28х+49 Зx-7х a. Simplify : i) ii) /x'y . /xy. Write the answer in radical form. b. Solve the equa...

A: i)=3x2-28x+493x2-7x=3x2-7x-21x+493x2-7x=(x-7)(3x-7)3x2-7x=(x-7)(3x-7)x(3x-7)=x-7xor=1-7x

Q: Use Bisection Method to find the root of æ + 10x? – 5 0 that lies in the interval (0, 1) to four-dig...

A: We have to find the root of the given cubic equation using bisection method.

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

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Q: Find the derivative of the function by the limit process. PX) = x - 9x + 1

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Q: Question: * Using integration by parts, integrate S In 5x dx A. xln 5x – x+ c с. 5xInx - х+ с в. х? ...

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Q: Let an​ be an arithmetic progression, for which the first term a1​=1 and common difference d=1. Find...

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Q: Use left endpoints and 6 rectangles to find the approximation of the area of the region between the ...

A: Let's find. 

Q: Use the rules of differentiation to find the derivative of the function. (e) = 4 cos(@) – sin(8) f'(...

A: f(θ)=4cos(θ)-sin(θ)5Differentiate with respect to θf'(θ)=ddθ(4cosθ-sin(θ)5)f'(θ)=ddθ(4cos(θ))-ddθ(si...

Q: Evaluate the integral: S csc²xv1+ 3cotx dx. A. (1+3cotx) + c B. -3(1 + 3cotx) + c c. (1+3cotx) + c -...

A: Solve the integration

Q: Sketch the region bounded by the graphs of y = v1-x, y 1-, and y = 0. Find the volume of the solid o...

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Q: The sequence that begins 1 1 1 1 3? 4 5 6? could be ... 2 O a Fibonacci sequence. O a harmonic seque...

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Q: S"(x² + y²)dx dy B. 19/2 Evaluate A. 35/2 C. 37/2 D. 17/2

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Q: dy 1. Using Logarithmic Differentiation, find * given that dr -3 sec-(VI) y = 4"(log2 r ech z

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Q: A street light is at the top of a 20 ft tall pole. A woman 6 ft tall walks away from the pole with a...

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Q: sin x dx

A: This is a problem of integration. Based on the general formula of integration we will solve the ques...

Q: Find the interval of convergence (-1)"n (x + 3)" 4" n=1

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Q: dx Evaluate: S sin'x A. 3tanx с. tan?x + C tan x 1 + C tan 2x tanx + C tanx в. D. 2tan?x 3tan?x A C

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Q: Consider the following limit A. Use a graphic calculator to find the limit B. Find the limit analy...

A: Solved below

Q: Evaluate the following, 8 [? + 3) e-2* dx, and write your answer in the form g(x) e¯2x + C.

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Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function ...

A: Solved below

Q: Find the area under the graph y =- on the interval 1, 3|. 2+ 1 1 3 4 O -1.100 -0.100 O 0.100 O 1.100...

A: Find the area under the graph y= 1/x on the interval [1,3] .

Q: QUESTION 3 Determine if the series converges or diverges. If the series converges, find its sum. If ...

A: Please refer to the image below

Q: EXERCISE 1.4 Solve the lim [log(x)] by completing its table of values. Solve the x-10 one-sided limi...

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Q: 3x2 – 4x + 5 (x – 1)(x² + 1)

A: we will solve the integral by using partial fraction decomposition. 

Q: Find all rational zeros of the polynomial, and then find the irrational zeros, if any. Whenever appr...

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Q: Find the differential dy of y = tan x for x = π/4 and dx = −0.1.

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Q: Given a function f(x,y,z) = (x+9) In (7y - 2) sin (2z). Find the domain of the function. a. { (x,y,z...

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: I am attaching image so that you understand each and every step.

Q: For the given functions, find the domain, range and sketch the graph: 1. y = (2 + 3x)/(x – 1) ------...

A: We have to find domain,range and graph