+4x –1 dx x' - x 2.

Q: Evaluate the following algebraically. csc? x lim 1 O 1 O -1 8. 8.

A:

Q: The graph of the function f (2) = 2 arcsin(x – 4) +1, is best pictured by:

A: We will put the x values and get the f(x) values.

Q: Please answer all parts in detail.

A:

Q: Find the area bounded by the curve y = 4x-x2 and y = 3. %3D Answer:

A: Solve the following

Q: The graph of y= f (x) is drawn below, sketch a graph of y = f(x).

A:

Q: Apply

A: We will solve the integration.

Q: 5. Find the Maclaurin series for f(x) = In(1 Do not use the building block from the previous…

A:

Q: Evaluate the double integral SR Sf(r, 0) dA, and sketch the region 5. S V9 – r² dr d0

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Q: Find the limit of s(n) as n . 1 n(n + 1) s(n) = 5.

A:

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f() = 2x + 3 between x =…

A: Our Aim is to find the "area under curve"of f(x)=2x+3 between x=11 and x=13using the Fundamental…

Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

A:

Q: 18 of 20 Find the equation of the tangent line to the curve y = Vx+2 at the point (2, 2). y = 금z + 2…

A:

Q: 2- Sinx-y cos?x =.

A:

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

A:

Q: What is the radius of convergence of (п + 2)! (x+1)"? n! n=0

A:

Q: 3. S- dx 1-sin'x

A:

Q: 6. What is the general solution of the following differential a²y.cdy d²y equation -52…

A: We need to find general solution.

Q: Use Disk Method only Find the volume of the solid formed by revolving the region bounded by the…

A:

Q: A. Identify the given differential equation as to the dependent variable, degree of the equation,…

A:

Q: Determine the vector field of F. F(x, y) = 9i – 3j %3D

A:

Q: 3. a) Determine the slope of the function, h(x) = 4sinx at x =". b) Find the slope of the line that…

A: We can solve as follows

Q: Find Taylor series generated by f(x) = 3x5 -x* + 2x3 + x² - 2, at a = -1 %3D |

A:

Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. %3D If u(1, — 3) — 7, и, (1, —…

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Q: J4-yズ ニo dy

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Q: Determine the general solutions of the following differential equations. 1. (2x - xy2 - 2y + 3)dx –…

A: We can solve 1 problem only.

Q: sec(0) = cot(0) = (b) y (1, -1) sin(0) = cos(0) = tan(0) = csc(0) = sec(0) = cot(0) =

A:

Q: dz dz and dy dx Suppose z is a function of x and y, and tan y² + x² = z®e6y. Solve for

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Q: Express à = (3, 1, – 1) as B + Č, where B is parallel to the vector (1, 4, 2) and Č is perpendicular…

A:

Q: Condense the expression to the logarithm of a single quantity. [9 In(x + 4) + In(x) – In(xº – 8)]

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Q: Q2) Find the integral of: f*,6 tan*x dx

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Q: 10) Eind the eçuation of the plane Contaihins the two vectors 2and ,and the point PU2ー)

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Q: Find the area of the region bounded by y = 34(x + 2), x = 2 and the x-axis. %3D Answer:

A: Given query is to find the area under the curve.

Q: sin(6x) lim ? 2+0 sin(2x) Does not exist O 3

A: Given problem:-

Q: A. Use polar coordinates to describe the region shown. 1.

A:

Q: 5x3+4x2-5 dx

A: Use power rule integration technique

Q: 11 a) Use the rational root theorem to find the possible rational roots of 12.r -8r-3T+2=0 b) List…

A:

Q: (tan x) dx

A: Given query is to find the integral.

Q: d Calculate ri(t) r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

A:

Q: Determine the explicit formula for the nth term of the sequence written below. Note that the first…

A: To determine the explicit formula for the nth term of the sequence written below.14, 13, 25, 49,…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3z F(x) = | cos (t°) dt.…

A:

Q: Determine the largest interval that pλ must lie in to approximate p with a relative error of at most…

A: 3. Determine the largest interval that pλ must lie in to approximate p with a relative error of at…

Q: (7 cos° t dt 2

A: ∫0π/2 cos9tdt ∫0π/2 cost(1-sin2t )4dt here lets substitute that sint = u du/dt = cost du = costdt…

Q: Determine the general solutions of the following differential equations. 1. (2x3 – xy? – 2y + 3)dx –…

A:

Q: Find f, and fy! and evaluate each at the given point. xy f(x, y) = (7, –7) X - y fy(x, y) %D f,(7,…

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Q: Find the domain of r(t) and the value of r(te). NOTE: Reund your anser to two decimal places uhen…

A:

Q: Find the exact values of the six trigonometric functions of each angle 0. (a) y (-V7, -1) sin(0) =…

A: (a) From the given figure: Here, OA=AB2+OB2=7+1=8=22

Q: Fnd the Indefinite Integral and check your result by differentlation. (Use C for the constant of…

A:

Q: B. Find the interval of convergence of the power series and find the sum of the series as a…

A: Series convergence

Q: sin() cos( 2

A: To Find :   ∫sinx2cos3x2dx   Note: 2sinAcosB=sin(A+B)+sin(A-B)

Q: 2. S(e" + e-3)² dt

A: