Use linear approximation to estimate the value of the following  cos(pi/4 +0.01)

Q: Consider the following series. Answer the following questions. Σ (x + 7) n 2n n=0 1. Find the values…

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Q: What is the volume of the solid generated when the region bounded by the graph of y = 4x, the…

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Q: Using Rolle's theorem for the following function, find all values c in the given interval where…

A: Given query is to apply rolle's theorem.

Q: Assume the functions below are continuous with domain all real numbers. (a) If f'(a) = 0, then x = a…

A: Given that:- The function is continuous with domain all real numbers

Q: find f'(x). Answer: f(x) - 5 sin x 1 + cos x

A: f(x)=5sinx1+cosxd dx(sinx)=cosxd dx(cosx)=-sinx d dx(ab)=b×d dx(a)-a×d dx(b)b2

Q: A rectangular field adjacent to a river is to be enclosed. Fencing along the river costs $5 per…

A: A rectangular field adjacent to a river is to be enclosed. Fencing along the  river costs $5 per…

Q: Please show your work (i.e., provide an explanation of your final solution) to receive credit. If…

A: C=d dx(f(x4)g(x23))d dx(xn)=nxn-1d dx(a.b)=a×dbdx+b×dadx

Q: Evaluate the integral. +C 3x + 0 x² - 4x + 20 da

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Q: (x)) = main of f(g(x)). (Enter your answer using interval notation.) (x)) main of g(f(x)). (Enter…

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Q: 6.2 Warm Up After Day 1 Calculus AB Sketch the region created by f(x)=-x² + 4x-5 and g(x)=-5. 1)…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Calculate the integral of f(x, y, z) = z(x² + y² + z²)−³¹2 over the part of the ball x² + y² + z² ≤…

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Q: Compute sin((t + 2))dt. 0-1/1/12 01/1/12 3 2πT O O- cold 3 2πT ONone of above

A: Given integral:- ∫01sinπ3t+2dt

Q: Find y' a) y = 2 tan (x) + 9 cos (x) y'= (b) y = 5 cos (x)= 4 x ² 'y'= c) y = y sin (x) = tan (x) -…

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Q: Find all critical points of g(t) t = t = = This critical point is ---Select--- (smaller value)…

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Q: Let R be the region in the first quadrant bounded by the graph of y = e, the z-axis, the y-axis, and…

A: Given :- Region R in the first quardrant bounded by the graph y=e-x,the x axis , the line x=b

Q: Compute the area of the region between the graphs of f(x) = sinx and g(x) = x in [9.1.

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Q: f(x) = cos² X-T 2 ; g(x) = sin(x) +ln(cos(x)); k(x) = cos(√x - √e) ln(√x - e); h(x) =…

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Q: The relationship between the price and the demand of a certain product is described by the equation…

A: Given price function  p + 0.03x = 143  p = 143 - 0.03x

Q: The slope of the tangent line to the parabola y = 2x² + 7x + 7 at the point (4, 67) is: The equation…

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Q: The general solution to the differential equation. expression for f (x) and its domain? A (В C D…

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Q: that the cords have been disconnected from the device. "Computer, how do I plug in these cables",…

A: f(x)=ln(3x) f'(x)=313x = 1x f'(c)=1c   it is required Red cord.

Q: Let f(x) f'(1) = = 4x²-3x+6 4x²+2x+8 Evaluate f'(x) at x = 1.

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Q: For each function a) find the critical points/numbers, b) intervals of increasing/decreasing, c)…

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Q: Use graphical addition to sketch the graph of f + g. y y f+g 2 f 2 2 f+g g 4 4 4 6 6 6 8 8 X 2 2 f+g…

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Q: A company estimates that it will sell N(t) hair dryers after spending $t thousand on advertising, as…

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

Q: Find dy/dx using the method of logarithmic differentiation In(x) (4+5 2)(a) when y = (4 + dy/dx =

A: y=(4+5x2)lnx  d dx(lnx)=1xd dx(xn)=nxn-1lnxn=nlnx

Q: b) y = 8 + 1 4x² on [1,2]

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Q: All Sections 1) Solve the following equations for t Jy evt = 2) Find the derivative of y with…

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Q: (a) The curve with equation y2 = 5x4 - x2 is called a kampyle of Eudoxus. Find an equation of the…

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Q: Find the gradient vector field of the function f. · cos(1) f(x, y, z) = 4x cos( Vf(x, y, z) = 4 cos…

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Q: Write out the form of the partial fraction decomposition of the function: - Sº A Determine the…

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Q: 2. Let a > 0 be a fixed real number. Determine whether dx xl+a [3 converges or diverges. If it…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: I. INTEGRATING FACTORS BY FORMULA 2 1/2 x 2x/x-2

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Q: Use f(x) = x - bln(x) to answer the questions below. Assume b is a positive constant and x > 0. (a)…

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Q: Let f(x) = 8x³ + 1. Find the open intervals on which f is increasing (decreasing). Then determine…

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Q: Let f(x) = 9x² - 4x + 8. Determine f(a+h). Simplify completely. f(x+h) = Determine f(x+h)-f(x) h…

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Q: A) 77. Shown above is a slope field for which of the following differential equations? dy x-y dx y…

A: The answer is in step2.

Q: Iff and g are functions that satisfy f'(2) = 3 and g'(2) = -1, find h'(2) for h(x) = 2f(x) - g(x) +…

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Q: 1. Find the equation of the line: a. With a slope of-through the point (6,4) b. Through the points…

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Q: parallel to 2i - 6j+ k. x(t) y(t) = = z(t) = = of un throt lat is

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Q: class of fourth graders walks to a park on a field trip. The function y = f(t) graphed below gives…

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Q: Given the integral x/6 sin t S s 6 csc t du dt over a region in the tu-plane, sketch the region and…

A: Please see the below picture for detailed solution.

Q: Suppose a product's revenue function is given by R(q) = -3q² +800q, where R(q) is in dollars and qis…

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Q: Find the derivate of this function]: 2 a) f(x) = 4x² + x + 9 at -5 f(-5) = b) f(x) = √√√x at 16 F'…

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Q: In a trend that scientists attribute, at least in part, to global warming, a certain floating cap of…

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Q: (3) Market researchers estimate that the percentage of households that have viewed a particular…

A: (a) To find the horizontal asymptotes of the function, we need to evaluate the limit of the…

Q: You are given the circle, x² + y2 = 25.

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Q: Find the critical points in the domain of the function f(x) = 8x³ - 7x.

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Q: Consider a college student who works from 7 P.M. to 11 P.M. assembling mechanical components. The…

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