Use sigma notation to write the sum. j=1

Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to v...

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Q: -dx x2+x-6 xp* C. 13 D. the integral is diver A. 4 В. 6 A

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Q: Find the area between the y-axis and the graph X = /y on the interval 1, 4]. 4 3- 2- -1 0 1 2 3 O 16...

A: The given question has been solved in detail and option (c) 14/3 is the correct answer. 

Q: Evaluate the following a. 2/(1 + j4)

A: As per the guidelines  we can answer only one question.  If you want to get the answers of your othe...

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

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Q: Q3:Graph the following function:- 1- f(x) 1x- 31-1 2- x-1-y2

A: Given: 1) f(x)=|x-3|-12) x=1-y2

Q: e diagonals of the parallelogram nt sides.

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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: Finding the Area of a Region In Exercises 15-30, sketch the region bounded by the graphs of the equa...

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Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. (a) Vn (-1...

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Q: 5x2 + 20x + 6 dx x3 + 2x2 + x 3.

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Q: 2. Express the shaded area of the region shown below by double integrals of order of integration (1)...

A: find area using double integration

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...

Q: : Solve-Using D-operator dy dx + 3y – 5x - e-t = 0 dt %3D dt dx dy 2- dt +x +y-3 = 0 dt

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Q: Solve the following First-Order Differential Equations and give the particular solution or general s...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Find the vector component of v = 2i – j+ 3k along b = 6i + 6j + 7k and the vector component of v ort...

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

Q: 11. Use the Shell Method to calculate the volume V of the solid obtained by rotating the region unde...

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Q: 1- V1+ 36x2 Let f-(x) = 2x V1+ 36x? 2x f(f-(x)) %3D 1. V1+36x 6. - 2x

A: Here, the given function is: f-1(x)=1-1+36x22x Let, f-1(x)=y⇒y=1-1+36x22x⇒2xy-1=-1+36x2⇒(2xy-1)2=1+3...

Q: Water is leaking out of an inverted conical tank at a rate of 6700 cubic centimeters per min at the ...

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Q: Given f(x) 3r In (2s). Find fr (4, 3). Give = -4x + 5 and x = your answer correct to two decimal pla...

A: Given :f(x)=-4x+5x=3rln(2s)

Q: Let a = ci + jand b = 16i + 12j. Find c so that the angle between a and b is- 6° Round your answers ...

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Q: (a) In(1– x) +xe? (b) 2х 2x 1-cos(x) (d) V1+x-1 Check and briefly explain how to avoid the loss of s...

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Q: Find the area between the y-axis and the graph X = -y + 5y – 4 on the interval [1, 4]. 3- 2- 54 3-2 ...

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Q: Find the absolute extrema of the function on the closed interval. f(x) = 4 – x, [-3, 2] minimum (х, ...

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Q: Solve the following differential equations of dy 1 + -y = xy'; dx 'Linear Differential Equation

A: The standard form of Bernoulli's differential equation is: dydx+Py=Qyn Where; P & Q is the funct...

Q: Q1: Convert the polar function to Cartesian function in the form f(x, y) = 0? cos 0 + sin 0 r = cos²...

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Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. 2n + 1 (b)...

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Q: Make the indicated u-substitution, and then use the Table of Integrals to evaluate the integral. e6x...

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Q: computes curve length for 0

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Q: If the integral contains v(x^2 - a^2), the best trigonometric substitution to be used is A. let x = ...

A: Solution is written in below steps.

Q: Find the centroid of the region bounded by the curves: x = 2y – y? and the y-axis A = sq. units; Cen...

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Q: Use your knowledge on Higher-order derivative and Chain Rule to show that z" + 4z' + 8z = 0 if z = e...

A: Show that, z''+4z'+8z=0 if z=e-2xsin2x+cos2x Formulas used: ddxsinx=cosxddxcosx=-sinxddxenx=nenxProd...

Q: Write an equation for the polynomial graphed below 6+ 4 2- -1 -2+ -3 -4 -5 -6+ y(x) =

A: Find your answer below 

Q: 1.Sketch the graph of the following conic: 4x^2-8y^2+24x+4=0 Then determine the focal point and its ...

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Q: Coefficients Linear in the Two variables: Solve the equation (x + 2y – 4) dx - (2x + y - 5) dy = 0 O...

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Q: if y = a sin x Prove a +b CosX a cos + b %3D 2 (atb cosx) 11

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Q: Find the derivative of the function by the limit process. f(x) = x3 - 9x + 1 f'(x)

A: We know,f'(x) = limh→0 f(x+h) - f(x)h  by limit processHere,f(x) = x3 - 9x + 1So,f(x+h) = (x+h)3 - 9...

Q: onsider the hyperbola of equation: - h)? (y – k)2 1 a2 hose foci are (-3, 2) and (9, 2), and the dis...

A: Topic:- hyperbolic geometry

Q: Finding the Area of a Region In Exercises 15-30, sketch the region bounded by the graphs of the equa...

A: Let's find. 

Q: Question 14 Evaluate and simplify the integral x +æ+3 a4+6x2+9 Show your solution. Upload Choose a F...

A: A detailed solution is given below

Q: Let an​ be an arithmetic progression, for which a1​=15 and d=3. Find the sum of the first 10 element...

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Q: Use the Endpaper Integral Table to evaluate the given integral. If you have a CAS, use it to evaluat...

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Q: 4 16+ 16y – 4y² (y2 – 4)2 3

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

A: The given function,     gt=t5-t, t<4

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

A: Given: The expression for the volume of tetrahedron is: V=16u·v×w And The vertices P-2,5,0, Q2,1,-3,...

Q: Find a positive root of equation x - 2x - 5 = 0 by the method of fixed-point iteration. Hints: The r...

A: Given the equation is  x3-2x-5=0. We have to find a positive root of this equation by the method of ...

Q: (2) V+ Vx? + Va 4x2+2yx2-Vx+1 4x2+2x2+Vx-1 (a) (b) 4x2+2/x²+vx+1 4xZ–2,x²+vx+1 (c) (d) O b O d a

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Q: Reciprocal Substitution – x³ )/3 dx

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Q: Consider the region formed by the curves y = 2x² – x +1 and y = x² + x + 4. a. Compute for the end p...

A: Let's find. 

Q: Determine the area bounded by the curves y² = 4x and y² = 8(х — 1). A. 1.56 sq. units B. 3.12 sq. un...

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