sec² t dt (tant − 1)²

Q: Evaluate the triple iterated integral. /4 π/4 cos e [*¹* [*¹²ª [ * * p². 10 p² sin cos o dp de dé

A: The given integral is: ∫0π4∫0π4∫0cos θ ρ2sin φ cos φ dρ dθ dφ

Q: Consider the function f(x) = 5-3x², -5<x<1. The absolute maximum value is and this occurs at x =|…

A: Consider the function fx=5-3x2 , -5≤x≤1.

Q: Find the solution to the initial value problem, apply initial canditions. Y"+ 2y' -8y=0; YO) =…

A:

Q: Rewrite the polar equation 7 mmmm Submit Question 6 sin() as a Cartesian equation. Question Help:…

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Q: Calculate the derivative of the function. HINT [See Example 1.] f(x) = [(1 + 9x)^4 − (5 − x)^2]^3

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Q: (b) Compute the line integral [20 on a path c(t) = t²i+t²j+ k beginning at t = 0 and ending at t =…

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Q: Fill in the blanks with right, left, or midpoint; an interval; and a value of n. 7 Σ 1(1.5 + k) • 1…

A: Given Comparing it with  we get Also given interval is [2,_], so a=2 We know that That is , the…

Q: xope x-y = e Ce

A:

Q: 1. Determine if the values of the variables listed are solutions of the system of equations. 3x + 3y…

A: System of equations:3x+3y+4z=24x-y-z=04y-4z=-36x=3, y=-3, z=6; (3, -3, 6)

Q: The function f(x)=1200x-100x represents the rate of flow of money in dollars per year. Assume a…

A: f(x) = 1200x -100x2 r = 4%

Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [8 8y³…

A: Green's theorem is given as  ∫( F1dx + F2dy ) = ∬( ∂F2∂x - ∂F1∂y )dxdy

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: The volume formula is

Q: A particle moves in a straight line with velocity t-2-25 ft/s. Find the total displacement and total…

A: v(t)=(1/t^2)-1/25

Q: 2. Solve the system of equations. If the system has no solution, say that it is inconsistent. 16x -…

A: for solving given problem:

Q: The equation below gives parametric equations and parameter intervals for the motion of a particle…

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Q: Find the volume under the surface z = f(x,y) and above the rectangle with the given boundaries. 4 X…

A:

Q: Find the area of region enclosed by x = t-t², y=t-ť, 0≤t≤1 using Green's Theorem.

A: given parametric curve :-x = t -t4    and   y = t-t5and   t ∈0,1then by using  Green's   theorem ,…

Q: 4) Let two vectors be a = (-3, 1,-4) and b = (0, -2, 3). a. Find the scalar and vector projections…

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Q: Find the minimum and maximum of f(x, y, z)= y + 4z subject to two constraints, 5x + z = 2 and x² +…

A: To solve the following

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Here given function is f(x)=5-4x-3x2;[-5,4]

Q: PROBLEM NUMBER 13 Evaluate 28-625 +423-2 24 1³ dz.

A: let  J=∫(z8-6z5+4z3-2z4)dz

Q: Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into…

A:

Q: An inverted cone (base above the vertex) is 5 m high and has a base radius of m. If the tank is…

A:

Q: Consider the following. u = 9i + 8j v = -8i + j + 5k Find u x v. Determine if u x v is orthogonal to…

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Q: Evaluate the surface integral JL.F. F. ds for the given vector field F and the oriented surface S.…

A:

Q: Find the slope of the tangent line to the parametric curve Question Help: Video Submit Question x =…

A: We have given x=4 cos(t) and y=3 sin(t). We need to find the slope at point t=π4

Q: Find the work done by the force field F in moving an object from A to B. F(x, y) = 2y³/2 i + 3x√y j…

A: NOTE: Refresh your page if you can't see any equations. . the given force field is  the given…

Q: Use the Shell Method to compute the volume obtained by rotating the region enclosed by the graphs as…

A:

Q: 28. Answer the following questions about the function whose derivative is f'(x)=(x-1)(x+9)(x-5). a.…

A: f'x=x-1x+9x-5

Q: When subbing in -5x to the given taylor series, Im getting consistent negative terms. so wouldn't…

A: Dear student it is not possible to chat live you have to raise quary by putting question. I am sorry…

Q: 1. Show directly from the definition that the following limits exist, and compute their values. (a)…

A:

Q: A portion of the graph of f', the derivative of f is given, consisting of two line segments and a…

A: The graph of f'(x) is:

Q: A box is to be made out of a piece of cardboard 8 by 20 meters. Squares of equal size will be cut…

A: The piece of cardboard is 8 m by 20 m. Let, The side of square that is cut from each corner is x (…

Q: An object moves counterclockwise around a circular path centered at the origin. The radius of the…

A: Let's first find the equation of the circle with a radius of 2 feet centered at the origin. The…

Q: 4 '6 6x√x + 1 dx

A: Evaluate the definite integral. ∫466xx+1dx

Q: Consider the function f(x) = 3 - 3x²/³ on the interval [-1, 1]. Which of the three hypotheses of…

A:

Q: log₂ x²

A:

Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

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Q: Evaluate the integral f x3_5x−1 X dx

A: ∫x3−5x−1xdx Expand: =∫(x2−1x−5)dx

Q: 0.9t t² + 50 the concentration is at a maximum. Give your answer accurate to at least 2 decimal…

A: The concentration of a drug t hours being injected is given bu Ct=0.9tt2+50

Q: Use the Shell Method to compute the volume obtained by rotating the region enclosed by the graphs as…

A: Region: y=x2+1-2, y=2-x2+1-2, x = 7   The volume is to be computed using the Shell Method by…

Q: What is the integral of (3t-1) dt? A.(3-1) +C 8.(3-4)*+C C. (3-1)*+C D. (3t-1)³ +C B. Evaluate the…

A: Given that ∫ 3t-13 dt

Q: Evaluate the definite integral. [962-3 dz

A:

Q: Evaluate the double integralfer, 0) dA. **² sin(0) cos(0) dr de Sketch the region R. π/2

A: we have given integration ∫0π4 ∫08 r2sinθcosθdrdθ

Q: Solve the following equation on the interval [0°, 360°). Separate multiple answers with a comma.…

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Q: 9. r 4 cos = 0 Ꮎ

A: To sketch the curve and to find the area that it encloses. r=4 cos θ

Q: Find the area of the region enclosed by the curve x=8 cos(t)- 4 sin(2t), y=3sin(t) with 0< or equal…

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Q: The function f(x) = 2x³ − 42x² +240x + 7 has one local minimum and one local maximum. This function…

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Q: Please explain the rules applied in each step of the solution

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Q: da dx = 11 선 g

A: The given differential equation is: dydx=x+yy