CoS X F 2x 7x

Q: ||r(t) × r"(t)|| Use the formula k(t) : to find «(t). %3D r(t) = e"i+e-tj K(t):

A: K(t)=?

Q: on the interval Find the difference between the upper and lower estimates of the distance traveled…

A: Let's find.

Q: Find the moment of inertia with respect to x-axis of the area bounded by the parabola y = 4x %3D and…

A: Moment of inertia with respect to x-axis , Mx= ∫A y2 dA.

Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it…

A:

Q: Use a double integral to find the volume of the region under the graph of f(x, y) = 3xy and above…

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Q: Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x2 b.…

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Q: 46n Nhich of the following angle measure (in radians) is coterminal to an angle with measure 3…

A: Given problem:- Which of the following angle measure 46π/3 (in radians) is coterminal to an angle…

Q: 5. [sin-' x dx Ans. x sin'x - V1-x² +

A: We will use integral by parts to evaluate integration of arc sinx

Q: When the eigenvalues of a b A = 0 d are 11 = 2 and 12 = 0, what are the possible values of a and d?…

A:

Q: Find the domain, x-intercept, and vertical asymptote of the logarithmic function and sketch its…

A: We have to find out

Q: Find the moment of inertia of the area bounded by the curve x^2=4y, the line y=1 and the y-axis on…

A:

Q: Let s(t) (2)a v(t) = Where does the velocity equal zero? [Hint: factor out the GCF] 4+12t2 36t be…

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Q: Find the vector 2u +3w given the vectors u =-i-4j and w = -2i + 5j. Write your answer in the form a…

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Q: Consider the points A(1, –3, 4), B(2, –5, 2), C(-1, –4, 2), and D(2,3, –5). (a) Find the volume of…

A: Let a,b,c and d are position vectors of point A,B,C and D resp. Therefore a=i-3j+4k b=2i-5j+2k,…

Q: Solve for the general solution of the non-homogenous linear differential equation using the method…

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Q: A small resort is situated on an island that lies exactly 4 miles from PP, the nearest point to the…

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Q: The progress of a person on a long hike is shown in the graph. 9. D 8 - 7- 6 - B 2- 1- 5 7 8. Time…

A: The given graph is distance against time ,  where distance is marked on y-axis and time marked in…

Q: Utilize the Lagrange multipliers method to maximize the function f(x, y) = 8x + 18y - 10x2 - 4y2…

A: The given function is  f(x, y) = 8x + 18y - 10x2 - 4y2…

Q: Suppose a product's revenue function is given by R(g) = - 2q? + 400g. Find an expression for the…

A: Given problem:- Suppose a product's revenue function is given by R(q) =- 2q2 + 400q   Find an…

Q: Find the following for the given equation. r(t) = (e-t, 4t2, 9 tan(t)) (a) r'(t) (b) r"(t) = %3D (c)…

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Q: Find the dimensions of a rectangle with perimeter 1000 metres so that the area of the rectangle is a…

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Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (5t + 6)i + tj, 0sts1

A:

Q: - 4g° + 1000g, where R(g) is in dollars Suppose a product's revenue function is given by R(g) g is…

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Q: Evaluate lim (x)/

A: We can find the  limit as below.

Q: 3e dt 10. SET A.

A: We will use the concepts of definite integral

Q: dx 2.) S 4+ x2

A:

Q: Use continuity to evaluate the limit. 16 + Vx lim 16 + x

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Q: Find the divergence of the vector field F. F(x, y) = 7XEX¡ – 9x²y2j

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Q: (2xy+x^2+x^4)dx - (1+x^2)dy=0 the answer should be

A:

Q: Dest. 3. Supply Sources! 6. 3. 10 7. 20 3. 10 11 15 30 Demand 15. 17 28 Find the initial solution…

A:

Q: Approximate the point of intersection of the graphs of f and g. Then solve the equation f(x)=g(x)…

A: given function : f(x)=log3x and g(x)=2from figure it is clear that intersection of both curve is…

Q: Two numbers have a sum of 72. What is their product if it is a maximum? (A) 1296 B) 1297 c) 1298…

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Q: In the year 2000, the population of a small city was 43,000. The population grows at a rate of r(t)…

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Q: Find the general solution of y'' - 2y' - 8y = 24(x2+1)e4x by using VARIATION OF PARAMETERS

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Q: -2+0.5-0.125+...= (Write your final answer in fraction form, when applicable)

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Q: ind [r(t) · u(t)] and Ir(t) x u(t)] in two different ways. dt r(t) = ti + 5t2j + t³k, u(t) = tk (a)…

A: Solving

Q: Evaluate the double integral. 3r(1+ y²)¯ dA; R is the region in the first quadrant enclosed by y =…

A:

Q: Suppose a product's revenue function is given by R(g) is units sold. 5g? + 500g, where R(g) is in…

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Q: Solve the logarithmic equation algebraically. Approximate the result to three decimal 8+ 7ln x = 14…

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Q: 1 Find the area onclosed by the Curve r=4-3 sin 0.

A: Area

Q: A company has identified that the revenue R for a particular product is given by the equation R(x) =…

A:

Q: Suppose a product's revenue function is given by R(g): is units sold. Also, it's cost function is…

A:

Q: An archaeologist found a burial jar when excavating in an ancient village. To determine the age of…

A: Rate of decay of C14 is proportional to its amountdctdt=kct…

Q: Diego knows that 82 64 and that 4° = 64. What other statements are true? O V64 = 8 O V64 = 4 O…

A: We can find the true  statements as below.

Q: Find the moment of inertia of the area bounded by the curve x^2=8y, the line x=4 and the x-axis on…

A: Use moment of inertia concept

Q: (9, -7) (3, 1). Find 吕 ロ师仁 ?

A:

Q: 2x (x- 3)2 .

A: Given: ∫2xx-32dx

Q: ex-e-* Find Maclaurin series for: 1. sinh x = 2

A: Find your answer below

Q: For the function f(x)=2x^{2}+4x-1f(x)=2x2+4x−1, find the slope of the secant line between x=-1x=−1…

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Q: 24) Find the maximum rate of change of at the given point and the direction in which it occurs.

A: