f(x, y, z) dV = JE

Q: nd d²x/dt² as a function of if 4 = 7x sin x.

A: Given query is to find the derivative of the the expression.

Q: Sketch and find the area of the region bounded by y =ln In x, y = 1 – x and y 2.

A: Given curves, fx=y=lnlnxgx=y=1-xhx=y=2 The area bounded by the curves f(x) and g(x) is given by…

Q: Question 3 Let R be the region whose boundary C has parametrization r (t) = (cos t) i + (sin t) j, t…

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Q: In x cot x 6 ) Tim

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Q: S(-0) dx = - 4 In|x| + C 8. 2. )dx = 6 Vx + C

A: ∫x4-dx=x28-4ln(x)+CApply the Sum Rule:…

Q: Determine the instantaneous velocity of the object when t = your answer. 3. Include units on

A: Instantaneous velocity involves derivative.

Q: Show that the equation 2x+sinx = 0 has exactly one real root.

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Q: Evaluate the iterated integral " (3x + y) 2 dyda

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Q: 3. Given a function F(x) = xVx+6. (a) Find the intervals of increase or decrease. (b) Find the local…

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Q: (-1)²-1n n+vn b) an (Hint: Show what happens when n is odd and when n is even) %D

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Q: compelete solutions and figures. A circle with an equation x2+y2+kx+4y=12 to point (-2,5) has a…

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Q: 6. Sketch the graphs of y = cosh x and y-axis, x= In 2 and x-axis. Shade the region bounded by the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: 1) Are the following functions analytic? a) f(z) = z z b) f(z) = z + z?

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Q: Use this definition with right endpoints to find an expression for the area under the graph of f as…

A: Here, the given function is: f(x)=9+sin2(x) Here, we need to find ∑i=1nf(xi)∆x ∆x=b-an, a=0, b=π…

Q: Problem #2 One airplane is approaching an airport from the north at 199 km/hr. A second airplane…

A: We have to find the rate at which distance between the planes is changing.   According to our…

Q: у" — бу' — 7у%3D11 sin 4x -

A: We have to mention the general form of the particular solution

Q: At what point does the terminal side of an angle, with a measure of 35TT 6. radians, intersect the…

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Q: fractions: what is the answer to 1\3 + 3\4

A: To solve this question, we will take the L.C.M. of 3 and 4 .

Q: 5, (1) Find the eigenvalues and the eigenvectors of the matrix A = %3D 3 -2

A: The given matrix is: A=563-2

Q: 4. dx = Inlx -e* +C %3D 5. S 2+3*dx = 4 6. Inlxl + C

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Q: dx 4. J 1+ Vx -2

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Q: 6. Do the following tasks using Mathematica. (a) Solve the differential equation: xy' + 2y = 3 Plot…

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Q: Given the triangle 30 find the length of side x using the Law of Sines. /44° 26° Round your final…

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Q: y-2 z+1 and y +1_2-3 2-3 x+2 v 33.

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Q: Use Power Sums to evaluate N 3s? 2s 4 lim N3 s=1 (Give your answer as a whole or exact number.) 3s2…

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Q: 1+y dy

A: We can solve the given integral as follows:

Q: Consider the parallelepiped with adjacent edges u = 2i + 4j + k v = i + j+ 6k w = i + 2j + 5k Find…

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Q: Evaluate the integral. 1. (7 – 8v3 + 16v7) dv |

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Q: 8. Use im te gv al test to de trvmior Comverfne or Divrigen of the foll owig Spoiver

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Q: Suppose the concentration of a particular drug that is administered orally is given by Cpo(t) = 50(e…

A: The bioavailability (F) of the drug is 0.13

Q: Calculate L6 for f(x) = V6x + 2 over [1,3]. (Give your answer to three decimal places.) L6 2

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Q: Let E be the region bounded above by z? + y² + z² = 10² , within z? + y? = 4° , below by the r®…

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Q: Determine whether the Ratio Test is inconclusive (that is, it fails to give a definite answer),…

A: We have to determine whether the given series is convergent , divergent or inconclusive

Q: 1-cos 2x lim 4x

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Q: Solve the inequality. (Enter your answer using interval notation.) 4x2 - 16x 2 0 Graph the solution…

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Q: 1)" Given: In(1+ x) = > if x < 1. n + 1 n=0 1. Find the Mlaclaurin series for f(x) = x ln (1+ 3)

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Q: Find slope of the tangent line to the graph f(x)=; at x = 0. 1+cosx

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the…

Q: Which graph correspond to the vector field (r, – y)? 3

A: Solving

Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 3,…

A: To find the position function of the particle.

Q: Solve each equation. 0. -5 -5 1) -1 %3=

A: Here we have to solve, -504-1Z=-55

Q: Consider the intersection of the ellipsoid x^2 + 2y^2 + 4z^2 = 22 with the plane x = 2.…

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Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) =…

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Q: Answer and consider the plane with x-intercept = -3, y-intercept = 4 and z-intercept = 3 a. Sketch…

A: Let's find.

Q: 3. A 1 000-metre track is to be built with two straight lines and semicircles at the ends as shown…

A: Solution is given below:

Q: A surveyor is trying to figure out the width of a pond. She measures the angle between the two sides…

A: Topic = Cosine law

Q: Find the derivative of the logarithmic function. 6 + y = In

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Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

A: Given : Marginal cost in cents is C'(x)=-0.08x+75    , for x≤1000   To Find : Total cost for…

Q: 6. 24 4 3) 0 1 %3D 0.

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Q: Consider the function, whose graph y = f(x) is shown below. -3 -2 What is the set of values of x E…

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Q: Given a function F(x) =xVx+6. (a) Find the intervals of increase or decrease. (b) Find the local…

A: