For the following graph of a function, estimate the area under the curve in the interval [-5, 1] using the midpoint approximation and 3 rectangles. 10

Q: Find the cost function if the marginal cost function is C'(x) = 6x -7 and the fixed cost is $7.

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Q: At t = 0 the tank was empty. (3.9) (s.9) .(12,9) gal min 7 10 min (9,-4) How many gallons were in…

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Q: Evaluate the integral: So sin(x)dx *Input answer as decimal round-off to 2 decimal places.

A: We need to find the integral : ∫0πsin (x)dx

Q: -2ln(cosx) 03. lim, »0 x2

A: The given limit is: limx→0-2lncosxx2   As we know that; The Chain rule: fgx'=f'gx·g'x

Q: Q4: Solve the following exact differential equation: 2xydx + (1 + x2)dy = 0

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Q: Evaluate the integral: S2 (2x + 6) dx Input answer as decimal. Round off to 2 decimal places.

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Q: The graph below is the function f(x) 4 -8 -7 -6 -5 -4 -3 /-2 -1 I 2 3 -2 -3 -4 -5- -7 lim f(æ) = x →…

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Q: Given: f(x) = 60x3/4(40000-x)1/4 Task: Find f'(x).

A: Here, the given function is: f(x)=60x34(40000-x)14 We use the product rule and chain rule here,…

Q: Find the Rlemann sum for f(x) = x + 3x over the Interval [0, 8] (see figure), where %3D *. = 0, x, =…

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Q: ind a parametric equation for the line that is perpendicular to the graph of the equation 3x + 4y +z…

A: We find  a parametric equations for the line that is perpendicular to the graph of the equations 3x2…

Q: Express the slope of each diagonal line (the one side of each shape which is not horizontal or…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the…

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Q: dA; R= {(r,y): 0srs1,1 sys 4}.- %3D IR

A: Topic: Double integration over a region R

Q: PROBLEM 5: Find the general solution to the given differential equation using a method of your…

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The Solution of the…

Q: Find the constant a such that the function Is continuous on the entire real Iine. 7sin x If x <0…

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Q: dy Use implicit differentiation to determine dz given the equation zy + cos(z) = e".

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Q: 1- y = %3D 2yt+1 y(1) = -2 2- y'3 =? -2xy %3D 1+r2 y(2) = -5

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: (c) SUPPLY RATE When the price of a certain commodity is p dollars per unit, the manufacturer is…

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Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

A: Here, we want the two real numbers, suppose x and y, such that  x+y=46 And, the produce xy is…

Q: Solve the following differential equation: dv = Vcoto + V³cosece OP

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Q: 4 2. y =,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n C. u. )

A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

Q: 3) Graph the function over the specified interval. Then use the simple area formula from geometry to…

A: This question can be solved using the concept of graphs and derivatives.

Q: A Evaluate the following integrals. 1. fx² In x dx 2. S tan-ix dx

A: Let I=∫ x2lnxdxApply integration by part,I=ln(x)∫x2dx-∫ddx(ln(x)∫x2dxdxApply power rule…

Q: Find the one-slided limit (If it exists). (If the limit does not exist, enter DNE.) -6 lim x-4 (x-…

A: Given limx→4- -6(x-4)2 Apply the constant multiple rule limx→4- c f(x) = c limx→4-f(x) with c=-6…

Q: 11. If m = 13 + 2\/42 a. Find the value of ym b. Find the value of m 1 c. Show that, m²Vm + 12987 m²…

A: A detailed solution is given below.

Q: Find the derivative of the function at Po in the direction of A. fxy) - - 2ху - 5у, Ро(9, - 4), А-D…

A: To find the derivative of the function at P0 in the direction of A.fx, y=-2xy-5y2, P09, -4, A=-3i+3j…

Q: Q3/ The dimensions of a rectangular solid at a given instant (t.) are: L(t.)= 13 cm. W(t)-9 cm.…

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Q: Suppose F(4) = 2, F(5) 7, and F'(x) = f(x). - (x° + 10f(x) + 1) dæ

A: Follow the procedure given below.

Q: QI: A) Solve the following initial-value problem: x e* dx + (y- 1)dy = 0; y(0) = 0 %3D B) Solve the…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: For the given power series, which one is the interval of convergence? x2n Σ (-3)" n=1

A: We can solve this as follows:

Q: Evaluate the integral: V3 S arctan () da *Input answer as decimal round-off to 2 decimal places.

A: Given :∫13arctan1xdx

Q: Cnudan a pundre uuofree shrse trces nre prrabolae le » k).prrabolae ly - k). and kyyorobolne g = k).…

A: To find the quadratic surface whose traces are parabola(x=k), parabola(y=k) and hyperbola(z=k).

Q: 1) Find the value of C that make the function continuous at x-1? x 1 -

A: We have given piecewise function  Function is continuous at x=1 if  f1+=f1=f1- f(x) = C-x        if…

Q: 6. the vorume formed by revolving about OY the area in the first quadrant bounded by y-4ax, y-D0,…

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Q: S(x4 – 4x5

A: Evaluate the integral

Q: n the appropriate interval of convergence, we know that then we can deduce, by applying the ormula…

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Q: 1 dA; R = {(x, y) : r² + y² s 4, r 2 0, y 2 0}. /16- r2 – y?

A: Using polar coordinates, integration is evaluated.

Q: 2 Findd eigenualy gse for -57 OA- to 17 -7 L-4 26

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Q: x/2 dy 2. - ५ = sin x dy +34 d x 2- X 2

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Q: . Find the area of the region bounded by the two curves y = x3 + 3x2 + 2x and y = 2x? +4x.

A: As per Bartleby guidelines rule I am answering only first question because the second question is…

Q: Limit of a graph. Please explain.

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Q: tan (6æ)sec (6æ)dæ Evaluate + C

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Q: f f(X) = sin 2x then f(X) = CoS (2x) f f(X) = sin 3x then f(X) = -3 cos (3x f f(x) = 2 cos x then…

A: a. Given f(x)=sin2x   Then f'(x)= 2 cos2x    B.   F(x) = sin3x       F'(x)= 3 cos3x

Q: csc x (cos? x – 1) dx

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Q: y2+x2 5- y' %3D y(1) = -2 xy

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Q: Find Mx for the area bounded by y^2=4x and x^2=4y.

A: Given problem:- Find Mx for the area bounded by y2 =4x and x2 =4y.

Q: 3 csc 6x 07. lim,-n12 'xn/2 csc 2x

A: Given;  Limx-pi/2  3 csc6x/(csc2x)

Q: Find the cost function for the marginal cost function. 0.05x. C'(x) = 0.03 e fixed cost is S10 C(x)…

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Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences. 4. 3, 6, 12,…

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