Express what you have learned from the lesson/activities by answering the questions below. 1. Mention the difference between explicit and implicit functions. Briefly explain your answer. 2. How can we differentiate implicit function? Explain your answer briefly base on

Q: 0.74-1 k-1

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Q: 1/8 | x In (8x)dx

A: To find the value of integral substitute 8x=t

Q: Write an equation for the function graphed below -7 -6 -5 -43 -2 5 6 7

A: y=0at x=0, 3vertical asymptotes;x=-1, x=4There are no maxima or minima.y=x(x-3)(x+1)(x-4)

Q: Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become les...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Find the area of the triangle with vertices P(1,6, –5), Q(0,0, 0) and R(2,3, 1). NOTE: Enter the exa...

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Q: Find the volume of the following solid. The solid above the region R= {(x,y): 0<x<2, 0sy<4-x} and be...

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Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the double-...

A: tanu = 5/13 other side of triangle = 194 cosu = 13/194 sinu = 5/194 sin2u = 2*cosu*sinu sin2u = 2*13...

Q: 4 secx dx tan ?x+ 2tanx +5

A: Solved below

Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the l...

A: topic- application of derivatives

Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 40 Cos 40 d0

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: Volume of a tetrahedron with adjacent edges given by the vectors u,v,w is given by, V= |u.(v×w)|/6

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Which is the better base for working with exponents and logs : e or 10? Justify your answer.

A: log with base e is better for working with exponents.

Q: {(-1)"nl° Зп — 1 {an}=1 00 n=1 8

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Q: Consider the initial value problem y = sin(xt), y(4) = 1 Use Euler's Method with five steps to appro...

A: Based on the general formula of eular's method we will solve the problem. Please follow the procedur...

Q: Consider the initial value problem y = sin(at), y(4) = 1 Use Euler's Method with five steps to appro...

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Q: 1. cos² 2t dt

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Q: Consider the points A(3, –3, 5), B(5, –5, 2), C(-1, -4, 2), and D(4, 1, –8). (a) Find the volume of ...

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 40 v cos 40 d0

A: We can find the integral as below.

Q: dy for the following expressions. d.x Problem 15: Find a) y(x² + 8) = 64 b) r³ + y³ : 6xy

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post ...

Q: How can we determine this unit circle by filling them?

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Q: S (5x - 3x + 5) dx %3D

A: recall: ∫xndx=xn+1n+1+C

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its ...

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Q: 2) f(x) = x +: [1,3] a- Determine whether the Mean Value Theorem applies to the given function on th...

A: Given  f(x) = x+1x;  1, 3

Q: The accompanying graph shows the hypothetical cost c= f(x) of manufacturing x items. At approximatel...

A: Given query is to find when will the marginal cost changes from decreasing to increasing.

Q: sin 0 Cos O tan 0 Csc 0 sec O

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Q: Use the given graph of the function f to find the following values for f-!. 1. f'(-4) =| 2. f'(-3) :...

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Q: The general term of a sequence is given. Determine whether the given sequence is arithmetic, geometr...

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Q: Find an angle 0 with 0° < 0 < 360° that has the same: Sine function value as 250° 0 = degrees Cosine...

A: Given query is to find indicated angle.

Q: Consider the points A(1, –1, 2), B(2, –3,0), C(-1, –2,0), and D(2, 1, –1). (a) Find the volume of th...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: I am attaching image so that you understand each and every step.

Q: (1+ cot x) dx Evaluate: sin?x/9- cot?x cotx A - sin - 3 9- corx +C B) None

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Q: Prove by cases that 25x² + 35x is an even integer whenever 5x-7 is an integer. Note here that the va...

A: Apply the condition for 5x-7 to be an integer case by case. 

Q: Evaluate the following limit, if it exists : lim_ (tan 292 – sec 29z) 58 Note: Write the exact answe...

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Q: Let A(x) = | f(t)dt where f is the function given by the graph below. 0. -1 -2 -3- -4+ i. A(2) = ii....

A: Given query is to find the value of A(2) and A'(2).

Q: Find the derivative of the following. Factor and simplify your solution completely. No negative expo...

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Q: Find two unit vectors in 2-space that make an angle of 45° with 5i+ 4j. NOTE: Enter the exact answer...

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Q: Consider the following equations. F(x) = Vx + 5 g(x) = x + 5 %3D Sketch the region bounded by the gr...

A: Graph of the curves÷

Q: Use the intermediate value theorem to determine whether the function f(x) =x + 6x-8 has a root or no...

A: Here, the given function is: f(x)=x3+6x-8 Now, f(1)=1+6-8=-1f(2)=8+12-8=12  

Q: 2. Find the derivatives of the following equations: y = sin-'(1 – t) y = csc-'(x/2) CSC y = In(tan¬1...

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

Q: Determine the series of the functions below. Write out the first four terms of the series a) f(x) = ...

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Q: Solve this problem on separate paper. Show all supporting work and include units on your solutions. ...

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Q: Given that x2- y² = 9, then dy/dx D %3D

A: To find out the dy/dx 

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: dy sin: 8. x +2y = dx y(2) = 1

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Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the are...

A: Let's find. 

Q: 4 xf (x* )dxif f(x)dx = 5. Find Enter the exact answer. f (x* )dx=

A: given:-∫04f(x)dx=5now∫-20xf(x2)dxlet,x2=t2xdx=dtxdx=12dtx=-2,    t=4x=0 ,       t=0  

Q: dt Which of the following is one of the correct steps to evaluate 4e'+e- 4dt A 4e' +e- 4dt (в B 4e'+...

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Q: Question 1 dx: A True B) False

A: The integration of the integral xsec(elnx^2)tan(elnx^2) equal to the integration of the integral is ...