Find the area of the shaded region. x = 2- y2 -2 2 11 A 10 - 3. 8. D. 3. 2.

Q: y = x and y = x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the…

A: We use circular ring method.

Q: Q1: find dx of the following statement: a) y = cos? sec

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Q: Evaluate the definite integral. + ej+ dt - 1) i - (e" - 1) j +k O e? i+ (e-1-1) j+국k 2.

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: This question can be solved using the concept of domain and of functions and value of a function at…

Q: Describe the graph of the equation. r = 7 cos t i - 16 sin i j+k O An ellipse in the planex = 1,…

A: We have to describe the graph of the equation.

Q: Evaluate the line integral, where C is the given space curve. y dx + z dy + x dz, C: x = t, y = t, z…

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Q: n = 1 Vn lim n-00 converges O diverges

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Q: Consider the following. y = e−x2   Find ) y ' =   Find the slope m of the tangent line to the graph…

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Q: dx x?(4x++9)Z

A: Integration are simplyfied..

Q: The area bounded by y=3Vx and 2y=3x is revolved about the y-axis. Using circular ring method, set up…

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Q: Use series to evaluate the limit. X-In(1 +x) lim

A: Find your answer below

Q: S V9x² + 64

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Q: Determine whether the following equation is separable. If so, solve the given initial value problem.…

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Q: Find the differential dy and evaluate dy for the given values of x and d.x y = Vx2 + 24, x = 1, dx =…

A: First differentiate with respect to x then find value at x=1 and dx=-0.1

Q: 7. An analyst has found that Tom's Transmissions Company cost function is: C(x) = 40,000 + 500x –…

A: Marginal cost =C'(x)  To maximize or minimize use double deriveative test

Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r =. 3. a, = (2)(J)*| n+1…

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Q: 2- A radio station conducts a poll about gun control. It invites listeners to call one phone number…

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Q: 2x dx e 2X-1

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: What is the lim,→1 4x 7 .? x+1

A: limx→1 4xx+1The function is defined at x=1.limx→1 4(1)(1)+1limx→1 41+1limx→1 42=2

Q: long

A: We will use long division method.

Q: 12) find the indefinite inteyral Inv dv 6 v3 Answery a) -L (2invtl /Ac 12 v2 bり- りよemvtiリ+c (2 12v2…

A: The given integral is ln(v)/(6v3).

Q: 4) Find all values in the interval [-27,27]at which the graph of f has a horizontal tangent line.…

A: topic- functions and derivatives

Q: 3 10. S 2x Vx2 – 3x + 1

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Q: Find the gradient vector field Vf of f. f(x, y, z) = xSye'/z Vf(x, у, 2) %3D

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Q: (H.W) 1- Solve by choose M this time ( 2 x y² + 3 x² ) dx + ( 2 x² y + 4 y³ ) dy = 0 2- Find the…

A: If the differential equation Mdx +Ndy =0  is exact ∂M∂y=∂N∂x , then solution is                 ∫y…

Q: Find the area of the triangle. Round to the nearest tenth. A 61° 13 mi 7.2 mi C В 14.3 mi? 12.6 mi?…

A: Given query is to find the area of the triangle.

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: To determine whether the given series is convergent or not.

Q: Find the direction angle of v for the following Vel v = - 6i- 3j What is the direction angle of v?

A: On solving this we will get

Q: Find the length of segment AB. Round your answer to the nearest tenth. A 51° 26° 20 mi B 15 mi 16 mi…

A: ANSWER: 16 mi SEE ATTACHMENTS

Q: Let g(x) = | f(t) dt, where f is the function whose graph is shown below. What is the value of g'…

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Q: e3t – 1 lim t0

A: Use l hospital rule for finding the limit.

Q: y = xx, x-4, nd y =0 Revolve the area of the shaded region about the line x-4. Using circular disk…

A: Given  y=x√x=x^(3/2) X=4 and y=0  Now volume of solid evaluated as  V=integration 0 to 4…

Q: Integrate the following problems. Show all your work. 9. S(10xt – 5x3 + 3x)dx

A: Please refer to the image below

Q: 1- r 3 Consider the lines l : 2 2 - y = z +1 and l2: = y –2= 3 1. Determine a direction vectors for…

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Q: ( sec(Inx) tan(lnx) dx

A: ∫seclnxtanlnxxdxLet u=lnx.=∫secutanudu=secu=seclnxAdd a constant to the solution=seclnx+C

Q: 33) Find tue ared ef tue Serface formed by revolving thecirele r= f10) = 10 C6s Q f10) =10 Cos Q…

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: Ratio Test : Suppose we have a series  ∑ an.Define,   L =limn→∞ an+1an .The,(i)  If L<1 then…

Q: Find 17. d Ssin (4x) cos(4x) dx

A: Use substitution to solve

Q: Solve the system of differential equations.

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Q: (-1) ntl n=1 n3

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Q: dw given w = a2 + 2y2 + 22 and a = cos (st), y = -2s Int and Use chain rule to find 2 = 3s' Vi.

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Q: estion 6 of 10 w Policies rent Attempt in Progress Find V (V × F) if F(x, y, z) = 8 sin xi + 3…

A: We know divergence of curl of any vector function is zero.

Q: Given f(x, y) = 5z² + 42°y° – 2y“, find fr(x, y) = fy(z, y) = fer(1, y) = fry(x, y) = %3D

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Q: Find the area of the shaded region. x = -y x = 2 – y? -2 A B 10 2. 2. 3.

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Q: Find the tangent plane to the equation z 2y cos(5x – 4y) at the point (4,5, 10)

A: Given; z=2ycos(5x-4y) at the point (4,5,10)

Q: Determine the area of the glven reglon. y = x + sin x 3- 2- Step 1 Note that for the given reglon, x…

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Q: Use series to approximate the definite integral I to within the indicated accuracy. 1/2 x arctan(x)…

A: We have to find the value of integral.

Q: differential cgnatuin as A. Identify the given to the dependent variable, degce z the eguati degre 3…

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Q: 4 (2, 4) y = 2x y = x? Using a vertical element of area, the area of the shaded region is given by…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…