Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the function and the x-axis over the given interval. (Round your answer to three decimal places.

Q: Find an equation of the line tangent to the graph of G(x)=3e−6x at the point ​(0,3​). y=

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Q: Calculate the limit for the function f(x) = x + 4 over the interval [0, 4]. Verify your answer by…

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Q: / x + 1 x² + 2x dx

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Q: dy (y-1)√y²-2y-3 S.

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Q: A graphing calculator is recommended. X is called a serpentine. 1 + x2 (a) Find an equation of the…

A: To solve the following problem and further plot

Q: Find the derivative of y with respect to x; where x = 2 sin t & y = 4 cos t.

A: Given:        x=2sin t       y=4cos t here differentiating with respect to t       dxdt=ddt2sin t…

Q: 2. Compute the following limit. If L'Hopital's rule is used at any point in your calcula- tion, make…

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Q: Find the slope passing through the two given points. 1.) (1,-3) and (0,1)

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Q: Estimate f(-1.02, -0.97) given that f(−1, −1) = 3, fx(−1, -1) = −2 and fy(-1, -1) = −1.

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Q: Evaluate the following definite integrals using the basic rules (and change of variable, if…

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Q: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the…

A: Given : A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch,…

Q: Find the average value of the function y = 35 - 2x on the interval [0, 4]. O 31 10 O 20 O None of…

A: The Answers are given below

Q: 2. Solve the following equation. Round your answer to the nearest hundredth. Answer: ex – gex + 18 =…

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Q: Use a local linear approximation to estimate the value of 26.46. calculator.)

A: NOTE: Refresh your page if you can't see any equations. . here we need to find the cube root of  so…

Q: The figure above shows the graph of the continuous function f. The regions A, B, C, D, and E have…

A: The area of region A =5It is above x - axis therefore, ∫-7-5f(t)dt = 5The area of region B =2That is…

Q: lim 1→3 n 2 i=1 1 n1+ (2i/n)

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Q: (2-1)(x-2) (shape a++)

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Q: Find the general solution to the given differential equation. (Remember the constant of…

A: NOTE: Refresh your page if you can't see any equations. .

Q: sinking fund is established to discharge a debt of $40,000 in 5 years. If deposits are made at the…

A: Given query is to find the amount of each payment.

Q: have found the minimum distance using the second derivative and write a thorough conclusion. to a…

A: Given:    Curve      y=lnx2   Let x,y be point on curve             Another point is 52,0 We know…

Q: couple believes they can afford a monthly house payment of $2,100 and would like a 30-year…

A: Given query is to find loan amount.

Q: Find the slope of the following lines.

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Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). 818 8118 Provide your answer…

A: Given query is to find indicated limit.

Q: 73. Which statement determines if set x is a proper subset of set lyl? 1. 2. 3. 4. x.issubset (y)…

A: If there are Two sets X and Y, such that X is a proper subset of Y, it means Y contains all the…

Q: Let ƒ be the function given by f(x) = ln (23). What is the domain of f?

A: The answer is given below

Q: | 4 x² + 4x + 8 A -dx = 4 ln x² + 4x + 8) + C

A: NOTE: Refresh your page if you can't see any equations. . .................(1)

Q: 1. A trough is to be made following the dimensions given in the figure below. The lengths of the…

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Q: dx (6-x²)z 1.ſ. 3

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Q: How many of the following statements is/are true? In(xy) = (lnx) (In y) • The slope of a line…

A: To determine the number of statements that is/are true.1 lnxy=ln xln y2 The slope of a line tangent…

Q: Find an equation of the tangent plane to the surface z = 2y² – 5x² at the point (2, 0, -20). Z

A: NOTE: Refresh your page if you can't see any equations. .

Q: The first derivative, f'(x), of a polynomial function f(x) is given below. Use this derivative to…

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Q: Write out the first three terms of the Maclaurin series for f(x) = 13 1+ The expression for the…

A: NOTE: Refresh your page if you can't see any equations. . substitute x=0

Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 9…

A: Topic = Area

Q: Consider two nonnegative numbers x and y where x + y = 2. What is the maximum value of 11x²y? Enter…

A: Let's find maximum value of function.

Q: 38. When air expands adiabatically (without gaining or losing zi heat), its pressure P and volume V…

A: To determine the rate at which volume is increasing

Q: Calculate the directional derivative of f(x, y) = x³y² in the direction of v= 2i - 2j at the point P…

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Q: Find the gradient of the function f(x, y, z) = zy², at the point (0,-1,-1) ▼ƒ(0, −1, −1) =

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Q: 71-2 1 √n Inn

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Q: Find equations of the tangent lines to the curve X 1 x + 1 that are parallel to the line x - 2y = 5.…

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Q: If a company has total costs C(x) = 10,000+ 15x + 0.2x² and total revenues given by R(x) = 265x…

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Q: Write each equation in polar coordinates. Express as a function of t. Assume that r > 0. (a) y = -9…

A: NOTE: Refresh your page if you can't see any equations. . use the cartesian to polar substitution…

Q: Find the | y' = 12x³ – 12x² – 12 Oy' = 6x² + 6x Oy' = 6x² - 6x Oy' = 12x + 6 derivative if y = 2x³ +…

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Q: X , 0≤x≤6000. A company manufactures and sells x television sets per month. The monthly cost and…

A: The solution is given below

Q: Try again Practice similar r answer is incorrect. 2 attempts remaining. the equation of the tangent…

A: We have to find the equation of the tangent plane from the given information

Q: A box is to be constructed from a piece of zinc 10 in. square by cutting equal squares from each…

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Q: Solve the formula for r. 1 n=f+c+ = r

A: The given formula n=f+c+16r We have to find the formula for r.

Q: 39. What is k, if the function f is given by f(x) = x3 has an average value of 9 on the closed…

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Q: (a) The Cartesian coordinates of a point are (1, 1). (i) Find polar coordinates (r, 0) of the point,…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Determine the vertex, focus, directrix and axis of symmetry of the parabola with the given equation:…

A: Given Equation:- 3y2+8x+24y+40=0

Q: fix√x²+2x+5dx

A: To evaluate the following integral. ∫13xx2+2x+5 dx