FB 1.1 Make two properly labeled sketches, the graph of a) a function and b) a relation that is not a func- tion. Describe in words why your sketch in b) fails to be a function.

Q: Find the domain and range of the function graphed below. Domain: 3 -5 -4 -3 2-1 Range: 2 1 123 -2 -3…

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Q: 2 X² +4X-9 = 0 Solution Set {} 3

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Q: Find the differential equations of the following family of curves.

A: The cardioid equation in polar form is given by   r=a(1+cosθ)

Q: 2 X +3X-4020 choose one Solution interval or D

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Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

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Q: Find Euler Approximation of the solution y(t) of the IVP y'=2y+3, y(0)=2, within interval [0,3],…

A: Euler's Method yn+1=yn+h.ftn, yn where tn+1=tn+h Given dt=h=1, y(0)=2 or t0=0, y0=2, y'=2y+3 or…

Q: Say that L1 is the line through the points (1, 2, 6) and (2, 4, 8). Say that L2 is the line of…

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Q: Suppose that f(x) is a continuous function over all real numbers, f'(-16)=0, and f''(-16)=27 Which…

A: Given fx is a continuous function, f'-16=0 and f"-16=27

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

A: We have to find the values using Law of sines.

Q: Consider the function f(t) = −t² + 3t. Find the average rate of change of f over the interval [4,4 +…

A: We can find the answer in the below steps.

Q: 1. Fill in the derivative rules learned in class on: d dx [c] = d dx -[e] = = d dx d dx [x²] = =…

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Q: 1.) (3tz - z²)dt + t(t − z)dz = 0 -

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Q: (a) Let f(x) = (x + 5)4, z 20. Find a formula for f-¹(x) Answer: (b) For what values of x is f¹…

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Q: Find the general solution (x² +1) 4x + 3xy = 67

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Q: 1. Evaluate the following integrals ·16 /1+√√x √T dx x+√√xn-m a) 16 b) f dx where m and n are…

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Q: Find the polar form for zw, z/w and 1/2 where: z = 2(1 + i), w = 3(1+√3i)

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Q: Verify if the primitive y = c₁sin (x) + C₂X defines the corresponding differential equation dy X +y…

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Q: 2 Find and simplify the expression if f(x)=x²-3. f(4 + h) − f(4) f(4+h)-f(4)=

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Q: 1. Find and sketch the domains of the functions f(x,y) 1 In(4- x² - y²) 1 and g(x, y) 1 √x + y² = 4

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Q: Use the indicated substitution to evaluate the integral. 17/2 rdz 289 17/2 1. x = 17 sin t x²dx √289…

A: To evaluate the given integral.

Q: Find the slope of the tangent line to r = cos(20) at 0 = 4.

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Q: us at the +x 5 ble at the The functions in Exercises 21-26 are defined for all x except for one…

A: According to bartleby guidelines,  we are supposed to do only one question  with 3 subparts.  If you…

Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5…

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Q: Practice -3₁ (2-5₁) = (answer in a + bi form

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Q: Use the formula below to find the slope of the tangent line to the curve at the given x-value. √x at…

A: Slope of the Tangent line (m)=1/4

Q: A woman drops a front door key to her husband from their apartment window several stories above the…

A: The function h=-16t2+64 gives the height h of the key in feet, t seconds after she releases the key.…

Q: Find the domain of the following function. Give your answer in interval notation. Provide your…

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Q: 8) Draw four squares adjacent to each other. The first square has a side length of 2 units, the…

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Q: 6. Find lim1F(t), where r(t) = 1² In (2t - 1) 1' 2022-t (1=1) 1/1₁ eve).

A: Answer and explanation is given below...

Q: 15. x(x + y)y' + y(3x + y) = 0

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Q: (1) (A × B) U (B × C) (2) AX (BUC) C = {9,10}, B = {7,8} , A = {4,5}

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Q: Find the limit. lim (e-20 t-0 i + t² sin²(t) -j + sin(4t) k)

A: limt→0 (e-2ti+t2sin2t+sin(4t)k)

Q: expand sin x/cos^2 x

A: expand sin x/cos^2 x

Q: Write the equation of the asymptote(s) for the function graphed below. Enter "DNE" in the answer…

A: need to find out the vertical and horizontal asymptotes from the graph given.

Q: r(t) = (cos πt, 2t, sin 2πt), from (1, 0, 0) to (1, 4, 0)

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Q: Use the graph of f(x) shown below to determine each of the following limits. Provide your answer…

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Q: Find the equation to the tangent line y=8 sin x at point (π/6, 4) using form mx+b m= b= Both of them…

A: Topic =Derivative

Q: Let f(x)=1.2^1.8x Estimate the derivative f′(2.1) to within two decimal places by using a small…

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Q: Determine the following limit. [A] 0 [B] −1 [C] -∞ x² - 4x + 3 2 lim x-2- (x - 2)² [D] ∞ [E] 1

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Q: Which one of the following patterns characterizes a nested multiplication? Add-add-add-add...…

A: We have to find out character of nested multiplication

Q: If f(x) = 4x² − 4x + 2, find f'( − 3). Use this to find the equation of the tangent line to the…

A: We have to find out the tangent line

Q: Find f'(x) by using the definition of the derivative. [Hint: Use (x + h)5 = x5 + 5x¹h + 10x³h² +…

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Q: Identify the open intervals on which the graph below is increasing and decreasing. -5 -4 -3 -2 -1…

A: Graph is increasing on a interval if the y values continuously increase as the x values increase in…

Q: Verify that the following DEs are nonexact, then find (4). 4. vx+2v+2 dx + 2xv+5 dy=0; v1=-1…

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Q: t of x +2x^3/2, Find f'(16).

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Q: Find the critical points, please show the work. f(x)=sin2x+3 on [-pi,pi]

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Q: Consider the function f(x)=x²+x and the point (1, 2). (a) Find the slope of the tangent to the graph…

A: Slope of a function y=f(x) at a point (a,b) is given by y'=f'(x)x=a=f'(a)ANd equation of tangent at…

Q: You are given a differential equation:  2(d2y/dx2) + 5(dy/dx) - 3y = 2x  and also given the…

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Q: Consider the function h(x), for wh h(4) = 5 and h'(4) = 1. Find f'(4) for the function f(x): f'(4) =…

A: given that, h(4)=5 and h'(4)=1 f(x)=h(x)x find f'(4) formula (uv)'=vu'-uv'v2

Q: Use Euler's method to find approximations to the solu- tion of the initial value problem dx = 1 + t…

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