Starting at point (1,0), you move along a distance t along a unit circle until you reach a terminal point at P(1213,513)P(1213,513). Find all six trignometric functions of t. Express your answer as a reduced fraction, NO DECIMALS!

Q: The graph of a function is given. Draw the graph of its derivative. 13) + -15 -10 + -5 15- 10+ 5+…

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Q: Consider f(x)=x^4-2x^2+3 Note:Note: Use round parentheses for your intervals (open interval…

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Q: Given: (2x³ — x − 1) ÷ (x − 1) = 2x² + 2x +1 - Therefore: (2x² + 2x + 1) ÷ (X − 1) = 2x³ O True O…

A: The statement is false .

Q: Let r(t) (4t+2, -4e¹, 2e #¹). Find the line (L) tangent to r(t) at t = 3. L: (x, y, z) = = +t

A: Given vector:- r→t=4t+2,-4et,2e-4t

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Q: 8 A communication signal is given by the function sint y== The task is to: a) Derive and equation…

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Q: Solve the following exponential equation. Express the solution set in terms of natural logarithms or…

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Q: Let f(x) 07 O O 11 - S x² + 1 4x – 1 - if x ≤ 1, Determine the value of (ƒ o f)(1). if x > 1.

A: The answer is in step 2.

Q: The sum of four times a number and 1 more than the number is the same as the difference between −27…

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Q: 4. What is the length of the latus rectum of an ellipse with equation x² + 4y² - 2x - 8y + 1 = 0?

A: Topic = Ellipse As per guidelines , At a time only one question can be answered. please repost for…

Q: Evaluate the definite integral by the limit definition. Lxdx

A: evaluate the definite integration by limit definition

Q: Consider the function f(x) 1. f(1) = x+1 y- Determine each of the following. Give your number as a…

A: Given query is to find the equation of the tangent.

Q: given a price-demand function,  p(x) = −7x + 40,  where x is the number of items made and sold and…

A: Given query is to find the revenue function.

Q: Two and one-half foot-pounds of work is required to compress a spring 3 inches from its natural…

A: Integration is used to find the work

Q: the lcm of 21 and 54

A: To find out the LCM of the given numbers.

Q: O Add and simplify. Ei (-8p'+4p5-8p+9)+(-6p² + 8p³ + p²) Check Answer X Ⓒ2022 Mc

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Q: Consider f(x)=x^3−3x^2−9x+4 Note:Note: Use round parentheses for your intervals (open interval…

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Q: Find the linear approximation L(x) of the function f(x)=√4-x at a = 0. L(x) = Use L(x) to…

A: The given function is f(x)=4-x.

Q: In each of Exercises 1-14, D(x) is the price, in dollars per unit, that consumers are willing to pay…

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Q: If f(x)= 5 sin x           1+cos x  Find f'(x) Please answer ASAP and write neatly thank you.

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Q: f(x) Consider the function h(x): x+1' Give the formula for the derivative h'(x).

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Q: Consider f(x)=x/x^2+1  Note:Note: Use round parentheses for your intervals (open interval…

A: soution:-f(x)=xx2+1f'(x)=ddxxx2+1     =x2+1ddxx-xddxx2+1x2+12   =x2+11-x2xx2+12…

Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

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Q: In(a) = 2, ln(b) = 3, and ln(c) = 5, evaluate the following: (a) In () = (b) In √b¹c²a-2 =

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Q: State the domain, vertical asymptote, and end behavior of the function. Enter the domain in interval…

A: We can solve this as follows:

Q: 1. Consider the DE d'y dx2 - 2 dy − 3y = −9x − 3, y(0) : (0) = ² – 1. - dr Verify that y =…

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Q: 118 SATU 101 X. A. f(x) = 3x^3+12x^2+5x+7 B. f(x) = 2x^2+5x+7 [hint: this function will always be…

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Q: Evaluate the integral. √√225-1² dt √√225-1² dt =

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Q: Find an equation of the tangent line to the function y = 2x² at the point P(1, 2). Solution We will…

A: We need to find an equation of the tangent to the function y=2x2 atthe point P1,2.Note: We will…

Q: Find the indefinite integral. (Use C for the constant of integration.) sin³ 50 √ cos 50 dº X

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Q: A rectangular tank with a square base, an open top, and a volume of 27,436 ft³ is to be constructed…

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Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. X X +7 -dx…

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Q: Find a function that satisfies the given conditions and sketch its graph. lim f(x)=0, lim f(x) = ∞o,…

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Q: A simple series circuit has an inductance of 1 Henry, a resistance of 50 ohms, and a voltage of 5…

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Q: Refer to the figure and find the volume V generated by rotating the given region about the specified…

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Q: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain…

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

Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

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Q: A hot air balloon lifts off from ground rising vertically. From 100 feet away, a 5' woman tracks the…

A: Given that a hot air balloon lifts off from ground rising vertically. From 100 feet away, a 5 feet…

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Q: ) An object with a temperature of 75°C was stored in a room with a constant temperature of 20°C.…

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Q: For the images attached Find the limit of the following sequences or determine that the limit…

A: NOTE: Refresh your page if you can't see any equations. . find the limit of the sequence

Q: A woman is on a lake in a rowboat located one mile from the closest point P of a straight shoreline.…

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Q: Use sigma notation to write the Maclaurin series for the COS TTX.

A: Maclaurin series of f(x) about is given by, f(x)=f(0)+(x-0)f'(0)/2!+(x-0)²f"(0)/3!+...

Q: Use the given information to find the indicated probability. P(A) = 0.80.  Find P(A′).

A: To find the indicated probability

Q: 5 Given sine. and 13 5 0 ₁ + (-1/3) ² - O 5 13 12 13 12 5 ◎[-] 1+ 13 13 12 13 cose= 5 °(9)²+(3)³²-…

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Q: (B) Find the differential equations of the families of curves. 5. Straight lines with slope and…

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

Q: A particle moves along the x-axis so that at time t> 0 its velocity is given by v(t) = −20t³ + 60t.…

A: Given data÷ t = time t≥0 Vt=-20t3+60t

Q: Using integration determine the area between the curves defined by y=x^2-2 and y = 2x +1 , how would…

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Q: et f(x)=-11sin x+3 cos x f' (x)=?

A: f(x)=-11sin x+3 cos x this is given  we have to differentiate the function  dsinx/dx = cosx…