Find the area of the region outside T = 5 + 5 sin 0, but inside r : 15 sin 0.

Q: 23. r 4 sin 0, r = 2

A: Given curves are r = 4-4sin theta r=4. Red line shows the graph of r=4 and blue line shows the graph…

Q: exist that fit the following criteria? C=75°, c=4, a=7

A: C=75°, c=4, a=7

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

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Q: Integrate the function f(x, y) = ye over the region R bounded by the lines x = 1/3, y = 1 the graph…

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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 lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 900 yd…

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Q: A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

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Q: Find the indefinite integral. 3 dx

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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: 1. Find feit dt.

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Q: 1. Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at…

A: The given equation of curve y=6x2-3

Q: Find the area inside the loop of the following limacon: r = 6 – 12 sin Question Help: Video Submit…

A: r=6-12sinθ

Q: suppose u = f(x,y) and v = g(x,y) with xy+2xu+3xv+uv-1=0 and 2xy+3yu-2xv+2uv+2=0 find jacobian…

A: The given system of equations is: u=f(x,y).    and     v=g(x,y)  with xy+2xu+3xv+vu−1=0…

Q: Find the indefinite integral. 8 [x³ dx + C W

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Q: If an = F(n) and Eidn is Series of positive terms d Convergent ว Based only on the comparison test,…

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

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Q: Find the area of the surface. = The surface with parametric equations x = : u²₁, y = uv, z = 2¹-v²,0…

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Q: Which polar coordinate pair labels the same point as the one shown below? 4x Select all that apply.…

A: We have to find the coordinates that label the same point.

Q: Consider the series (-1)" (6x+5)" n=0 (a) Find the series' radius and interval of convergence. (b)…

A: We have to find- series radius and interval of convergence, values of x for which series converge…

Q: *P₁² (1+h) = Rph (1+₁2) (1)

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Q: Consider the following graph of a polynomial: -6 -4 2- 1 0 -1- 2 X 4 Maple plot 6 Write the factored…

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Q: The integral gives the area of the region in the xy-plane. Sketch the region, label each bounding…

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Q: 17. r = 4 cos 30

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Q: Evaluate the integral f x3_5x−1 X dx

A: ∫x3−5x−1xdx Expand: =∫(x2−1x−5)dx

Q: Consider the function f(x)=√x near x = -1. Find the linear approximation error when using the linear…

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Q: PROBLEM NUMBER 19 Determine h (t) given that h" (t) = 24t² - 48t+2, h (1) = -9 and h (-2) = -4.

A: (19)  h''(t)=24t2-48t+2given h(1)=-9  and  h(-2)=-4

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

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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: PROBLEM NUMBER 17 ●fe-et- Evaluate e-t 4 dt..

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Q: (a) (b) 160 001 6 000 0 100 010 1 3 001-4 The system has no solution. O The system has a unique…

A: (a).The given augmented matrix is:160|1001|6000|0

Q: (x(t) = 6+t Find a plane through the point (2,7,-5) and orthogonal to the line y(t) = -4+7t…

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

A: let  J=∫(z8-6z5+4z3-2z4)dz

Q: M Find the distance from the point (-2,6,4) to the line ä(t) = (-1,3, 5)t + (-9, -3,-2). 8266 √35 20…

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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: Complete the following steps to find an equation of the tangent plane to the surface z = at the…

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Q: Convert the polar coordinate Enter exact values. F) 5T 6, 6 to Cartesian coordinates.

A: We know that the relation between Cartesian and polar coordinate is  x=r*cos(theta)  And…

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

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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: Find the equations of the xy, xz, and yz traces of the function z = 4 - 2x² - 1². The xy-trace is:…

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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: 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: Let h(x) be a function continuous on R. You are given the following graph of h'(x). 7-1-01T 1 1 1 1…

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Q: = 1 VX dt It = 1

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given :- y=x,y=0 x=3,x=6 about the x=1.

Q: Write the equations (a) (b) in cylindrical coordinates. 6x² − 8x + 6y² + z² = 9 z = 4x² - 4y² 128π

A: a) 6x2-8x+6y2+z2=9 b) z=4x2-4y2

Q: If 900 square centimeters of material is available to make a box with a square base and an open top,…

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Q: Find the slope of the tangent line to polar curve T = 5 cos at the point (57)

A: We have to find the slope of the tangent at given point.

Q: An investment produces a perpetual stream of income with a flow Find the capital value at an…

A: Given the flow rate of R(t)=1400e0.02t.We need to calculate the capital value at 6% compounding.

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: Five years ago, you acquired a 30-year loan of $130,850, charging 6.5% annual interest, compounded…

A: we have to need two formulas. They are: