14 Approximate (x - 4) dx using 4 rectangles. It is approximatley (If necessary, round to two decimal places. Do NOT round until the end of the problem.)

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Q: The number c that satisfies the Mean Value Theorem for Integral of the function f(x) = x² – 5x + 6…

A: Given,            fx=x2-5x+6 on the interval -2,3.To find : Find the value of c that satisfies the…

Q: in 5-- 2 34 6. Graph of f The graph of the function f is shown above. Which of the following…

A: here we can see than the f(x) is discontinue at 4  so if function is discontineous it means the…

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Q: Identify the range of arctan(x) so that the relation is a function. ) - TI< y< 7[ 00<y<

A: here range of arctan(x) is -π/2 to π/2 because if we put π/2 it give infinte value  so range…

Q: Question 8 The magnitude, M, of an earthquake is measured using the Richter scale. The scale uses a…

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Q: lim, 1 f(x) = %3D

A: limx→a f(x) =L if and only if limx→a- f(x) = L =limx→a+ f(x) .

Q: iut n=1 Find the radius R of convergence for the series

A: Just use the formula of Radius of convergence and find it. Radius of Convergences, R= 1

Q: ANSWER

A: We have to calculate the given indefinite integral according to the given information

Q: Use an improper double integral to find the volume of the indicated solid. z = e-(x + y)/7 0s x < 00…

A: Volume , V = ∫∫R f(x,y) dy dx

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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Q: 8. Let V be the volume of the region inside the sphere r2 + y? + 2? = 6 that %3D lies above the…

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Q: If f(x) = (1 − x)2 and g(x) = 8 − x, find f(g(x)) and g(f(x)) f(g(x)) = g(f(x)) =

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Q: 1150 15" 26" The total length of a windshield wiper arm is 26" The wiper blade itself is 15" The…

A: shaded area = total area - mechanisum area shaded area = θπR2/360 - θπr2/360 where R = 26 r= 15 θ =…

Q: Use an iterated integral to find the area of the region. dy dx = y 6 5 4 3 2 1F -1 1 2 4

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find the solutions of the system of inequalities by graphing: 2x – y 0

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Q: Solve the initial value problem: y" - 12y' + 36y = 0 ; y(0) = 2/3 , y'(0) = 0

A: We want to find solution of the given initial value problem.

Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = e^t…

A: Just put the exponential term value from one equation into the other and easily eliminate the…

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: Using shell method volume is estimated.

Q: If f(x) = x2 + x and g(x) = x − 8, find f(g(x)) and g(f(x)). f(g(x)) = g(f(x)) =

A: Given problem:- If f(x) = x2 + x and g(x) = x − 8, find f(g(x)) and g(f(x)).   f(g(x)) =   g(f(x)) =

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A: Given: fx,y=x2+y2 The constraint equation is: gx,y=x+2y-20

Q: Use the properties of logarithms to expand log Each logarithm should involve only one variable and…

A: The objective of the question is expanding the given function.

Q: 2. Let f(x) be a function of period 27 such that f(r) = over the interval 0 < x < 2n. 2 a) Sketch a…

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Q: yA (b) Economists study two functions: R(1) and C(r) which are the revenue and cost when r units of…

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Q: Sketch a graph of a function that satisfies each of the following. (Feel free to use the circles to…

A: Answer is in step 2 and it is done by using the given conditions.

Q: Let y = sin(2x). If Aa 0.3 at a 0, use linear approximation to estimate Ay Ay = Find the percentage…

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Q: graph of the function arcsec(x).

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Q: Write each pair of parametric equations in rectangular form. Then sketch the curve. 8) x= 4cos t+ 1,…

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Q: Q1 (- Use the comparison test to verify that the following series converges: 1 n =17+n6

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Q: f(x) = = hen -6x I+3 f'(3) =?. (Answer accurate to 2 docimal

A: Given f(x)=-6xx+3f'(x)=ddx-6xx+3…

Q: _9. Which of the following is equal to fo°dt? A. e C. ex+C D. et +C B. e° +C _10. What should be the…

A: Given data÷

Q: Find the solution to   x′=y y′=12x+4y   if x(0)=0 and y(0)=5.

A: we have to solve system of differential equations

Q: 2. A golf ball is thrown up from the surface of Planet X (a made-up planet). The position s of the…

A: s(t)=-0.6 t2 +48 tvelocity is obtained by differentiating position functionv(t)=s'(t)=-1.2…

Q: Find the solutions of the system of inequalities by graphing: x + y > –1; 2x + y < -3

A: x+y=-1y=-x-1(line with negative slope and intercept -1)2x+y=-3y=-2x-3line also with negative slope,…

Q: Solve the problem. Given the velocity and initial position of a body moving along a coordinate line…

A: We can solve the given problem as follows:

Q: 4. Ricardo is taking a trip from Arizona to Yosemite National Park in California. The gas mileage in…

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Q: Consider the curve y = 4x3. The sketch of the portion of this curve between x = – 1 and x = 8 is…

A: Arc length formula:L=∫ab1+dydx2 dxy=4 x23dydx=423 x-13dydx=83 x-13

Q: Find the solutions of the system of inequalities by graphing: æ + y 1

A: Explanation of the answer is as follows

Q: Evaluate the triple integral / z dV where E is the solid bounded by the cylinder y? + z2 = 441 and…

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Q: 2х x-1 lim X-3 6- 2х

A: Solving the problem by finding the value of the limit.   NOTE :: As per our Expert guidelines we are…

Q: Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify…

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = = arctan 2, (9,…

A: Follow the procedure given below.

Q: Consider a triangle AB C like the one below. Suppose that B=42°, C=65°, and c=47. (The figure is not…

A: Given B=42°,C=65° and c=47We know sine rule is sin Aa=sin Bb=sin…

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A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: The order and degree of the following equation is dy y = px – Va?p² – b²,where p = dx

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Q: Knowing that harmonic series is divergent, which of the following series is also divergent by Limit…

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Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 1 is…

A: Use the disc method to find the volume of the solid.

Q: Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x-y+z=2 and…

A: General equation of plane is taken and given planes are used.

Q: _13. What is § 2sinx cos x dx? cosx A. In2 +C В. C. +C +C D. In2 _14. Which of the following has…

A: We use the method of substitution to  solve the given differential equations

Q: 8. (Section 4.3) A motorboat is traveling at a constant velocity of 5 meters per second when it…

A: Given,            A motorboat is traveling at a constant velocity of 5 meters per second when it…