Evaluate the indefinite integral. cos x tan³ x dx 3

Q: If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 7...

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Q: find the area between the curves 2x^2+4x+y=0 and y=2x

A: Given that: 2x2+4x+y=0    and   y=2x

Q: anager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $5400 t...

A: Given query is to find linear relationship, slope and the graph.

Q: The transformation of a function f (x) into a function g(x) is given by g(x) = Af(Bx + H) + K. %3D w...

A: Topic = Functions

Q: The table gives the output values that a function assigns to given input values. Input (x) Output ...

A: Given table Input (x) Output (y) −2 −8 4 10 9 25 12 34

Q: Question 6 Maximize z = 8x + 2y subject to: x+ y<4 2x + y s 5 x2 0, y 20 The maximum is 20 at (2.5,0...

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

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Q: Evaluate using trigonometric substitution ∫1/(4x^2+16)^3/2 dx

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Q: sin ( 5z) If y = (5x) then dy dx (Be sure to express your answer in terms of x)

A: To find derivative, we will first take logarithm on both sides and then differentiate it .

Q: Determine the second derivative of y = V5x² + 1 Determine the third derivative of y = (x² – 1) (2x³ ...

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Q: E) + ») dy = 0 4x3 3 dx + y 3x

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Q: ind the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider ...

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Q: Error Analysis. Below is the solution (possibly, with errors) for the derivative of the given functi...

A: Given f(x)=3x-7 Formula ddx(x)=12x or ddx(xn)=nxn-1 Consider f(x)=3x-7=(3x-7)12 differentiating with...

Q: The graph of the derivative f' of a continuous function f is shown below. (Assume f' continues to co...

A: As per Bartley guidelines we are supposed to answer only three subparts of one question.  This post ...

Q: V1+xl/n dx = n/ u/²(u- 1)"-1 du

A: We have to prove given integral function.

Q: Q No 3.Evaluate (a) S - (1-cosx}idx (cosz(1+cosx)(2+cosz)jå (b) S **(cos"i 3=)*dx Vi-92

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Q: Let s(t)=4t^3+48t^2+180t be the equation of motion for a particle. Find a function for the velocity....

A: This function is related to motion of partical. Solve in step 2.

Q: For the graph of e^-cosx what would the coordinates be (x1,y1)., The point where y’(x)=y(x)?

A: QUESTION- For the graph of e^-cosx what would the coordinates be (x1,y1)., The point where y’(x)=y(x...

Q: Find dx/dy if y=4/square root sec x

A: Given query is to find the derivative of the expression.

Q: Evaluate the integral. (If the quantity diverges, enter DIVERGES.) ∞   0xe−x dx

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: Find cot (3pie)/4 without using a calculator.

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Q: State whether the equation (증)2- (주))- (3)"-1 defines (enter number of statement): 1. A hyperboloid ...

A: We will state the given equation in the following step.

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the s...

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Q: 4) lim Vx + 2 DNE x--2- 5) lim f(x) DNE, given that f(x) = {*+1 if x<2 (x-4)2+3 if x22 x-2

A: Topic:- limit Calculus

Q: Consider the function (* if a 1 Evaluate the definite integral. f(x) dr

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant mult...

A: The logarithmic expression is given by lnx2yz Formula Used: lnm·n = lnm+lnn, lnmn = nlnm and lnmn = ...

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: Polar equations find the eccentricity Identify the type of conic Write an equation of the directrix ...

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Q: Find the limit. est - 1 lim t-0 sin(t)

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Q: The annual net income of General Electric for the period 2009-2013 could be approximated by P(t) = -...

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Q: Let h(x) = f(x)*g(x), and k(x) = f(x)/g(x). g(x) has points (-2,-1), (-1,-2), (1,0), and (3,2). f(x)...

A: see below the answer

Q: 4 - 3 + – Find the limit of f(x) = as x approaches o and as x approaches - ∞o. 9. 9 - X

A: Find the limit of the function .

Q: Evaluate the integral 7sin^2(x)cos^2(x)dx, from 0 to pi/2

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Q: lim (x² + 1) = L x→2

A: Topic:- calculus

Q: roblem in neat and orderly manner. nogenous linear equations:

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Q: EXERCISE 2.3.1 Find D (-13). EXERCISE 2.3.2 Find D (8x). EXERCISE 2.3.3 Find D (x"). EXERCISE 2.3.4 ...

A: Topic = Derivative

Q: A quadratic function f is given. f(x) = x2 − 4x + 5   Express f  in transformation form.

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Q: Determine the range to the function f(x.y)=xtX.if the domain is given by the inequality 2x²+y²s4

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Q: Write the following in terms of sine, using the cofunction relationship. cos(5π/9)

A: We have to write in sin form.

Q: For the cost function, find the marginal cost at the given production level x. State the units of me...

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Q: Match the given equation with the verbal description of the surface: A. Circular Cylinder B. Cone C....

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: What would the slope of the tangent line be at the point 3,3 on the folium of Descartes x^3+y^3=6xy ...

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Q: Weather balloons are filled with hydrogen and released at various sites to measure and transmit data...

A: Given query is to find the the linear function and time taken to completel full the balloon.

Q: The table below shows some ordered pairs for an exponential function ff. x 0 1 2 3 f(x) 51.2 6.4 0....

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Q: Use the rules of differentiation to find the derivative of the function. f(x) = V f "(x) )%3D

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Q: The x(x² + x} dx has the value of 80 49, 49 60 49 50 а. b. 70 d. C.

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Q: Jse the Quotient Rule to find the derivative of the function. cos(t) f(t) (t)

A: We will use the quotient rule of differentiation to find the derivative.

Q: 2. A continuous function f is defined on the interval [-2, 2]. The values of f at some of the points...

A: As per our guide line if multiple questions are posted we are supposed to answer only the first one ...

Q: x- 9 lim x-9 x²- 81 2.

A: Topic   = Limits