1. FIND THE AREA BOUNDED BY THE CURVES X= 2Jy and y %3D

Q: 4 sec?x dx 2. tan?x+ 2tanx +5

A: topic - indefinite integral

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A: Given : Fuel consumption = 700/x miles per gallon Speed = x miles per hour Hourly cost = $ 2.80/gal ...

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Q: Use the given graph of the function f to find the following values for f-!. 1. f'(-4) =| 2. f'(-3) :...

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Q: The general term of a sequence is given. Determine whether the given sequence is arithmetic, geometr...

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Q: Q5 A) find dr for the function y x'+ Inx

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Q: Rewrite exponents as factors using the Power Rule of Logarithms. Do not evaluate the logarithm. logs...

A: Note that, the power rule of Logarithms is: ln xn=n ln x

Q: < webwork / mat_168-h002-spring2022-chapman / homework7 / 6 Homework7: Problem 6 Previous Problem Pr...

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Q: The sides of a square increase in length at a rate of 3 m/sec. a. At what rate is the area of the sq...

A: lets the size of square is l so the rate of change of length = dl/dt = 3 m/sec area of square = l2 r...

Q: A True ( B) False

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Q: S 4 sec2x dx 2. tan2x+2tanx +5

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Q: A power line is to be constructed from a power station at point A to an island at point C, which is ...

A: We have to find the distance SA.

Q: Evaluate the following limit, if it exists : lim_ (tan 292 – sec 29z) 58 Note: Write the exact answe...

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Q: If ƒ (x) = e*dx and f (0) =2, then what is f (2)? A e +2 В None e²+ 1 D E e² – 1

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Q: If f(x) is increasing and f (x) > 0 on the internal K, then g(x) = 1/f(x) is decreasing on K. True o...

A: Given: f(x) is increasing and fx&gt;0 on the internal K. If f'x&gt;0 then the function f(x) is incre...

Q: 3. arcsin (cos A 3

A: Consider  arcsincos5π3

Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index ...

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Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm. ...

A: a)Area of the box (A)=x.x+2xh+2xhA=x2+4xh75=x2+4xh  [Since A=75 cm2]75-x2=4xhh=14x75-x2Volume of the...

Q: Find the linearization of f(x, y) = V1+x - y? at (4, 1), and then use it o approximate f(3.96, 1.02)...

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Q: 5. Solve Bessel function Jo: xý+y + xy =0 , yC)=0,7652 yo) = - 0.44 , h-o.5 ( do five iterations)

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Q: Find the area of the triangle with vertices P(1,3, –2), Q(0,0, 0) and R(3,5, 1). NOTE: Enter the exa...

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Q: Evaluate: S,(3y6 + 8y* – 9y²)dy 4 -

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Q: S 2xln(1+ x)dx

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Q: 65x 3. A new book has its monthly revenue given by R(x) = „121 where x is the number of months after...

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Q: y S(x) = 88 + 51lx2 - 0.5x3,

A: answer of given question is in step 2

Q: Given that x2- y² = 9, then dy/dx D %3D

A: To find out the dy/dx 

Q: dx Evaluate: x2+ 8x + 20 A In (x²+ &r + 20) B None x+ sin -1 2 +C x+4 D tan +C x+4 E -tan +C x+4 F -...

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Q: dy given that y = dr -3 sec-1 (VI) (4*)(log2 r)sech z ° Using logarithmic differentiation, find

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Q: List the first four terms of each sequence. An = 2n + 6: 8 10 12 14 ,.... bn = (4)" : 4 16 64 256 ,....

A: We can find first four term of the given sequences . Put n=1,2 ,3 ,4 and find four terms of the sequ...

Q: imum. Select the correct choice below and, if necessary e your choice.

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: (cos0+ tan@) do (sece + tan@sec2o) de cos?0 A) True B) False

A: In order to get the integral in terms of  secθ we need to separate the fraction and then solve it ac...

Q: Elimination of the arbitrary constants. 1. (x-c)^2+ y^2 = c^2

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Q: Robinson makes $200 a week and spends his entire income on running shoes and basketball shorts. Writ...

A: We have to find the algebraic expression for the above statements.

Q: 1.) Find the area of the region bounded by the parabola y = 2x and the line y = x - 4

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Q: dy for 2xy = dr 4 cos(x) – y?." as Problem 18: A student answers a homework question "Find follows. ...

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Q: sec2(tan-ly?) dy tan ( tan -ly?) +C 1+y4 A True B) False

A: The given integral,        ∫y sec2tan-1y2 dy1+y4

Q: * 00 R a1gissod snuiod /L • Question 4 Find the average rate of change of g(x) = - 4x° - 5 from x = ...

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Q: dy +xy 1-y, y(1) = 0 dx

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Q: dy Example 1.2.15: Let y=6u' + 5u , u=ln x, find dx

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Q: Evaluate this function of z = cos x sin y; x = u – v, y= u² + v². Use chain - dz rule to find ди А. ...

A:   The given function are z=cosx siny; x=u-v, y=u2+v2.   Rewrite the given the function as follows. z...

Q: 10)A doctor prescribes 300 milligrams of therapeutic drug that decays by about 10 % each hour. What ...

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Q: A truck is traveling due north at 55 km/hr approaching a crossroad. On a perpendicular road a police...

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Q: Write an equation for the polynomial graphed below -5 -4 -3 -2- -3+ -4 -5+ y(x) = %3D

A: We see that the curve passing through the points 1, 4, -4.  

Q: - 6 30 -dp- 2 x - 25

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Q: 1. Use the Euler, improved Euler and Runge-kulta methods to Solve the folllowing ODE s: 42 y =0 C. y...

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Q: A tree on a hillside casts a shadow c = 210 ft down the hill. If the angle of inclination of the hil...

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Q: |. Find the Taylor series of In(x) about a for a > 0. Your answer should be in sigma notation. You m...

A: Taylor's Series of f(x) about 'a' :     f(x) ≈ f(a) +f'(a)(x-a)+f''(a)2!(x-a)2 +f'''(a)3!(x-a)3+... ...

Q: Choose the statement below that is FALSE (only 1 is false) and explain why it is false. 6 #1: 12 #2:...

A: Use basic property of integral.