Determine the set of values of the continuous function defined by the formula: a) f(x)=cos sin

Q: rectangular carpet has an area of 220 yd^2 .The width of w is 9 yards less that the length l.find th...

A: Options are wrong I have given you correct answer

Q: 1. An inverted conical tank with 14 m height and 6 m radius at the top is full of water. Calculate t...

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Q: Create a bucket by rotating around the y axis the curve y = 3 ln(r- 1) from y = 0 to y 10. If this b...

A: Given: Create a bucket by rotating around the y-axis the given curve, y=3lnx-1 from y=0 to y=10 Dens...

Q: e Σ k=1 3.

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Q: 20. Given: S 10 -dx Find: formula

A: Here we have to integrate the given function.

Q: Some scientists believe that the average temperature of the world has been rising steadily. The aver...

A: We have to find slope and T - imtercept And T (surface temperature in 2050) 

Q: u du Form Answer Ex. S 3+ 2cosx 5sinx 5 -5V3+ 2cosx + C dx 3+ 2cosx -2sinxdx ī du 3 15. Given: S -dx...

A: This is a integration problem

Q: 6. Which of the following is not true about function? a. Function is composed of two quantities wher...

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Q: Find the Taylor polynomials of orders n = 0.1, 2, 3. and 4 about x = 20 and then find the nth Taylor...

A: f(x)=2xx0=-1

Q: What is the balance after 1 year in an account containing $1000 that earns a yearly nominal interest...

A: This question can be solved using the concept of compound interest.

Q: Assume that sin(z) equals its Maclaurin series for all x. Use the Maclaurin series for sin(72) to ev...

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Q: 1 dz 4z z z

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Q: 7. Determine f (x) so that | cos(In°x) f (x) dx = sin(In²x) + C 2 In x In x (а) 2 In x (c) - (d)?

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Q: Evaluate the integral tan 4x S- Vtan? 4x – 24 In/tan 4x + /tan² 4x – 24| +C O 1 sec 4x +C Arcsec 5 O...

A:     14lntan4x+tan24x-24+C' =14lntan4x+tan24x-24' +C' =sec24xtan24x-24+0=sec24xtan24x-24 So, the firs...

Q: y 4 3 2 -3 -2 -1 2 3 4 5

A: Using simpson rule with n=4 .   

Q: JUX² +2x-8 dx Evaluate lx + 1Wx + 1)* + 9 = l(x + 1) + Vtx + 1}² – 9|]+c 9ln (+ 1)/(x + 1)² – 9 – 3l...

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Q: d*y 4. Find 5 of the function f (x) = - e dz"

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Q: f = f (x, y) = u? + 3v, y = uv

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Q: Question 2: Illustrated below are two tangent lines drawn at 2 different points on the curve whose f...

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Q: V9 – x2 Consider the function f(x) = 3 Let R be the region bounded by the curves y = f(x) and y = 0 ...

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Q: Let​ C(x) be the cost function and​ R(x) the revenue function. Compute the marginal​ cost, marginal​...

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Q: dx The integral | can be rewritten as V1. - X (a) lim (-2+2v1 – s) (b) lim (-1+2v1 – s) S--00 S--00 ...

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Q: What is the resulting integrable form of evx+I x+1

A: We have to find value of given Integral.

Q: 1. Consider the integral | 2nx g(x) dx. There is a function g(x) such that when u = In x the resulti...

A: Given integral is: ∫2ln x g(x) dxsuch that for u = ln x∫2ln x g(x) dx=∫2u duFind g(3) This can be ev...

Q: Evaluate the integral tan 4x S- Vtan? 4x - 24 O 1 Arcsec sec 4x + C 5 sec 4x + C 5 O 1 Arcsec 20 1 A...

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Q: 4x3 %3D 1. mtegrate. de - aya dx 4x3 du = 4x° dx %3D Jxt -2 xp: こ -112 du te 2(x*- 2) ° +C %3D %3D

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Q: Use the shell method to set up a definite integral (set up only, do not evaluate the integral) for t...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: 1 6. Evaluate the given integral using suitable substituion COs(V도+ 3) dr

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Q: By inspection, find the following integral 1 dx 2(5 – 3x)

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Q: 5. Consider the function below. Is g continuous on (0,1]? on (4,1)? Why or why not? if x 4.

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Q: x2 Sketch the curve of y %3D (х-2)(х-6)

A: According to question,Given function,y = x2x-2x-6

Q: (2y^2+3xy-2y+6x)dx+x(x+2y-1)=0 Solve this differential equation

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Q: 4. Ifu = f(x), then : dx = J x* + 2x² + 1 k + C for some constant k. x² + 1 Compute kf (1). (a) ¼ (b...

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Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: Which among the following is an improper integral? 1 A x[In?(3x) – 4] Inx x[In*x- 1] ` .0.5 1 dx -0....

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Q: Write an equation for a rational function with the given characteristics. 4, x-intercepts at (-4,0) ...

A: Explained below 

Q: the

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Q: 3. The area of the region under the curve y = 6z bounded by the lines z = 3 and z = 5 above the I-ax...

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Q: The volume, V, of a sphere in terms of its radius, r, is given by V (r) = Tr³. Express r as a functi...

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Q: S- V3e2x - 2e-2x VZe-2x +C Arcsin 2/3e2x - 2e-2x +C 2x +/2e¬4x +C 2/7 O 12 -Arcsin 3e2x +C

A: ∫e-x3e2x-2e-2xdx Solution :∫e-x3e2x-2e-2xdx ∫e-xex3e2x2-2dx 12∫132e2x2-1dx let ,32e2x=t32e2x2dx=dtdx...

Q: Find the Laplace transform of the function ( 3, 0<t<5 ( 0, st<0 f(t) NOTE: Express the answer in ter...

A: Laplace transform

Q: Find the radius of convergence and the interval of convergence. El-1)«(# + 2)2*+1 k2 + 4 A=1 Radius ...

A: Given series ∑k=1∞(-1)k(x+2)2k+1k2+4 want to find radius of convergence and interval of convergence 

Q: To determine how fast a change in weight will occur, the most plausible assumption is that is propor...

A: Given that dwdt is proportional to the net excess C-19.25w

Q: O A) (-1, 1) B) (-o, - 2) U (0, 2) O C) (0, co) O D) (-o, 0)

A: A function f(x) is decreasing on [a,b] if the graph f'(x) is moving downwards on [a,b]

Q: dx The integral can be rewritten as 1- x (a) lim (-2+ 2v1-s) (b) lim (-1+2vī-s) S--0 (c) lim (-2+v1–...

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Q: Given: (2x3 (3- 5x4)’dx Find: Formula Ju'du 1 Ju'du 10 -2 |u'du 02 fư'au 2Ju’du

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Q: 6. The number x, 2x + 7, 10x - 7 forms a Geometric Progression. Find the value of x A. 5 B. 6 C. ...

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Q: A vertical wall makes an angle of radian measure ?r with the ground. A ladder of length 20 ft is lea...

A: Let's find. 

Q: From the definition of the derivative of f(x) as f (x+h)- f(x) f (x)=lim h→0 h derive a formula for ...

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