Consider f(x) = cr -1 1/2).

Q: The graph below is the function f(x) -5 -4 -2 -1 Í 2 3 4 -2 -4- Determine which one of the following...

A: From the graph we can clearly see that the value  at -1 of f(x) is 1. We check the limit of f(x) at ...

Q: Write the rectangular equation (x + 5)² + y² = 25 in polar form. Or=-10sin 0 Or = 5 Or= 5cos 0 r = -...

A: Recall: To change a Rectangular  equation to a polar equation just replace x=r cosθ   and y= r sinθ

Q: Given the function f: R3 Rf(x,y, z) = e*+y +x2z use the chain rule to find , and . ar ar' ae

A: (5) The given function in three dimensions is: f(x,y,z)=ex2+y2+x2z .....(1) In cylindrical coordinat...

Q: Find the area of the region bounded by the curves y = 6 – x² and y = x + 4.

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Q: Find the seventh partial sum of 13, 22, 31, 40, 9

A: The given sequence is 13, 22, 31, 40, ...To find S7

Q: (a) All the local maximum and minimum values of the function and the value of x at which each occ (х...

A: We know that, Local maxima is a point where both the sides of that point have values lesser than tha...

Q: In x - direction (+ -) - Fu + P,A,- P3A3 cos 40° m, V, cos 40° - m, V. F = P1A,- P3A, cos 40° + m, V...

A: To identify for True or False.

Q: 2 What is the value of f'(0) if f(x) = (x² – 2x – 1)3? %3D 4 3 Option 1 Option 2 4 2 3 3 Option 4 Op...

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Q: Find the derivative of the function. InV y = In 6 - X %3D y' = %3D

A: Explanation of the answer is as follows

Q: The sum of three positive number is 30. The first plus twice the second plus three times the third a...

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Q: Recall that the slope of a non-vertical line is a measure of the number of units the line rises (or ...

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Q: Find the rate of change in attendance for t = 10. Interpret your answer in terms of attendance and w...

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Q: Which of the following statements about the series (-1)" 1+ yn 00 is true? A The series converges ab...

A: Given: To test the series ∑n=1∞ -1n1+nResults:(1) Leibnitz's Test:let ∑n=1∞ an be the series of real...

Q: L{3t – 5 sin 2t}

A:   To find the Laplace of the given function  L3t - 5 sin 2t

Q: Given: F(x) = 2x2 + 1, G(x) = 2x - 1, H(x) = x G-1(x) = (x + 1)/2 -2x + 1 2(x + 1)

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Q: Find a function y(x) such that y'(x) = x² In(x³) – (x² + 1)¯ and y(1) = 2.

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Q: Use the dynamic points to graph the polynomial p(x) = (x + 1)° (2 x – x²). The fixed points represen...

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Q: af is lim if f(x) x2 he limit does not exist.

A: Please refer to the image below

Q: Consider the direction field of the differential equation 3 dy I+3 1. but do not draw the direction ...

A: Given differential equation is dydx=y(x+3)3-1  

Q: A graph of a function is given. Use the graph to find the indicated values. y f 4 X 0. 4. (a) f-1(1)...

A: Explanation of the answer is as follows

Q: compute f'(x), let's start with the derivative and ask you to figure out which function was differen...

A: The derivative of function is given as :- f'x=42-2x+cosx-x-32 find fx

Q: das Similarly, evaluate f(x) for the values below, and complete the table. 3.5 3 2.5 2 1.5 f(x) 1.75...

A: In question we need to find f(x) and complete the table.

Q: Five thousand kg of steel containing 8% nickel is to be made by mixing a steel containing 14% with a...

A: Given:- Five thousand kg of steel containing 8% nickel is to be made by mixing a steel containing 14...

Q: the derivative of f(x) = (2+ 3x)² (5x² – 3)ž

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Q: Find an equation of the line that passes through the point and has the indicated slope. Point Slope ...

A: Topic -equation of line in point slope form

Q: Bothx and y denote functions of f that are related by the given equation. Use this equation and the ...

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Q: Compute the derivative of the given function. f(x) = 2x" + 1.9x8.7+ 8.7. Note: Use pi for 7 in your ...

A: The first question only has been answer below by following the Bartleby guidelines.

Q: Graph each point on a polar grid. R(3.- 255°) 90° 120° 60° 150° 30° 180° 210° 330° 240° 300° 270° 90...

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Q: The graph of a function f is given. Use the graph to estimate the following. (Enter your answers usi...

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Q: 1 3 .5 4 X +x

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Q: Calculate the average rate of change of the given function over the given interval. Where appropriat...

A: As we know that the expression for the average rate of the change over an interval a,b is: Average r...

Q: The slope of the tangent line is the limit of the slopes of the secant lines. Thus, to estimate the ...

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Q: x³y5 dx + (x*y* + 1) dy = 0

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Q: 3. at the point T = - 3 Estimate the instantaneous rate of change of h(x) %3D Your answer should be ...

A: we need to find instantaneous rate of change.

Q: Calculate the average rate of change of the given function f over the intervals [a, a + h] where h =...

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Q: =sec? Ge) 2. cos'(x) tan(x) df da (3) If f(x) = In find You do not need to simplify. 4x-7

A: we know that  d/dx(In(x))=1/x d/dx(u/v)=(v du/dx-u dv/dx)/v^2 d/dx(tanx)=sec^2(x) d/dx(xn)=nxn-1  

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is ...

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Q: Find the derivative of each function. h(x) = (4x³ + 8x)(16 – 5x³) 145x7 – 240x4 – 192x4 + 128 -160x7...

A: We know that the power rule of derivative and constant rule of derivative . ( c •x n ) ' = c • ( x n...

Q: dx Evaluate the integral J25 Vx² +25x 225 V3 sech (In x) dx Evaluate the integral J,

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Q: A so-called Norman windoW consists of a rectangle surmounted by a semicircle as shown in the diagram...

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Q: Calculate the average rate of change of the given function over the given interval. Where appropriat...

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Q: Use limits to evaluate the integral. | 7x* dr dx 14 2 O 28 112

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Q: Calculus Question

A: Solution- 

Q: Use a graphing utility to graph the function and estimate the limit. Use a table to reinforce your c...

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Q: Write 5(cos109° + isin109°) in rectangular form. Round numerical entries in the answer to two decima...

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Q: If f(x) dæ = 18, then -5 | (F(2) + 4) dæ is equal to:

A: Using addition rule of integration & given.

Q: The product of the first term and the 6th term of an arithmetic sequence is -38. The sum of the 3rd ...

A: Topic - arithmetic progression

Q: For each positive integer n 2 0, let P(n) be the formula 3n+1 – 1 1+3 + 32 + ... 3" 2

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Q: substrate 1+ ax 38. Environmental studies are often concerned with the azyme is un- portional to rel...

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Q: -2+h Evaluate the limit lim h

A: The objective is to evaluate the limit.