91. fax + (x + 5) dx √4-x²

Q: 10. § csc5xdx

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Q: Determine whether the series is convergent or divergent. Name the test. n² + 1 +1 14) [ n=1 n

A: We have;

Q: 7. Jf= rdA where R is the region enclosed by y = Arcsin(x), z = 1/√√2, R and y = 0.

A: R is the region enclosed by y=sin-1x,x=12 and y=0

Q: Find the total area of the shaded region shown to the right given by the curve y=2(sin x)√1+ cosx.…

A: The curve equation y=2sinx1+cosx Graph

Q: Determine if the series below converge absolutely, converge conditionally, or do not converge. 3. 80…

A: We know that the divergence test  If the absolute value of the limit is not equal to zero then the…

Q: Determine if the field F = 19y i+ 19(x+z) j-19y k is conservative or not conservative.

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Q: QUESTION 5 If R (x) is the revenue earned by selling x gallons of paint, what is a correct…

A: Given: R(x) is the revenue earned by selling x gallons of paint.

Q: (-1)kk(x-4)k 2k 1. Determine the radius and interval of convergence for Σk-o-

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Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

A: We need to determine the solution to given system of equations graphically: 4x+5y=5-x-54y=-54

Q: f'(x) = x 100 + 1; (1, 4)

A: f'x=8x+1 Integrating both sides  ∫f'xdx=8∫1xdx+∫1dx fx=8lnx+x+C........ (i)

Q: find a power series representation for the function. determine the interval of convenience. (give…

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Q: Consider the following initial-value problem. f'(x) = 9x² – 12x, f(3) = 34 Integrate the function…

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Q: 9. S arcsin 3x dx √1-9x²

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Q: 1. Use the ratio test to determine whether the series -13 is absolutely convergent, conditionally…

A: The given series is: ∑n=1∞ en+1n 3n

Q: Consider the function f(x) = - +4. In this problem you will calculate √(- ³²3² + +4) dx by using the…

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Q: For the following polynomial function f(x) = -x2² - 2x + 4, find the upper bound within which all of…

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Q: Find a potential function for F. 3-4x² 2 y F= 8x y -j {(x,y): y>0}

A: The given conservative vector field is:F=8xyi+3-4x2y2j        (x, y): y>0

Q: The first step in solving the equation 4 cos 2 x + 4 sinx-5=0, o<x<2pi, is to replace     With

A: We are required to find: The first step in solving the equation 4cos2x+4sinx-5=0, 0&lt;x&lt;2π, is…

Q: Use technology to obtain approximate solutions graphically. All solutions should be accurate to one…

A: We will use geogebra to draw the graph using given points and find the point of intersection.

Q: A solid is generated by revolving the region bounded by the following about the y-axis. y E y = 8 A…

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Q: The percent of mothers who work outside the home and have children younger than age 6 yr is…

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Q: Find the area of the surface. The helicoid (or spiral ramp) with vector equation r(u, v) = u cos(v)…

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Q: Determine the area that is bounded by the graphs of the following equations on the interval below.…

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Q: Determine if the series converges or diverges. Give a reason for your answer. Σ n=1 2n 9n-4

A: By divergence test if the limit value finite then the given series is diverges

Q: Consider the following initial-value problem. f'(x) 5 f'(x) dx = X I f(9) = 32 Integrate the…

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Q: Based on your knowledge of the behavior of the numerator and denominator, predict the value of the…

A: We have give a function...if we directly put the value x= 0 then it will become 0/0 form. So we use…

Q: 18) Σ (-5)²" n29"

A:

Q: Use the half-angle formula to simplify the following expression. 1+cos 12x 2

A: 1+cos12x2

Q: Last year, Pinwheel Industries introduced a new toy. It cost $4600 to develop the toy and $40 to…

A:

Q: (2 Suppose f(x) = In (3+x2). Find the point(s) of inflection of f(x). Determine the interval(s) on…

A: The given curve is:f(x)=ln3+x2

Q: Do an analysis of this function to find the absolute maximum and absolute minimum values, if they…

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

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Q: Suppose that a particle following the path c(t) = (t², t³ – 5t,0) flies off on a tangent at to = 7.…

A: We have to find the position of particle at time t1=9.

Q: Suppose the total cost function for manufacturing a certain product is C(x) = 0.3 (0.02x² + 110)…

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Q: Find the exact solutions of the following equation in the interval [0, 2π). sin 2x = sin x

A: given,  sin(2x)=sinx  given interval is [0,2π)

Q: X Let G(x) = ₁ tant dt. Then G(1) and G'(4) = ←

A:

Q: Consider the function f(x) = 5-3x², -3<r < 1.

A: For maximum and minimum then the first derivative of the function is zero

Q: {(-3)"/n!}

A: If the limit n tends to infinity value zero then the sequence is convergent

Q: 3.2 1.7 ? A

A: If the triangle one angle is 90 degree then the triangle is called Right angle triangle

Q: QUESTION 3 Let f(x) = (x² + 4x) (x³ + 6). Find f'(1). (Hint: First take the derivative to find…

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Q: Shown above is a slope field for which of the following differential equatic A B U dy dr da dy dr =…

A: SOLUTION:-   Given,    A slope field of a particular differential equation. We need to find the…

Q: For the polynomial function, f(x) = x³ + 2x-6, find the upper and lower bounds within which all of…

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Q: Find the surface area generated by rotating the given curve about the y-axis. 6t², y = 4t³, ostsi

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Q: Find the area of the region bounded by the graphs of the given equations. y=9x, y=x³.x=0, x=3 Set up…

A: Let two functionsy1 = f( x ) y2 = f( x ) from x = a to x = b then area under the curves from x = a…

Q: 5 Evaluate the integral. 3 √xe-*²₁ 0 dx

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Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

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Q: Write the following expression as the tangent of an angle. tan 7a-tan a 1+tan 7 tan a

A: Before solving the problem , first I have written a note in which a formula has written.Just use…

Q: Solve the equation in the interval [0, 2π). Enter your answers as a comma-separated list. √2 2 x = 1…

A:

Q: A ternary digit is either 0, 1, or 2. How many sequences of eight ternary digits are possible…

A: A ternary digit is either 0,1 or 2

Q: Cost of Producing Guitars Carlota Music Company estimates that the marginal cost of manufacturing…

A: The marginal cost C'x=0.004x+110