If= 1π sin(0) = use the unit circle to find

Q: Suppose a is a positive real number. Determine the area of the triangle enclosed by the lines y=0,…

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Q: Use the graph of the function f shown to estimate the following limits and the function value.…

A: We can solve it as follows.

Q: CLASSIFICATION OF DIFFERENTIAL EQUATIONS Classify each of the following differential equations by…

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Q: cide whether the limit exists. If it exists, find its value. lim f(x) and (-1)¯ 6 2 T 09 lim f(x)…

A: We will find the required.

Q: x¹ - 1 x→1 x-1 cos(π + h) +1 h 28. (a) lim h→0 29. Find dy/dx/x-1, given that y = 1-x². 30. Find…

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Q: Integrate cos x dx with limits from 0 to π/2. A. 1/2 B. 3/2 C. 1 D. 2

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Q: 1 en (enx)+ dx (enx)?

A: To evaluate: ∫lnln x+1ln x2dx

Q: EXAMPLE 4 Find the derivative of the function f(x) = x² - 3x + 5 at the number a. SOLUTION From the…

A: Finding the derivative using the definition

Q: (132) 3 WHAT DEGREE?

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Q: Solve using integration of parts:  ∫x2 cos x dx

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Q: Use the graph of y = f(x) to graph the function g(x)=f(x)-2 y = f(x) Q AY -6 -4 -2 -2 + ib N Choose…

A: Concept: A relation between a collection of inputs and outputs is known as a function. A function…

Q: Solve the problem. The cost of manufacturing a particular videotape is c(x) = 10,000+ 12x, where x…

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Q: Use the graph to determine the x-values at which f is discontinuous. For each x-value, determine…

A: We have to find continuity  and discontinuity for the mentioned point. Topic :- Limit and…

Q: Let f(x)= = [mx m = - 11 if x < -10 - - 10 x² + 4x 1 if x 2 If f(x) is a function which is…

A: Since the function is continuous everywhere, the value of f(x) at x&lt;-10 is the same as x&gt;=-10…

Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-0 -3 O-1 2 01 -1 3 2 L +…

A: From the given graph

Q: the roots of the linear equation fcx) = x ³ + x² 100 fall within the period [1,2] Ⓒ True (2) Erorr…

A: Given fx=x3+x2-100

Q: Decompose 2x + 5 2x2 - 11x +5

A: A detailed solution is given below.

Q: 3-7 Use the method of cylindrical shells to find the volume generated by rotating the region bounded…

A: 7) Given:         y=x2 , y=6x-2x2 Equating the curves:     x2=6x-2x2     x2+2x2=6x     3x2=6x…

Q: Is the graph of r(x) = 4x³ - 2x² + 9x - 2 concave up or down at the point with x-coordinate -1?

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Q: Let k(x, y) = = ex cos(x + 2y). For any (x, y) E dom k, evaluate 2k(x, y) + 4ky(x, y) - kry(x, y) +…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Calculate all four second-order partial derivatives of f(x, y) = 2x²y + 7xy³. fax (x, y) = fry (x,…

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Q: Find the limit. lim x →→∞ - 9x² - 8 8x² +3

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 EPIC Does not exist 02 0…

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Q: (-4-x)²+2 if x # -5 Let f(x) = 2x + 12 if x = -5 Calculate the following limits. Enter "DNE" if the…

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Q: which of the following is a function? x2-(y/5)2 =12 9= cos y + 2sin2x cos 2x - y=7 |7-y| = 4y

A: A function is a kind of rule that, for one input, it gives you one output.An example of this would…

Q: 3. f(x) = tan(sin x²)

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Q: 1. The following table gives the estimated stature (length, in cm) of human fetuses at various times…

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Q: [] x(y-3) ] (y-3) dx 4y FIND DE.

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Q: If a ball is thrown into the air with an initial velocity of 42 ft/s, its height in feet after t…

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Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

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Q: Find an equation of the line that passes through the point (-1, -2) and is perpendicular to the line…

A: Let's find equation of line.

Q: 4. Find the value(s) of x when f(x) = 5 ln(x) is normal to 3x + 4y = 3.

A: Normal to curve means the straight line and the tangent to the curve are in perpendicular.

Q: (b) Find an equation of the tangent line to the curve at P(2,-4). (a) The slope of the curve at…

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Q: Solve for x:  log x + 2 log 2 = log 20 - log 10  and show all workings.

A: Solve for x:  log x + 2 log 2 = log 20 - log 10

Q: Evaluate fcos³ (42) sin(4x)da

A: here is the solution:

Q: lim f(x) and f(x) and lim f(x) x-(-1) x-(-1)* 2 " 09 -10 of(x) 2

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Q: plot 1 2√x+y + 1 2√x-y

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Q: A truck starts off 180 miles directly east from the city of Hartville. It travels due south at a…

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Q: Calire, Blanch, and Cam can mow the lawn in 5, 7, and 8 hours respectively. How many hours will it…

A: Need to find out the number of hours it will take to do the work when they work together.

Q: (2xy-3x²) dx + (x ² + 2y) dy = 0

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution…

Q: Prove that lim f(x)=36 if f(x)= x-6 x²x#6 5 x = 6 C For a function f(x) that is defined in an open…

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Q: The table shows the position of a motorcyclist after accelerating from rest. t (seconds) (ii) (1)…

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Q: A bird species in danger of extinction has a population that is decreasing exponentially (A=A₂e). 5…

A: A = A0ekt = population t years from 5 years ago   When t = 0, A = 1660. So, A0 = 1660   A = 1660ekt…

Q: Given: f(p) = Evaluate lim f(p). p-1 Choices: (2p+3; p 1 a. Limit does not exist b. 5 C. 2 d. 6 ;

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Q: (-4-x)² +2 if x ‡ - 5 Let f(x) = 2x+12 if x = -5 Calculate the following limits. Enter "DNE" if the…

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Q: (b) xy' - 4y = x, (c

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Q: (cos X-cosy-cotx) dx - sinxsiny dy=0

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Q: Solve the given differential equation (2x + 4y - 1) dx - (x +2y-3) dy = 0 O 3x − y + 2 ln(x + 2y −…

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Q: Let f(x) = 5 x - 4 Evaluate the limit: lim f(x) x →4 = 40 x² - 16

A: We can find the limit as below.

Q: Evaluate f(3) and f(3.1) and use the results to approximate f '(3). (Round your answer to one…

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