The scientific notation of the number 0.0023 is 2.3×10-3 صواب خطأ

Q: The reverse order of 4 So Say ex² dxdy is equal to e-1 8e None of them

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find d)  The open intervals on which f is concave…

A: Given problem:- Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find   d)  The open intervals on…

Q: Vector-valued function R(t) = 1. Reparametrize R using the directed arc length s from the reference…

A: We have to solve a part 1 and part 2.

Q: (12) Sz sec¹z dz.

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Q: Find the values of p for which each integral converges. 2 80 dx dx b. x(In x)P x(In x)P GELEH 2 dx…

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Q: 3 [²(x²) dx 0 Using the definition of definite integral, ff(x)dx= lim f(x) Ax, and the given…

A: Given, ∫03x2dx

Q: The length of a rectangle is given by 4t - 3 and its height is √2t, where t is time in seconds and…

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Q: 7. The particular solution of (D³ - 5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

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Q: 7. Which of the following is the differential equation satisfied by the given by the particular…

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Q: 15. The piecewise function -t+ + 0 st < 1 f(t) = ²+1 1st <2 -3 t22 can be expressed in terms of a…

A: This is a problem related to heaviside function which is also known as step function. Based on the…

Q: Find the domain of R. R(t) In(1 t) √t+1, e-¹/|t| {(VEFT, 0-10m, bu(1-2)}) t = (1,0,-1) " , if t #0…

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Q: Calculate y'. y = ln(x ln x)

A: Given: y=lnxlnx

Q: Find the derivative of the parametrically defined curve (t) = 2 cos(4t), y(t) = sin(4t). dz 4cos4t…

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Q: dx x² - 4x + 19

A: Given,  ∫1x2-4x+13dx

Q: In a polynomial, a number in front of the variable is called exponent. صواب ( خطأ

A: Given ,  In a polynomial , a number in front of the variable is called exponent  We have to tell it…

Q: .b if f is continuous on [a,b], and f(x) 20 then √VF(x) dx = f(x) dx T True F False

A: Topic: application of integration

Q: 10. The current to a projection lamp is measured at 4.7 A when the line voltage is 115.45 V. find…

A: 10)  P=VI P=115.45*4.7 P=542.615 watt(w)

Q: At what points does the helix r(t) = (sin(t), cos(t), t) intersect the sphere x² + y² + z² = 82?…

A: This question can be solved by putting x=sint, y=cost, z=t in the equation of sphere to obtain the…

Q: cot3x Lim x-o cotx 0

A: Let's find limit of given function.

Q: 3. The Critical Point of y = xe-*

A: Answer :-  We have to find the critical point of y = xe-x

Q: 2. f(x, y, z) = exyz² Find fxyz

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Q: Find the area bounded by the curves y=sinx, y=cosx between x=0 and x=π/2. PLEASE INCLUDE HOW TO GET…

A: To find out the area bounded by the curves.

Q: Find the volume of the solid obtained by rotating the region bounded by the given curve about the…

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Q: Applications

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Q: (a) dy Given 4 sin 3x + 2exy = (2x + y)³, find dx

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

Q: 15. The piecewise function -t+ 0 ≤ 2 can be expressed in terms of a Heaviside function as:

A: We are given a piecewise function  f(t) =-t       0≤t&lt;1t2+1      1≤t&lt;2-3               2≤t…

Q: cx+ln x Determine the equation of the tangent line to the graph of f(x) = [" = cosh (√2t - 1) dt at…

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Q: 1. The Maximum point of y=

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Q: Sketch the region enclosed by the following curve and find its area. x = y^4, y =√2 − x, y = 0

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Q: So 0 Evaluate the integral, if it exists. exc 1+e2x dx

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Q: Find the number k> 0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

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Q: A lumbering battle tank's treads applied wildly varying forces in order to propel it to move…

A: We know that,  Work = force * displacement    W = F * x  = 10x(1-e-0.03x2+0.2cosx)

Q: z = xey + yex, Find əz əz дх'ду

A: Given: z=xey+yex To find : ∂z∂x,∂z∂y For ∂z∂x, we have to do the partial differentiation of z with…

Q: Find L(te²t sin 3t)

A: Ltsin3t=2(3)s(s2+32)2               Ltsinat=2as(s2+a2)2               =6s(s2+9)2 Now,…

Q: y = x² - 6x² + 8x and y = x² - 4x. 2. Find the area bounded by the two curves y:

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Q: Question 2 Given a differential equation as करवर d'y dy dx² +6x +6y=0. dx By using substitution of x…

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Q: 4 2 ["S² sinπTy ³ dydx

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Application of integration

Q: 5. Given z = arctan (), Find az/ay

A: We can find the partial derivative wrt y as below.

Q: 7) Find f(x) if f(x) = (103x + 2)2. a) 6 In 10 10x + 4 b) 6. 106x 105x + 3 c) (6x + ○ 4) 4) 106x d)…

A: Topic:- application of derivatives

Q: A colony of the bacteria B. dendroides is growing in a petri di area A (in square centimeters) can…

A: Here we have A colony of the bacteria B. dendroides is growing in a petri dish. The colony's area A…

Q: Question 8 Using Simpson's method 2 √ ²x³ dx for n = 4 is equal to

A: Simpsons rule

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: We have to solve  part 1, 2 and 3.

Q: II. Solve the following problems. Enclose final answer. 3 3. The Critical Point of y = xe-*

A: The critical points can be obtained by letting its first derivative equal to zero.…

Q: Compute the partial derivative of the function * with respect to z at the point (1,0, 7). Compute…

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Q: 2. Simple Chemical Conversion Radium decomposed at a rate proportional to the quality of radium…

A: This is a problem related to decay law. Based on the general formula and concept we will answer the…

Q: zze Find of z = In(xy) a²y

A: Topic:-  application of derivatives

Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

A: Given that the width of the sheet is = 4108 inches. On each side turn up 108 inches. So the length…