Solve 2log (x+ 1) =log (x) + log (x+3). Don't forget to check for extraneous solutions.

Q: Select the basic integration formula you |(15cos(7x))esin(7) dx e du u du cos(u) du sin(u) du Identi...

A: here we use substitute method so  u = sin7x du/dx = 7cos7x dx = du/7cos7x so put this value in equat...

Q: sin x dx 1-2 cos x

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Q: 4x + 1, x 4 (i) lim h(æ) (ii) lim h(x) = z+4+ (iйї) lim h(2) — (iv) justification Answer=

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given ∑k=1∞56k+2=∑k=1∞56k562                              =2536∑k=1∞ 56k This series can expressed i...

Q: The curve-4x - 3y3-7x + 5y = 2 is shown in the graph below in blue. Use the graph below to draw line...

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Q: 2. Find the equation of the plane tangent to the elliptic paraboloid z = point (1, 1,3). 2.a2 +y, at...

A: To find out the equation of the plane tangent to the elliptic paraboloid. 

Q: The table gives the required standard weight, w, in kilograms, of American soldiers, aged between 21...

A: If we make a graph of given table data then it will give a Linear graph increasing  .a. ) W increase...

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

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Q: z is jointly proportional to the square of x and the square of y. If z=364 when x=6 and y=5, find z ...

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Q: Find the derivative of each function using the definition of derivatives. Use the formula of defini...

A: derivative

Q: Parcel Post Regulations Postal regulations specify that a parcel sent by priority mail may have a co...

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Q: Find the moment with respect to x 2a the area bounded by x y and x2 = 2ay.

A: Given area is bounded by x=y and x2=2ay.  To find: Moment with respect to x=2a.   From x=y We get th...

Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...

A: Here, to evaluate the given integral use the trigonometric substitution. ∫x2(x2-36)32dx

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

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Q: In order to give the complete solution of a nonhomogeneous linear differential equation, a particula...

A: Complete solution of a non homogeneous differential equation is given by as follow. 

Q: Use the given graph of the function f. y (2, 10) 10 (-2, 6) (-5, 0) (5,0) -10 (0, 0) 10 X (-8, -4) -...

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Q: Use the quotient rule to find the derivative, h' (x), of the following function. 3x h(x) = 8 - 5x

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Q: Consider the differentiable functionf with f(4) =; and f'(4) = If g(x) = f(x²), then gʻ(2) = А. 1 B....

A: Given : f(4) = 1/2 f'(4) = 1/3 g(x) = f(x2) Find g'(2) = ? g(x) = f(x2)          (given) Differentia...

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: This is problem of sequence calculation. Based on the general formula and test available we will ans...

Q: Obtain a family of solutions for the following First-Order Differential Equations. 2(2x2 + 2y2 )dx –...

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Q: Graph the continuous function with the following properties. f is even f'(0) and f"(0) are undefined...

A: We have given some conditions:f is evenf'0 and f''0 are undefined but f' is differentiable everywher...

Q: Sz? - 5x + 1, -T 5 Evaluate the following limits for h(r) = and Justify your answer. (1) lim h(r)= ...

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Q: Question 2 Find the indefinite Integral of F (x) = A Eifraction numerator 17 x cubed over denominato...

A: F(x) = ∫ 17x3dx F(x) = 17x4/4 + c so form this we can see that answer C is right fraction numerator ...

Q: Öptimal Chapter-Flight Fare If exactly 218 people sign up for a charter flight, Leisure World Travel...

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Q: X=2 6. Evaluate x dx .2 ,x² +1 X=1 7. Evaluate |(xcos 3x) dx

A: using method of substitution in 6th and integration by parts in 7th

Q: 8. 6. If f(r) = 5 cot +4, then find the value of f'(-9) is -5 82 V82 82 V 82

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Q: 1. The relation that is not a function is a. y= b. y= c. y= v(x – 5) d. x? + y? = 25 2. Given g(x) =...

A: According to our company's guidelines I can only answer first three subparts of the question since y...

Q: 3. You may use your graphing calculator for this problem. Make sure to explain your answers, includi...

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Q: Find the derivative of f(x) = In (x* V8 – 6x), using the properties of the logarithm. Provide your a...

A: I have stated the used formulas in the solution 

Q: Find all values of x, xe[0,2n] where f(x) = secx has a horizontal tangent line

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Q: Evaluate the Definite Integral sin'y dy - Blank 1 Note, the answers should be three decimal places o...

A: ∫0π3sin3ydyconsider∫sin3ydylet u=cosydifferentiate on both sidesdu=-sinydy  since u=cosy  ⇒u2=cos2y ...

Q: Given the table of values below, find h'(1) if h(x) = g(x2 f(x)). f(x) f'(x) g(x) g' (x) 1 1 -3 -3 -...

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Q: 1- yy' = 2y– x;

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Q: Find ALL extremum of the function g(x) = xV4 – x (-00, 4]. Use both the derivative and on then Desmo...

A: To find out the extremum of the function. 

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. xe 401x dx ...

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Q: Suppose " f(x)dx = 8, f(x)dx = 10, S, g(x)dx = 4 , S g(x)dx = 5 Find : f(x)dx =? f(x)dx =? | [3f(x) ...

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Q: 3 Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = :-1 %3D 1- 2x Provid...

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

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Q: 1. f(x) = -2x – 1 %3D

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: Find the radius of convergence for 2" -(4x–8)" n n=1

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: 1. lim(2x + 4) x-3 2. lim f(x) if f(x) = {- ifx 1 %3! x² - 4x + 3 X-1

A: Here we will solve the given limits,

Q: Decide whether the integral is improper. ** sin(x) dx 60 + x2 -00 O proper O improper Explain your r...

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Q: Find the area of the indicated region. We suggest you graph the curves to check whether one is above...

A: The graph is shown below:

Q: Given the power series, (x +7)" determine if the convergence of the series at x = -9 is conditional ...

A: Here      an = (x+7)n2n n2-13⊙ Then putting x= -9 in an, we get:     an = (-9+7)n2n n2-13          =...

Q: One of the tables below represents a supply curve; the other represents a demand curve. Table 1 p ($...

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Q: Quantity 10 20 30 40 50 60 70 80 Cost ($) 120 360 620 740 1000 1340 1780 | 2520 3400 Revenue ($) 0 3...

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Q: Find the area of the triangle with vertices P(1,5, –6), Q(0, 0,0) and R(2,4,1). NOTE: Enter the exac...

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Q: Evaluate the following: 1. S"(1– x)e¬*dx

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Q: Q1) find dy/dx 1) F(x) = sin’2x tan x² x – 3 ) 2) F(x) = sin( x +4

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