Use an area formula from geometry to find the value of the integral by interpreting it as the (signed) area under the graph of an appropriately chosen function. S√64-x² dx 8 S√64-x² ax dx = (Type an exact answer, using as needed.)

Q: The lateral area of a right circular cone of radius 4 cm is 100.53 sq. cm. Determine the slant…

A: Recall that the lateral area of a right circular cone having radius r andslant height is πrL.

Q: (d²4)(d-2)y=0

A: To find the roots of  (d2 - 4)(d - 2)y = 0.

Q: Given the vector field F(x,y,z)= , find the divergence and the curl of F. I

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Q: Evaluate [/3 cos(x) In (sin(x)) dx T1/6

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Q: the graph of f (x) = r the exact answer. Number below to find a number such that f (x) y 1 0.7 0.5…

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Q: Use the Midpoint Rule with n= 3 to approximate the integral. S √x + 1dx = [Please enter your answer…

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Q: Find the indicated Trapezoid Rule approximation to the following integral.

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Q: FR Find the absolute maximum and absolute minimum of the function f(x) Enter an exact answer. If…

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Q: 36. Determine the exact simple interest on P 2,000 for the period from January 10 to October 28,…

A: The solution is given in the next step.

Q: True or False: The definite integral 2 L₁ (x + 36 is equal to Select one: O True False 2 [² (x +…

A: We can answer the question as below using the properties of integration.

Q: On his first three quizzes, Patrick earned a 15, 18, and 16. (A perfect score would have been 20…

A: On his first three quizzes, Patrick earned a 15, 18, and 16. (A perfect score would have been 20…

Q: Evaluate the following integral. R|N 2 L K|N - 6x sin x dx e *** 2 S (Type an exact answer. Use…

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Q: Find the general solution of the following differential equation. y" +9y+ 20y = 0 NOTE: Use c₁ and…

A: See the details solution in below

Q: The equations of three lines are given below. Line 1: Sy=-3x+4 3 Line 2: y=-=x-5 5 Line 3: 10x+6y=6…

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Q: 5. f 3√xdx

A: Topic = Integration

Q: Given the equation -Sa+30-5g²-10y52²-90=210 Show that the given equation represents a sphere, and…

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Q: Find all values of x in the interval [0, 2(pi)] that satisfy the equation.  14 + 7 cos(2x) = 21…

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Q: Prove that 2 Sin X dx 1 + cotx + cos x It tan X cos 2 x

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Q: . find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P.(0,0,0) in the…

A: To find the derivative of the given function g(x,y,z) at the given point P0 in the direction  Of…

Q: Question 2 Given the equation -5x² + 10x - 5y² - 80y5z² + 60z = −340 a) [1.. Show that the given…

A: This question is based on standard equation of sphere.

Q: puit 2 x³ = x²y sir (22²) X tije xp

A: Solution of given question is written in below steps.

Q: Consider the following functions. f₁(x) = 9, f₂(x) = cos2(x), f(x) = sin²(x) g(x) = C₁f₁(x) +…

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Q: By the condition of a will, the sum of P 1.500 is left to a boy to be held in trust by her guardian…

A: Follow the procedure given below.

Q: Three men A, B, and C can do a piece of work in hours working together. Working alone. A can do the…

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Q: Evaluate tan(2x + 5)dx 0.0190 0.9899 0.0976 -0.0190 0.0967 0.00190 0.0109 0.9998 -0.0976 -0.8999…

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Q: Solve the remaining side of the spherical triangle whose given parts are A=B=80° and a=b= 89. A. 158…

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Q: Write an equation of the line that passes through (2.5, 1.6) and is perpendicular to the line…

A: Aim: To find equation of line passing through the point (2.5,1.6) and perpendicular to the line…

Q: DE 1. xy(5) y(4) + x²y"" = 2yy' TYPE ORDER DEGREE LINEARITY

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A: Let's find area between given cardioid and circle.

Q: Find the derivative of the logarithmic functions: y = ln (tan^2 θ )

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Q: The graph of y = f(x) is shown. Use the graph to answer the question. Find 2; -2 lim x→0- f(x) and O…

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Q: Solve the initial-value problem. dy = dx 4 √x for x ≥ 1 with y(1) = 3 The solution to the…

A: You must have idea how to find solution for differential equations.

Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

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Q: sketch the figures and show step by step solutions. Find the volume generated by the revolving the…

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Q: Let C be the curve y = 12 11 10 9 8 7 6 10 T 15 4 1 + for 0.6 3.7. 3x 25 3 Find the arc length of C…

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Q: Q4: Show if the series is convergent or divergent cos(n) n√n n=1

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: A tank contains 240 litres of fluid in which 50 grams of salt is dissolved.pure water is pumped into…

Q: Q4: Show if the series is convergent or divergent cos(n) n√√n n=1

A: Solution is given below:

Q: A study was made on the amount of converted sugar in a certain process at various temperatures. The…

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Q: K(r)= er tre k' = d (e^) + d dr " er + dr - (re) Help with this derivative

A: Topic = Derivative

Q: 3x 2. y = Ae³x cos x+Be³x sinx

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Q: Given this boundary-value problem: d²y y + d0² 4 which has the solution y = 2 sin(0/2), 0, y(0) = 0,…

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Q: 2. Find the area of the region inside the cardioids r = a(1+cos), a>0

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Q: Use the table of Laplace transforms to find the Laplace transforms of the following cos² 2t sint cos…

A: Topic:- Laplace transform

Q: Find the function F that satisfies the following differential equations and initial conditions.…

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Q: Consider the point P(-2, 1, 4) and the vectors Question 2 a = and b =. (a) Find the unit vector u…

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Q: Evaluate the limit using L'Hospital's rule 1 lim 6xe - 6x x →

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Q: عندما r = 3 cm تكون : ع. 115 V فان قيمة ب. 110 dv dr اذا كان ar3 113 j

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Q: Part 1 of 3 (a) Graph f(x)=3|x for x S

A: Solution ) f(x) = 3 |x|  x<0 Vertical dilation of scale factor 3 f(x) = -3x and x<0

Q: n=1 nvn Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the…

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