x+5 lim x→2 x´ – 4 x+5 lim x→2* x? – 4 x+5 lim 2 x→2 x² - 4

Q: Given f(x)=3x+8, evaluate (f(x))^2

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Q: evaluate the definite integral of " sin^2{x} " from [-pi, pi]

A: We will use the reduction formula to solve given definite integral

Q: 2. The voltage coming from the electricity distribution company is fluc- tuating according to the fu...

A:

Q: 2. If P(0) is a point on the unit circle and 0 (0)? , what is the coordinate of P

A: Given query is to find the coordinates of p.

Q: 3tan a sec2 x dx tan x 2

A:

Q: 5e3* dx 9-12e3* + 4e6x ,3x 6.

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Q: Find the length and direction (when defined) of u xv and vxu. u= - 12i + 8j – 20k, v = - 3i + 2j - 5...

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Q: Show that sin 3x and cos 3x are orthogonal on [−π, π].

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Q: lim (4.x – 3) = 9

A: The given limit,      limx→34x-3=9

Q: Table 1 describes features of wave and heat partial differential equations. Partial differential equ...

A: The given equation is: u(x,t)=eπ2t sinπ-4x

Q: The line L has parametric equations x = 6t – 7, y = –2t – 3, z = t – 3. The line L2 has symmetric eq...

A:

Q: Find the radius of convergence of the following power series. (Зх — 6)" - .6 n=1

A: The given power series is ∑n=1∞(3x-6)nn6

Q: 1 Find lim +3 using limit rules. 2.

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Q: x2 + 24 The partial fraction decomposition of can (х — 3) (22 + 4) f(x) be written in the form of x2...

A: Solving the problem by doing the fraction decomposition.

Q: a) Sketch the entire region bounded between the curves y = 1 +√x and y =(3+x)/3, determine their i...

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: 3tan a sec? x dx (4+3tan=)* 2

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Q: Find the area of the shaded region. 5 cm 5 cm 18 cm 11cm 4cm 2 cm

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Q: 2+cost Use IVT to show that g(t) = [0.7]. takes on the value 2.5 in the interval 1+ sin t

A:  By using IVT we have to show that g(t) takes on the value 2.5 in the given interval.

Q: 9.) f(x) = (2x + 1)* %3D

A: The given function is: f(x)=(2x+1)4

Q: Determine the vector of magnitude 7 that has the opposite direction of ū = -4î + 13ĵ – 16k.

A: We can find the required vector as below

Q: Determine if the equation (dfferential form) is exact and find the solution if it is  (2yln(x))dx+(...

A:

Q: The demand for a certain commodity is -05x D(x) = 6000e %3D units per month when the market price is...

A: To find out the rate of consumer expenditure. 

Q: 5 1 from y = 1 to y= 2. 3 12y Find the length of the curve x =

A: NOTE: Refresh your page if you can't see any equations. . for simplicity interchange the variables

Q: 3 2. Solve for x in the proportion x+4 ||

A: Given: 3x=5x+4

Q: The domain and range of the following function f (x) =D (-00, -1] U (1,+ 00) O (-00, -1) U (1,+ o0) ...

A:

Q: et H(x) = 3f(x) + 4g(x), where the graphs of f and g are shown in the figure to the right. Find H'(1...

A: Topic:- calculus

Q: An automobile's velocity starting from rest is given by the equation below, where v is measured in f...

A: Given query is to find y the acceleration at different times where v(t) is velocity.

Q: 5. Use the given information to sketch the graph of the function f. (-0,–2)U(-2,2)U(2,0) all real ex...

A:

Q: hoology. Part I. Multiple Choice Directions: Choose the letter of the correct answer. Justify your a...

A:

Q: Given f(x)=3x+8, evaluate (f(x^2))

A: f(x)=3x+8 Substitute x=x2 in f(x)

Q: (b) Evaluate 1 dx using Romberg's S. 1 + x2 hence obtain an approximate value of T.

A:

Q: )) find the volume of the solid obtained by rotating about the X-axis the region bounded by the curv...

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Q: Consider the graph of f(x) given below and compute the limits. 15- 10- -10- -15- 4. lim f(x) 5. lim ...

A: Graph of the function f(x) is given we have to find the given limits

Q: E ind The Domain and Rana y=X+2 x²- 3 131

A: A detailed solution is given below.

Q: Solve what is being asked During a leap year, the number of hours of daylight in a city can be D(t) ...

A:

Q: The height  (in feet) at time (in seconds) of a ball thrown straight downward from the top of a -foo...

A: h(t) =-16t2-30t+600diff w.r.t  "t"dhdt=-16(2t)-30+0dhdt=-32t-30 ⇒ v(t) =-32t-30 ; t1=1,t2=3  

Q: 2xy// + (x + 1)y/ +3y = 0

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Q: Find the derivative of ?(?) = −7 cos(4?). using the chain rule

A: We have to find the derivative of given function using chain rule in differentiation.

Q: Find the integral and show the complete solution using u-substitution

A: The given integral is: I=∫sin3(2x) cos(2x) dx

Q: Find the first and second derivatives of the functions in Exercises q² + 3 p = (q – 1) + (q + 1) -

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Q: Evaluate the following limits.

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Q: A cylindrical tank of radius 5m and height 18 m that tank two third filled with Liquid (Liquid asity...

A: Follow the procedure given below.

Q: The horizontal asymptotes of the curve 9x y = (zª + 1)'/4 are given by and Yı Y2 = where y1 > Y2-

A: Here, the given function is: y=9xx4+114

Q: Find the equation for the plane through the point Po = (8,4,8) and normal to the vector n=2i + 2j + ...

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Q: 5+ I 2 3 4 5 а. Find the x value k at which the function has a removable discontinuity. b. What valu...

A: Given a graph of function f(x) needs to verify its continuity.

Q: Evaluate the given indefinite integral. Indicate u, n, and du. xdx хах 3-x

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Q: Find the curve having the given slope that passes through the indicated point. 2). y' 3 х2 — 2х - 4,...

A: Question 2,Given,            y'=x2-2x-4 , 3,-6To find : The curve using the point and slope.We know ...

Q: 1) Sketch the graph and test the symmetry of the following : r = 10 r =-14sin 0 p? = 9sin 20

A:

Q: A tank initially contains 50 gal of sugar water having a concentration of 2 lb of sugar for each gal...

A: Given:   A tank initially contains 50 gal of sugar water having a concentration of 2 lb of sugar for...

Q: From the following table of values of x and y, find \F(dy,dx) d?y dx2 and when x = 5-5: 4-5 5-5 | 7 ...

A: From given table