Se3x-e*dx

Q: X. 13.76 cm 8.9 cm Find the value of X in the triangle.

A: Note: As per company guidelines we are supposed to solve only 1 question. So, kindly repost others  ...

Q: (a) Using the divergence theorem show that F-nds = 0, where F(r, y) = yi – rj and D is a unit disc. ...

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Q: (b) Let F be the vector field F = (xy, yz, zx). Let S denote the part of the paraboloid z = 4 – x2 –...

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Q: graph of f is shown in the figure. The shaded region A has an area of 1.5, and f(x) dx = 4.5. Use th...

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Ki...

Q: Given enough food and space, a colony of yeast increases at a rate proportional to its population. A...

A: according to our guidelines we can answer only three subparts and rest can be reposted.

Q: valuate the triple integral ff rdV, where E is the region in the first octant bounded by the parabol...

A: We will first find the limit of integration.

Q: 5) Find critical values of the function. If they exist label as a max/min. Only use f' and keep answ...

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Q: [MMRU] You have taken the job to construct a trapezoidal perimeter around a farm with 4200 mof fenci...

A: Topic  = Area 

Q: 1 Find the surface area of the paraboloid z= (2 + y?) that lies between the sphere x² + y² + z² = 4 ...

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Q: A right angled triangle ABC has sides AB=5, AC=3 and CB-4. If the right angle is at C, calc ulate Co...

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Q: Find fsh r div poive 2 40) f"&) = 20xs +12x²+4, f(O) = 8, f() =5 %3D

A: topic - integration f(x) = x5+x4+2x2-7x+8

Q: ROBLEM 1: Evaluate the integral ,(1 – x – 4x° + 2x*) dx a) Analytically b) Single application of tra...

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

Q: 1.5 Prove that le-2| 0.

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Q: 3, Find f(x+h) when f(x) = -3x²+2x +5 %3D

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Q: In some designs of eyeglasses, the surface is "aspheric," meaning that the contour varies slightly f...

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Q: 5. L-1(++: = e-2x + cos 2x +sin v3x V3 = e s+2 s2+4 s2+3/

A: From the given problem: L-11s+2+ss2+4+1s2+3=e-2x+cos2x+13sin3x As we know that: L-1a·fs+b·gs=a·L-1fs...

Q: The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) U...

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Q: Find the general solution: [D^4 + 8D^3 + 25D^2 + 36D + 20]y = 0

A: Given differential equation is, [D4 + 8D3 + 25D2 + 36D + 20]y = 0 We have to find the general soluti...

Q: The population of a certain municipality increases at the rate proportional to the present populatio...

A: topic - exponential function in 200 years , population will reach 160,000

Q: Find the value for the function; Find f(x+ 1) when f(x) = x^2 -6/x-3

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Q: A triangle has sides which are 12 x 5cm, 30c m and 32 x 2cm in length. Is it right angled? (indicate...

A: Given problem is :

Q: Higher Order Linear Differential Equation solve for Yp (D3+D2-5D)+3)y=e-3x+4ex

A: Follow next step

Q: Solve y' = yx² by using power series without recurrence method.

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8 cosh(x) dx

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Q: Find the area bounded by the following curves. y=x", x= -1, x = 2, y= 0 The area is (Simplify your a...

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Q: Consider the function f(x) = 7( – 5)-. For this function there are two important intervals: (- oo, A...

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Q: Find the first three nonzero terms of the Maclaurin series for the function and the values of x for ...

A: Maclaurin Series for f(x) is given by             f(x) =f(0)+xf'(0) +f''(0)x22!+f'''(0)x33!+...

Q: Evaluate the definite integral. 'al/3 x5, х6 + а? dx (a > 0)

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Q: One hour after a bacteria colony starts growing, a scientist determines that there are 9000 bacteria...

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Q: 3. Let C be the part of the circle with radius 3 in the first quadrant as in the picture. 3. (a) Fin...

A: To solve the following paramteric equation problem

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the ar...

A: Here, the function is: g(x)=2x2-x-1; [3,5] To use 4 rectangles to approximate the area below the cur...

Q: $6,000 is invested at a rate of 2% compounded continuously for the first 2 years, then at a rate of ...

A: We will use continuous compound interest formula.

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 2/3) dt

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Q: dy Find by implicit differentiation. dx 2x2 + 2y2 = 17 %3D

A: Topic = Derivative

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.

A: Given : Radius of the given circle is r.

Q: 21. The fuselage is 57m long and 5m in dia meter and can be assumed to be flat ended cylinder. It wi...

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Q: Find the Taylor Series of the given function centered at the indicated point. 1/(x-1)^2 at a = 0 (...

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Q: S Invt dt

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Q: In a small business, if you invest "x" dollars in labor, and "y" dollars in machinery and equipment,...

A: Here we find the maximum production. 

Q: Use the following geometric power series -1<z<1 1-z to find a power series representation for f(z) =...

A: This question is related to power series.

Q: 30,000 cm2 of material is available to make a box with a square base and an open top, find the large...

A: We have to find the largest possible volume of the box.

Q: Pluto is a dwarf planet in the Kuiper belt, a ring of bodies beyond the orbit of Neptune. The former...

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Q: polynomial functions: 1. P(x) = x -3x-4 Positive Zeros Negative Zeros Imaginary Zeros

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Q: Second order non-homogeneous ordinary differential equatic y" + y' – 2y = x² – x+e* (a) Show the com...

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Q: Use the Second Fundamental Theorem of Calculus to find F '(x). F(x) = + 9 dt F '(x) =

A: From the second fundamental theorem of calculus, If F(x)=∫axf(t)dxThen,F'(x)=ddxF(x)=f(x) Given, F(x...

Q: Optimization problem The average cost per unit when producing x units of a commodity is given by the...

A: Solved below

Q: 9. If a, b, c are all distinct, then the equations (b – c) x + (c - a)y + a – b = 0 and (b³ – c³) x ...

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Q: Higher Order Linear Differential Equation solve for Yp D3+4D2-7D+2=0

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Q: (xL* dt) and simplify to its simplest form. In 3t 4.1 Find 4.2 Use L'Hôspitals rule to find lim (cos...

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Q: Find the area bounded by the indicated curves. y=x",y 2-x, x = 0 (x20)

A: Given the curvesy = x2 (red line) ,  y = 2-x (blue line) and x = 0 [green line] (x≥0 )Check the abov...