Find the points (x, y) at which the polar curve 4 cos 0, horizontal tangent line. Vertical Tangent Line: Horizontal Tangent Line: 7T 6

Q: Find the volume of the solid generated by revolving the region enclosed by the triangle with…

A: The volume of the solid generated by revolving enclosed by the triangle with vertices (4,1),(6,3)…

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: surmounted by a semi-circle. Find the dimensions tha provide the largest area for this window if its…

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Q: Find the linear function with the following properties. Answer f(x) = f(-6)= -2 1 Slope of f

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Q: ind the ardength of the curve I || Submit Question 1 3 Question Help: Message instructor t³, y || t²…

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Q: Evaluate the iterated integral. 9 JJJ Sze-x8 dy dx dz 20

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Q: A wire of length 8 is cut into two pieces which are then bent into the shape of a circle of radius r…

A: Need to write down the total area in terms of s and r, also to sovle for s in terms of r and to find…

Q: dt +5i = 7 o=(0)h(

A: The given differential equation is: didt+5i=7 ;              y(0)=0

Q: At exactly two of the labeled points in the figure below, which shows a function f, the derivative…

A: We need to interpret graph.

Q: 7T Plot the point whose polar coordinates are 4, 4 -5 -4 น -2 -1 4 3 2 1 -1 -2 -4- -5+ Clear All…

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Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

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Q: Evaluate the indefinite integral by using the substitution u=x²+1 to reduce the integral to standard…

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Q: Evaluate the definite integral. (Give an exact answer. Do not round.) 6 [e e8x dx

A: We have to evaluate the given integral.

Q: Find the total area of the shaded regions. y=x√4-x² 6 10 Ay -8- 6 4 2 -2 -4- --6- 8 40 ... U ( The…

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Q: D r=4+3 sin

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Q: 62x(x2-1)30 dx

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Q: -(-3 y= 2³ +9r 4 3r

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Q: Determine the intervals on which f is increasing or decreasing, assuming the figure below is the…

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Q: Find u v, uu,u², (u v)v, and u u = (5,-8, 8), v = (-6, -1, 2) (a). u. v (b) (c) (d) (e) UU ||u||²…

A: (d) given u=<5,-8,8>  and  v=<-6,-1,2>

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: y= √(64-x2)  We have to evaluate volume of solid formed by revolving the region about y axis

Q: 10. Which of the following matrices is in reduced row echelon form? Select the augmented matrix…

A: A matrix is in reduced row-echelon form if it satisfies the following: In each row, the left-most…

Q: The parametric equations and parameter interval for the motion of a particle in the xy-plane are…

A: x=6sint,y=5cost ,0≤t≤2π

Q: Let f(x) = x√√x + 4. Answer the following questions. 1. Find the average slope of the function f on…

A: fx=xx+4 The average slope in the interval (a, b) is m¯=fb-fab-a

Q: g(b) Use the Substitution Formula, f(g(x))• g'(x) dx = f(u) du where g(x) = u, to evaluate the…

A: We need to solve integrals.

Q: Q.3 Solve given Exact D. E 11; (2xy-3) d₂ + (x²+4y) dy=0; y(1)=2₁ T 12. २.

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Q: Evaluate (cos3A) dA.. A. B. C. D. x/6 27T 363 35T 768 23T 765 12π 81

A: To evaluate ∫0π6cos3A8 dA. Note: Since the student has posted multiple questions and does not…

Q: +√√x+cos 3x + csc² 2x) dx ¹2x) dx ₂)/G + ₁ b) √x

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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: y=(2√√x-3)(6-5x²)

A: y=2x-36-5x4

Q: Find an approximation of the area of the region R under the graph of f by computing the Riemann sum…

A: The number of subintervals=6 on [1,3]So △x=3-16=13

Q: Dave borrowed $6300 from his uncle with simple interest of 9% and eventually repaid $8568 (principal…

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Q: Given F f(x,y,z) = (3yz, 3xz+3,3xy + 2z), find a function f so that F = Vf Use your answer to…

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Q: Given that x 1 2 3 4 5 6 y = f(x) 1 8 27 64 125 216 Find dy dx and d2y dx 2 at x = 1 and x = 6

A: We need to solve derivative problem.

Q: ¹ / ( (x² + x 7). xi - y). dr where C is the semicircle with center at (2, 0) and going from (8, 0)…

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Q: F(x, y, z) = xzi + xj+yk S is the hemisphere x2 + y2 + z2 = 16, y ≥ 0, oriented in the direction of…

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Q: Suppose that 374 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

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Q: 6 An observer at A in the diagram is watching a plane fly overhead, and he tilts his head so that he…

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Q: Find the value(s) of k if the line 1₁: [x, y, z] = [3, 2, 1] + t[k, k, -2] is parallel to the plane…

A: we have given line  [x, y, z) = [3, 2, 1] + t[k, k, -2] and plane 3kx + y + z-6 = 0.

Q: Evaluate (x+y-22) dV where E= {(x, y, z) | -5 ≤ y ≤0,0≤x≤y, 0 <z<x+y²} E

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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: 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: Write the sum without using sigma notation. n Σ(-1)² + 2x³² j = 1

A: Summation means  Putting j=1,2,3.......n

Q: Use derivative to determine whether the sequence {7-3/)} is monotonic increasing, monotonic…

A: an=7-4n

Q: Complete the following steps in order to find an equation of the tangent plane and a set of…

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Q: Use the Direct Comparison Test to determin In n n+7 Σ ? In n 7+7 converges Odiverges

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Q: Find the area of the region inside: r = 9 sin but outside: r = 2

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Q: Let à = (5, 0, −6) and b = (3, 5, −9). Compute the projection of a onto b and the vector component…

A: The given vectors are: a→=5, 0, -6b→=3, 5, -9

Q: Method 2. Since cosine has period 27, we may add -2πn to the argument of the cosine without changing…

A: To explain how we got 32 in the given solution.

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

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Q: A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out…

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