Find the sum of the first 100 whole numbers?

Q: Given the function f(x) = {2ª 2x x 2 which statement is FALSE at x=2? O The derivative from the…

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Q: Calculate 14. lim (√x² + 1 - x). X18

A: Using series expansion about x =inf

Q: 2 sin6 x cos⁹ x dx 0

A: See the details solution in below

Q: Q1- Find all the second-order partial derivatives of the function: s(x, y) = tan-¹(x)

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Q: A particle start its motion from rest under the action of constant force. if the distance covered in…

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Q: KIN T 2 sin² x cos⁹ x dx

A: We will solve integral using Wallis formula  The wallis formula is :

Q: Find the extreme values of the function f(x) = (x² + 2x)³ on the interval [-2, 1].

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Q: Jiven the differential equation statement. || ;;y(1) = π. Choose the correc dx 2y+cos y A. Solution…

A: We have to find the solution

Q: dy dx If y = (sin x)¹/, then (sin x) ¹/x In(sin x) x² (sin x) ¹/x x - ln(sin x) x² x cotx - In(sin…

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Q: dy The solution of the differential equation - y tan x = dx -cos*x sin²x A. ycos²x = + c C. y³ cos³x…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: || True False

A: Topic:- limits

Q: Complete the parametric equations of the line through the points (7,3,-5) and (0,6,1) x(t) = 7 - 7t…

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Q: (2x²9x9)dx x3 x³ - 9x

A: Here we have to do partial fraction and after that integration

Q: What is the mass of body if the exerted force of 10 N is accelerated by 5 m/sec^2? O 4.5 kg 1.5 kg O…

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Q: f(x csc² 4x - x cos 4x)dx

A: The answer is given below:

Q: Select the correct answer to the following problems: a) f(x) f(x) dx ○ f(4) 00 ○ f(0) f(x-4) f(x)dr…

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Q: PO: Given the surface 2 cos xexây 5 y a) find of the question of the tangent plane to the surface…

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Q: 1. Use the Cauchy-Riemann conditions to find out whether the following functions are analytic. a.…

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Q: 6dx S: ³√x² x-

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Q: Solve the following system: 2x + y - 3z = -3 x + 3y - 4z = 11 x + 8y-9z = 5 (2,-1,0) no solution

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Q: A wall lamp is positioned 7ft up a wall. A 6ft tall woman walks directly towards the light at a…

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Q: Evaluate using Partial Fraction Decomposition: (y+1)²(y−1) dy f

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Q: 1 -dx 1-x²

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Q: (2) Consider the function where a, b are constants. g(t) = if t 1

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Q: A rectangular field is to be enclosed with a fence. The available fencing material is 150 meters…

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Q: Question 2. Evaluate the following integral ² 2 0 C. C z² dz dy dx. Show all your work!

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Q: Classify the critical points of h(x, y) = x²y + xy² + x²y² + xy³ found in the previous Question by…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: 2dx x √x² 3√x² 2

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Q: How firel the center, foci, vertices and eccentricity for the following equations! x+4y²-4x-8y +4=0…

A: Concept: Ellipse: The equation of the ellipse with center at (h,k)  (x-h)2a2+ (y-k)2b2 =1 Hyperbola:…

Q: Q1- Find all the second-order partial derivatives of the function: s(x, y) = tan-¹(x)

A: partial differentiation

Q: If dx = e-²y and y = 0 when x = 5, then the value of x when y = 3 is dx e6 +9 A. e5 C. 2 B. e6 + 1…

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Q: Evaluate using Partial Fraction Decomposition: (- 2. -dx

A: Use partial fraction to evaluate the integral

Q: .) Find the limit or show that it does not exist. lim √25t²+2-5t 1-x

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Q: find dy/dx y = cos(etan 3x)

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Q: Water is poured at a rate of 10 cubic meters per minute into a conical tank 6 meters across the top…

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Q: Find a plane containing the point (5,-6,-3) and the line x(t) y(t) z(t) = = = - 4 - 7t 1 -8t 3 - 4t

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Q: A manufacturer of boots for a slalom water ski has a production cost of $30 for each boot. The cost…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: If z is a variable, then the infinite series of the form is called n Σ" =a + a₁ + ª₂x² + ... + ª₂x”…

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Q: If f'(x) = g'(x) for 0 < x < 1 then f(x) = g(x) for 0 < x True False

A: Topic:-  application of derivatives

Q: Q4- Solve the following differential equation: (1+x²)dy + (y - tan-¹(x)) dx |dx = 0

A: To solve the following differential equation: 1+x2dy+y-tan-1xdx=0

Q: of the given conditions. lim f(x) = ∞, Sketch the graph of an example of a function f that satisfies…

A: Topic:- limits

Q: (2y cos y - x secy-x tan y)dy = (1 + sin y) dx

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Q: x² Evaluate using Partial Fraction Decomposition: f(x+1)²(x-1) dx

A: To evaluate the given integral by using Partial Fraction Decomposition. ∫x2x+12x-1 dx

Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny Live Love ex+y dxdy 0

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Q: 2. A water treatment plant processes gray water at a rate given by r(t) = 16e0.2t million gallons…

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

Q: π/4 Evaluate the integral [(3 sin t) i + (2 + cos t)j + (5 sec² t) k] dt. -π/4 The result is ₁+0+0…

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Q: If f is continuous and ƒ(5) = 2 and ƒ(4) = 3 then lim ƒ(4x² – 11) = x→2 True False

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Q: The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity…

A: The position of a particle is r(t)=2 lnt+1i+t2j+t22k

Q: Consider the initial value problem y' + y = 5 + 2 cos 2t, y(0) = 0. 4 a) Find the solution of this…

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Q: Derivative app The given rectangle has a perimeter of 60cm. Find the values of x and y that result…

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