La -x* + 2x - 1)dx

Q: f(x)

A: We will find the equation of tangent.

Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible…

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Q: Use the graphs to evaluate the expressions below. fx) 5- 8(x) 5- 4- 4 3 -1 2 4 5 6 -1 2 3 4 5…

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Q: Find the dimensions of the rectangle with maximum area that can be in- bed in the ellipse x²/a² + y²…

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Q: 2) Find all points on the graph of f (x) = 2 sin x + sin2 x at which the tangent line is horizontal.

A: Given fx=2sinx+sin2x To find points:

Q: 16j Use integral tables to evaluate, 3

A: I=32∫ 1x9x2-1 dxu=9x2-1du=18x29x2-1dxdx9x2-1=du9xHence;I=32∫ 1xdu9xx2=u2+19I=16 ∫ 9 duu2+1

Q: 8) The vertices are (2,4) and (2,8). Foci are (2,3) and (2,9).

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Q: Use linear approximation, i.e. the tangent line, to approximate √81.1 as follows: Let f(x)=√x. Find…

A: Explanation of the answer is as follows

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 2 %3D y + 5 =…

A: The given question has been solved in detail.

Q: Find the average height of the paraboloid z =x + y over the square 0sxs3, 0 sys3. ... The average…

A: Average height of the paraboloid over the square R is given by H=1Area of the square R∬fdAsee below…

Q: Find the area of the region between the graphs of f(x) = 6x + 8 and g(x) = x² + 3x + 2 over [0, 2].…

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Q: Find the average value TEX of the function f (x) =4sin cos on - 2 the interval [1,4].

A: Given problem:- f(x) =4 sin(πx/2) cos(πx/2)  To find:- Average value of the function over interval…

Q: Consider the following. x - 2 f(x) = x2 - 4 (a) State the domain of the function. O all real numbers…

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Q: y(x) = tan(v/3x² + In(5x*) %3D

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Q: 3 5 dx

A: To calculate the value of the given integral.

Q: 15 The population of a district is 600 000 at the beginning of 2015. The population P(n) of the…

A: We need to find A,r and % increase.

Q: A pharmaceutical company introduces a new headache medication on the market. They advertise the…

A: Explained below

Q: 6 Time Taken: Mins Secs The effectiveness of a certain medical injection is modeled by E(t) =…

A: We have to find the time when reading become sufficient and when reading become too low..

Q: 18. A farmer wants to fence in a rectangular plot of land adja- cent to the north wall of his barn.…

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Q: .2 y = x³ + x² у 3Dх* +x* — 4х, у — 2х

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Q: Researchers have found a correlation between respiratory rate and body mass in the first three years…

A: Here, the given function is: log R(w)=1.85-0.48log (w)...(1)

Q: ax+b 3. The curve y = y%3D has a local maximum at (2,1). x2+3 Determine the values of a and b.

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Q: The graph of the function f is given. y 6 y = f(x) 21 8 (a) By reading values from the given graph…

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Q: The demand equation for a certain product is 2p+3q = 1500, where p is the price per unit in dollars…

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Q: . What is the largest area of a rectangle that could be inscribed in a semi circle having a radius…

A: We have to find largest area of rectangle that can be inscribed in a semicircle having a radius of…

Q: a) Determine if the geometric series below is convergent or not. 8" -1 Σ n=1 7h +1 The series is…

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Q: The linear approximation at x=0 to sin(6x) is A+Bx where A is:    and where B is:

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Q: Find the derivative of g(x) = 6 + 8x4 at x = 1. ANSWER: g (1) = (Again, your final answer should be…

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Q: 3. Compute the scalar line integral 3 y – xz ds where C is the line seg- ment from (0, 1, 1) to…

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Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by g = (95 -…

A: Given,  q=95-2p2 Recall: Revenue=p*q

Q: 4.1: 8) A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the…

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Q: x2 dx (3x3-4)5

A: We need to evaluate integral.

Q: Determine the Taylor polynomial of degree 3 for the solution to the initial value problem 1 y' x + y…

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Q: K to to Match each equation with a graph above O 2(0.72)" a. blue (B) O 2(1.2)" O 2(0.81)" O 4(1.2)"…

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Q: For each sign chart for f'. Carefully sketch the graph of both functions f and f'. Upload your work…

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Q: -............... ...................... ..…

A: Solution is here

Q: 3 tanh (In(4x)) sech" (In(4x)), I) y = tanh (In(4.x)) [y

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Q: Find the dimensions of a rectangle with area 1521 metres squared whose perimeter is as small as…

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Q: Using the graph answer: f(2) g(2)

A: We now that ,in  y=f(x) , x is values in domain and f(x) is the values in co-domain, Therefore here…

Q: Contimuity 4. Let f(z, y) be a function defined on a disk D not containing the origin which is given…

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Q: 2 3x-x² lim х>-2 \x-х-6. х2 —х-6

A: A detailed solution is given below

Q: Find what is asked for each item. Provide a solution for each item. 1.у %3 (2x³ + 3x? - 4x - 5)? ,…

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Q: The piecewise function f(x) is graphed below. Use geometric formulas to evaluate the following…

A: From the given graph;

Q: Find an equation of the inverse relation. x°y= - 7 Choose the correct equation below. O A. x'y=7 O…

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Q: Find the derivative of f with respect to x of f(x)=ln x8.

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Q: Let A = (-1,2, 0) and B = (2, – 1, 3). Determine the following: (а) 2A В (b) angle between A and B…

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Q: Find the area between the following curves: x = y +1 and x = y² – 1

A: topic - area bounded by curves

Q: - 1)*dx

A: ∫02 (x-1)2dx ∫02 x2 -2x +1dx [x3/3 -x2 +x ]02 8/3 - 4+2 -0 8/3 -2 (8-6)/3 2/3

Q: x - 1 y + 1 4x + 5y = 10, - -z - 7 = z - -4 х, у, г) - Determine whether the line lies in the plane.…

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Q: So what is the square units

A: Apologies for the inconvenience. The correct solution is given below: Given function is: fx=ex7 from…