1. A parabola with directrix y = -1 and one endpoint of the latus rectum at (-1,3)

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Q: Evaluate the definite integral: 4 dz

A: Evaluating the definite integral

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Q: (-1)" 6. (0.999)" n=0 M:

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Q: tanh 2x ln (cosh 2x)dx

A: Evaluate the integral ∫tanh2xlncosh2xdx

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Q: Answer C/DC a. lim f(x) X-2 b. lim f(x) c. lim f(x) -3 -2 -1 -1 X--2 d. lim f(x) x-5 -2 -3 e. lim f(...

A: follow next step

Q: Evaluate the following indefinite integral | 8 sin(x) – 2 cos(x) dx =

A: We have to find integral

Q: Evaluate the indefinite integral 5e" dæ S 5e² dx +C

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Q: Evaluate the following indefinite integral. dt = +C

A: topic - indefinite integral

Q: 2- y = prove that (sin x) = cos x %3D dx

A: Topic:- derivatives

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Q: Use the figure to find the exact value of the trigonometric function. Find cos 20. 3.

A: We can find the value of cos2 theta as below from the figure

Q: The derivative of the function y = (x² – 1)2 (x² + 2)³ is LA. 2x (x² +2)°(x² – 7) 2x (x² + 2) (x² + ...

A: As we know that; The Power rule: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f...

Q: Consider the function f(x) = Complete the table below and sketch its graph. x 2 |-1 |-0.5 -0.1 F(x) ...

A: Given Data: fx=x+1x2+x

Q: Evaluate the integral 3sin^2(t)cos^4(t)dt, from 0 to pi.

A: Given problem:- Evaluate the integral 3sin2(t)cos4(t)dt, from 0 to pi.

Q: Example 4 Video Example ) x2 + x - 3 Let y = Use the Quotient Rule to find y'. x3 + 8 Solution (43 y...

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Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x)=√8x+9 at...

A: Here we have to find the instantaneous rate of change of f(x) = √8x+9 at x=1.

Q: f(r) = 4² and g(x) = 3². What is f'(2) = What is g'(2) = Which has a higher rate of change at r = 2?...

A: Given that: f(x)=4x and g(x)=3x

Q: Evaluate f dx letting u = x – 1. The given integral can be transformed to S h(u)du. What is the valu...

A: evaluate ∫xx-1dx letting u=x-1.The given integral can be transformed to ∫h(u) du what is the value o...

Q: Save your solution for this problem to answer the other problem connected to this. Consider the curv...

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Q: If f(x) = e*g(x), where g(0) = 1 and g'(0) = 4, find f '(0). %3D %3D

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Q: 3 Į>(4»*+ 12y²+ 9) *dy A (2y²+3) 2 3 B(2y²+3) © (2y²+3) D 4y4+ 12y²+9 None

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Q: Find the area in the first quadrant bounded by the coordinate axes Va + Vỹ = 1 and the parabolic arc

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Q: Let F(x) = f(r°) and G(r) = (f(x))° . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(aº) = 5 Th...

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: Fx=fx9 ; Gx=fx9a8=12...

Q: (2) A buko pie store can produce buko pie at Php95.00. It is estimated that if the selling price of ...

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Q: Find the limit: 1+y² In lim (x,y)→(1,0) l22+xy/

A: Topic:- limits 

Q: 4- Prove that lim- tan 2x 5-lim 2(-3+x)²-18) x-0 X-0 2.

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Q: E F Which blue function is the graph of the SLOPES of the red function? F

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Q: (x) dæ + f(x) dæ - f(x) dx 2. can be written as a single integral in the form | f(x) dæ Determine a ...

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Q: Determine the value/s of D if the graph of the equation 4x? + y2 – 4x + Dy = -2 is 1. an ellipse; 2....

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Q: Save your solution for this problem to answer the other problem connected to this. Consider the curv...

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Q: SF S"(x² cos y – sin x) dxdy 2

A: Given that: ∫0π2∫0π(x2cosy-sinx)dxdy

Q: For the curve whose equation is given by z -3xy +y-4x+2y+1-0, deline the equalion of the tangent lin...

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Q: Find the formula for the figure below:

A: Given that: Graph of a function.

Q: (a) If f(x) = x* + 3x, find f'(x). f'(x) = (b) Check to see that your answer to part (a) is reasonab...

A: Given: f(x)= x^4+3x f'(x) means  we have to find derivative  So, the derivative of f(x)  f'(x)= 4x^3...

Q: 4) Show that the circumference of the unit circle is equal to 1 dx (an improper integral) 2 1 – x² E...

A: We need to verify the circumference of circle.

Q: lim 극 et – 1 x-1

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Q: Determine an equation for the line tangent to the function at x-e. O Al y--) TT O B) y--) 1 (x -e) D...

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Q: Consider the differential equation у" - у'- 30у 3D 0. Verify that the functions e-5x and e6x form a ...

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Q: Determine which one of the following defines y implicitly rather than explicitly. A) y = 3sinx B) y ...

A: To write the function which defines y implicitly. 

Q: baseball team plays in a stadium that holds 56,000 spectators. With the ticket price at $10, the ave...

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Q: find the maximum or minimum value of the function  g(x)= 100x^2-1100x

A: The second derivative test  Let f(x)  be the given function and c be the critical point of f. If f"...

Q: Directions: Use the reference angle and appropriate sign to find the exact value of each expression....

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the quest...

Q: sin z Differentiate y =

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Q: eros voR-SI ioNO WDW WCLN PCMath 12 - Rev. 2019 3. Find the general solutions rounded to two decimal...

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