2 1 + 22 + 1 32 + 1 1 + 42 + 1 d) + + ... 12 + 1

Q: Forms of Summation Notation 1. Summation of n Variables: 'x' Ex; = x1 +x2 +X3 +...+x, Example Given ...

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Q: Find numbers a and b, or k, so that f is continuous at every point. 3x+ 9, if x<-6 f(x) = { kx+ 6, i...

A: Hair we are given that the function is continuous at every point. we use the concept of limit for fi...

Q: d(tan (1)) d(tan x) – 2 for x="% and y = 1. Find the dx using the rule we tan x, dx arned in class f...

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Q: Given the differential equation y" - 8y' + 16y = 5x? e4* (1) Find the combined differential operator...

A: First I have written the given differential equation into operator form and then find the auxiliary ...

Q: Find a (real) general solution. y" + 2y' + 2y = 4e¯* sec³x

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Q: Evaluate the integral. 了學 ( Inx dx O- In x - +C 2x 4x2 O-4 In x - + C 4x2 0.을 Inx- +C 2x2

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Q: 1 k + 2 k=4

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Q: K石Xuts

A: ∫ Sin-1 x dx   ....(1) Using integration by parts ∫ f1(x)*f2(x) dx = f1(x)∫f2(x)dx-∫[d/dx(f1(x)*∫f2(...

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 11y and y = x with y...

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Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) = cot ...

A: Use the definition of asymptote 

Q: You want to buy five bottles of soda in order to cater a small get-together at your place. You run t...

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Q: x +1

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Q: a. What is the bridge's height above the water? feet Preview b. How many seconds after being thrown ...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Compute the flux of F = (5(z + 2), 5, 52) through the surface S given by y = ² + 2, with 0 0, z 2 0,...

A: We have to find flux. 

Q: Bray?) da (y ) (x+zy+3)da - (2x-4+1)dy =0

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Q: An ellipsoid S has the parametric equation S (0, Ø) = (cos0 sing, 2sino sinø, 4cos ø) where 0 and øa...

A: Given equation of ellipsoid S(θ,ϕ)=cosθ sinϕ , 2 sinθ sinϕ , 4 cosϕ

Q: The temperatue of a town t months after January can be estimated by the function f(t) = – 28 cos( + ...

A: The solution can be seen below.

Q: Find all the values of e such that the given series would converge. (z – 11)" n( – 7)" n=1 The serie...

A: series

Q: 30A ball is thrown straight up into the air off the top of a building so that is height in feet afte...

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Q: C. а, %3D 3, аn+1 2an ; untuk n > 1

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Q: 1. Determine the important parts of the conic and sketch their graph. а. у? + 2х — 10у — 31

A: As per our guidelines we are supposed to answer only one question i.e. the question no 1)a). For the...

Q: What is the value of a so that In (e") dx = 6? a A.) 0 B.) 1 C.) 2 D.) 3

A: Solve it by using logarithms rules. 

Q: 1. Consider the region bounded by y = x and y = Vx, shown below. Find the volume of the solid obtain...

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Q: Sketch the region enclosed by a + y = 6 and æ + y= 0. Decide whether to integrate with respect to a ...

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Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = 3VT...

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Q: 3. (D5- D-2D3 + 2D2 +D – 1)y = 0

A: This is a differential equation problem

Q: 2. An area is bounded by the curve y = 8/(x² + 4), the x-axis, and the lines x + 2 = 0 and x-2 = 0. ...

A: Given, The curve bounded by y =  8/(x2+4) and x axis (y=0) And lines x+2=0 and x-2=0 x= -2 and x=2

Q: Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians, w...

A: We can find the centroid as below using the required formula.

Q: A. Evaluate the following integrals by substitution. 1. fx(2x2 + 3)%dx x5 2. S; dx (x6-8)2 3. Sx V1-...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Given: y=x+1, y=0, x=0, x=7

Q: Compute f' (x) using the limit definition. f (x) = 1 – 15x-1 (Use symbolic notation and fractions wh...

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Q: yx+1 y=0, 0. 7 about the ras Siatch the region. Skatch the solid. and a typical disk or washer 10

A: Here, the given region is bounded by the curves: y=x+1, y=0, x=0, x=7

Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = 2x2 + 3xy...

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Q: The weekly cost C (in dollars) of producing x units in a manufacturing process is given by  C(x) = 8...

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Q: 3ysinxdx/dy-2xycosx=0, Find exact differential equations

A: Given  3ysinxdx/dy-2xycosx=0

Q: Question 7 This is a cuboid. Which of the following is not a net of a cuboid? B

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Q: Skatekthe region enclosed by the given curves and then find the area of the region. y = cos(72), y =...

A: The region is bounded by the curves  y=cos(7x) ,y=0,x=π14 ,and x=π7

Q: Use the limit definition to compute the derivative of the function f(x) = 5x- at x = 3. (Use symboli...

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

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Q: write the standard form of the equation of the circle with the given characteristics. Center: (-1, 2...

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Q: Evaluate the integral. 1/2 3 sin 2nx dx 2.3 16 16 3 8

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Q: Define the binary operator V by: a Vb = 4 Simplify each of the following. Do the order of operations...

A: Given

Q: Find all the values of a such that the given series would converge. (7x)" n5 n=1 The series is conve...

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Q: 3x^2y^2+2x^3ydy/dx=0, Find differential equations'

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Q: a and b are positive numbers. a, -4, b.... form a geometric progression. 14, a, b... form an arithme...

A: Recall: Arithemetic sequence : An arithemetic sequence of numbers such that the difference d between...

Q: 1) Consider the graph of the function f(x) = 5x -8x a) Find the slope of the secant by sketching a g...

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Q: 31, 32, 33, and 34 Use the Squeeze Theorem to find the limit. 31. lim xy sin (æ, y)→(0, 0) x2 + y²

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Q: Given the equation y = exp(ax^(1/2)+b), which of the following plots will give you a straight line i...

A: Compare the equation with straight line equation.

Q: Examine the following functions for maxima-minima and trace the curves. a. Y = x* +1 a²x b. Y=- a²+x...

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