Question 4 The inventors of Calculus were Sir Isaac Newton and_ A Friedrich Gauss B) Gottfried Wilhelm von Leibnitz O Pierre de Fermat D Rene Descartes E none of the given choices

Q: Prove: 0 =- 1 Proof 1: sin x tan xdx = [ cos x 1 u = cos x dv = sin xdx sec x du = sec x tan xdx v=-...

A: Solution is given below:

Q: Integral Calculus Solve in detailed solution. A. Í (4x°+x) v4x²+1dx B. Í(x+2) Vx+3dx

A: (A). The given integral is: I=∫4x3+x4x2+1 dx

Q: Determine whether the integral is convergent or divergent. 2 dy 4y - 1 convergent divergent If it is...

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Q: q7

A: We will solve the Differential equation. 

Q: know what the derivative of e^(g(x)) is and what the derivative of In(g(x)) is. I.e. the chain rule ...

A: From chain rule  If g(x) is a differentiable function, then the derivative of eg(x) is g'(x)*eg(x) ....

Q: sec?xdx Evaluate the given function ſ 1-4tanx

A: put 1 - 4 tan x = t , differentiating with respect to x      d/dx(1 - 4 tan x) = dt/dx      d/dx(1) ...

Q: what is the differential coefficient of x.

A: To find differential coefficient of x we need to differentiate x with respect to x.

Q: 2y" + 7t y' + 9y = 0 betermine the Characteristic Equation for the Differential Equation and then So...

A: Topic:- differential equation

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: Find the derivative of the vector function r(t)=ta×(b+tc), where a=⟨3,−2,−3⟩, b=⟨1,3,−2⟩, and c=⟨−2,...

A: To find the derivative of the vector function, rt=ta×b+tcWhere, a=3, -2, -3, b=1, 3, -2, and, c=-2, ...

Q: A pyramid of height 500 ft has a square base 800 ft by 800 ft. Find the area ? at height ℎ....

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Q: Use algebra to simplify the expression before evaluating the limit. In particular, factor the highes...

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Q: g(t)=4t^3+3t^2, find g’(3)=

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Q: Verify that the area under the curve y = 1/x from x = 1 to x = m equals 2m, the area from x = 3 to x...

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Q: Find the 10th term of the arithmetic sequence -2,1, 4, ... Answer:

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Q: Write the trigonometric expression as an algebraic expression in u. cot ( cos 'u) cot (cos 'u) = (Ty...

A: Inverse function

Q: Suppose that f(x) = 11x² + 4x. Find: (A) f'(x) = (B) The slope of the graph of f(x) at æ = 2 and æ =...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-  parts for...

Q: 1+1=?

A: Given that we need to find the value of the following expression.

Q: D Find a singular saluhion of DE: %3D

A:

Q: Find the solution of the differential equation (x+ Vy² + 1)dx – (y - ху dy = 0 %3D Vy2+1,

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Q: Question 7 04 d0 =+C 2 A True (B) False

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Q: 2. Evaluate the following functions using the given relations. f(2) = -1 ; Relation: f(n+1) = 5 - [f...

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Q: Q = 6x + 3xy + 2y

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Q: 2. 2. 1. 14) sin- 16) sin-. 18) cos -1 20) cos 2.

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Q: 8.Detormire the maximom num bec of Furning poinds Of .

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Q: e' sin 0 dy 8. de 7.3:8 Solve the differential equation y sec 0

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Q: Determine the particular solution of y"– 3y'+2y= 4e"; y(0)=-3,y'(0)= 5 using Laplace and Inverse Lap...

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Q: csc xcot x sin(csc x )dx

A: ∫cscx cotx sin(cscx) dx

Q: Find   Where C is the boundary of the area bounded by the graph y = 3x and y = 4-x2 with a positiv...

A: We know that Green Theorem state: ∫CPdx+Qdy = ∫∫D∂Q∂x-∂P∂ydA

Q: Sequences: A sequence is of the form а1, а2, аз, а4, ... where the an are real numbers. Technically,...

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Q: (4x^4+x^3(y)+y^4)dx+x^4dy=0, Solve for HOMOGENOUS DE

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Q: Determine the gradient of the curve 3xy + y² = -2 at the point (1, -2)

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Q: There is a large mixing tank that initially holds 120 gallons of brine (water in which salt has been...

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Q: find S z (Inz)? dz

A: Given,            ∫zlnz2dz

Q: QUESTION 4 Given f(x) = 8x³ + 2x. Estimate the value of ƒ(2.01) using differential. %3D

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Q: f(x.y) = xy' - 2x, P = (1, 1) 2.3 (a) In the direction of v (3.3) (b) In the direction toward the po...

A: Q(18).    Given f(x,y)=x2y3-2x, P=(1,1)

Q: Evaluate the integral. 0.4 x2 dx 4 - 25x2 |

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Q: Determine the general solution for the given higher order differential equation. dz (D² + 16)³(D² + ...

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Q: Determine whether the sequence an 13 23 n3 converges or n4 diverges. If it converges, find the limit...

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Q: B Given that V · W = 4, V x w = ,V] = 10and |W = 8. The exact numerical value value of 2V (3V-2W) is...

A: We need to find b,c,d,e.

Q: (1-))csc²( 1– y)dy

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute  ............

Q: 3. Find the 8th term in the binomial expansion of (x² + y³)10. correct combination, evaluating combi...

A: We will find the 8th term. 

Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 ...

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Q: Write a formula for the nth term an of the sequence and determine its limit (if it exists). It is un...

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Q: According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural len...

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Q: Consider the vector function r(t)=⟨t,t^2,t^4⟩ Compute r′(t)=⟨  ,  ,  ⟩ T(1)=⟨  ,  ,  ⟩ r′′(t)=⟨  ,  ...

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Q: if 2 and gcx) -X and h =1-2X %3D Find, fog fog, gof, gog, gofoh, fof > fof .

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Q: The graphs of f '(x) and f ''(x) are attached below. Locate the x-values where f (x) has a point of ...

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Q: Find the general solution of у" -у - бу %3D 6х3 + 26 sin 2x

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Q: Зх — бу — 2z %3D 1 2х — 4у + z %3D 17

A: We can use an augmented matrix to solve the given non-homogeneous system of equations.