Verify the following relations: a) n=1 1 Σ(n-1)³ n=2

Q: f(x)=2x2 + 5  domain: range: Thank You! :)

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Q: Sketch the graph of the function. √√x O -4 f(x) = x 4 -2 (x - 1)2 if x > 2 y 4 2 y if x < -1 if -1 <…

A: Given query is to to find the graph and the limits which exists.

Q: Pls do fast and i will rate instantly for sure solve inequality 2x^(3)-5x^(2)>=x+6 by considering…

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Q: Consider the differential equation y" -7y + 12 y = 0. (a) Find ₁, ₂, roots of the characteristic…

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Q: . (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does not otherwise √x…

A: Topic:- application of calculus

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Q: K Use the formula for instantaneous rate of change, approximating the limit by using smaller and…

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Q: Find the derivative of ƒ (x) = (x7 − 7x) (x² + 8x − 10). f'(x) =

A: Topic - Derivative of a function We are given that f(x) =(x7-7x)(x2+8x-10) we know…

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Q: 2x³6 Solve differential equation. You may leave your answer in implicit form. dy dy + +y =…

A: If M and N are functions of x and y and ∂M∂y=∂N∂xsolution is given by∫keep y constantMdx + ∫term…

Q: Suppose lim f(x) = 9 and lim g(x) = -8. Find x-2 x-2 lim (5ƒ(x)² +6ƒ(x) — 7g(x)³ + 3g(x)² − g(x) −…

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Q: The graph below shows the profits of a small home business for the years of the decade of the…

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

A: Given limit is limx→0+6sin(x)4ln(1+x)

Q: Evaluate the integral. Jo 4 dt 16+ t²

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Q: TOPIC 1 Higher Derivatives Q. #1 Given f(x)=x² sin(√x), please find derivatives below. Hint: Always…

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Q: Find the area of the region enclosed byyy=2, and the y-axis.

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 30° 10 The height of a right triangle with base angle 30° and base 10 is

A: Given:

Q: 6. 7 dy dx dy = x² 1 + y² y

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1 b Given: (x is number of items) Demand function: d(x) = 370.3-0.4x² Supply function: s(x) = 0.3x²…

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Q: 1) Suppose velocity, v(t), of an object at time t is given by this piecewise defined graph. Assume…

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Q: Consider the functions z = 7e* In y, x= In (u cos v), and y = u sin v. dz əz (a) Express and ди of u…

A: Solution: ∂y∂u=sin v

Q: the equation. 29. y' - 2y = 1²e²t

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Q: If f(x) = 9³x² 48 √√√x 3, find f'(8). X

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Q: Convert the point from rectangular coordinates to spherical coordinates. (−5, −5, sqrt(13))

A: Given query is y to find spherical coordinates.

Q: əz Use the chain rule to find and Əs дz Əs дz at || n(=), z = tan əz at u = 5s + 9t, v = 9s - 5t

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Q: = x = 4√y,x= -7y, Use the shell method to find the volume of the solid generated by revolving the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Given the matrix 680 A = a 9 7 51 -1 3 " find all values of a that make the |A| = 0. Enter the…

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Q: •/ Integrate x3 √x8+4 dx Question Help: Video Submit Question + C

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Q: If f(x)=12pi^7, then what is f'(x) equal to?

A: We are given  f(x) = 12pi^7 derivative of constant is zero

Q: a) Test the convergence of the series (1+x)³ = 1+ 0.5 n=1 b) Given the function f(x) = (1+x)³. i.…

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Q: (a) Find the slope of the curve y=x²-3x -4 at the point P(3,-4) by finding the limit of the secant…

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Q: by a factor of 5 not 1/5?

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Q: 9x-7 2x²-3x+1

A: Topic - Partial fraction decomposition We are given 9x-72x2-3x+1

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

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Q: Find the slope, m, of the tangent to the curve y = 7 + 5x² − 2x³ at the point where x = a. 10a-6h² m…

A: Given query is to find the slope of the tangent.

Q: In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs.…

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Q: Preview Activity 10.4.1 Let f(x, y) = 6-2-², and let (To, yo) = (1,1). a. Evaluate f(x, y) = 6-2-y²…

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Q: Solve the exact differential equation (-5 sin(x) - y sin(x) + 4 cos(x)) dx + (cos(x))dy = 0 where…

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Q: Sketch a graph of the following hyperbola. Find the center, vertices, foci, and asymptote equations…

A: Given: x^2/ 36 - (y− 1)^2/4 =1

Q: What is the range of the function? y=log_(5)(x-1)

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Q: 3x²-3x+10 (x-2)(x²+4)

A: D=3x2-3x+10(x-2)(x2+4)3x2-3x+10(x-2)(x2+4)=A(x-2)+Bx+C(x2+4)

Q: Let the polyhedron P be defined by x1 + x₂ + x4 ≥ 2 -x1 + 2x2 4 3x2 - x3 ≤ 7 x3 + x4 -1 x2 > 0 X3 20…

A: Given: let the polyhedron P be defined by  x1+x2+x4≥2-x1+2x2≥43x2-x3≤7x3+x4≥-1x2≥0x3≥0

Q: ************** *************. *************... A company can produce LCD digital alarm clocks at a…

A: Given that company's cost function is C(x)=5x+45

Q: (-2i)+(4-3i) Write your answer as a complex number in standard form.

A: Given that : (-2i) + (4-3i) and we write this as a complex number in standard form.   We know that…

Q: Evaluate the integral. 216 1 x(x + 6)³ (Use symbolic notation and fractions where needed. Use C for…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) first, we need to find…

Q: 21° B = b≈ Note: Triangle may not be drawn to scale. Given the triangle above, answer the following:…

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Q: 45° 8 Q The height of a right triangle with base angle 45° and hypotenuse 8 is

A: Answer: The solution is given below:

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A: We are asked to find the function is not differentiable.

Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = 6 Make a…

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Q: 5. The length of a curve from x = 1 to x = 4 is given by [√₁+1 (B) y = ln x the curve contains the…

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