the graph of the piece-wise defined function below, f(x), find the following -3 -2 ain: ge: 6 4 3 27 -2 -3 -4 -5 1 2 3 4 5 6 rval(s) of Increase: (enter DNE if the function does not increase): erval(s) of Decrease: (enter DNE if the function does not decrease):

Q: The Cartesian coordinates of a point are given. (a) (6, -6) (i) Find polar coordinates (r, e) of the…

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Q: EXAMPLE 5 Evaluate 9x² 8x + 8 x(x² + 4) SOLUTION Since x³ + 4x = x(x² + 4) can't be factored…

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Q: If h(2) = 5 and h'(2) = -2, find d (h(x) dx X x = 2

A: given  h(2)=5  and  h'(2)=-2find   d dx(h(x)x)  at x=2we know   d dx(ab)=bdadx-adbdxb2

Q: 23. lim 848 5√√x+3 1 - 17x²

A: Solve limit

Q: $5,000 is invested for 5 years at 8% compounded quarterly, how much interest (in $) will be earned?…

A: Given query is to find the interest earned.

Q: Given the graph below, solve the following inequality: k(v) ≥ 0 Họ tan 9 8 7 6 5 -10-9-8-7-6-5-4-3 4…

A: To solve the given inequality

Q: Consider the following functions. f(x) = x², g(x)=√x-7 Find (fog)(x).

A: Given,            fx=x2 , gx=x-7

Q: 10) Does the sequence an = √n² + 3n - n converge or diverge? Explain

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Q: 2. Find an equation for the tangent line to the cycloid z = =e+3, y = 1²e-3e + 2 at the point where…

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Q: The graph of the function f(x)=25-x² is given below. Which of the following definite integrals…

A: we use integration method to find area given  f(x)=25-x2formula for area is A=∫abf(x)dx

Q: Find the length and width of a rectangle that has an area of 392 square feet and whose perimeter is…

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Q: Solve the equation dy 2y² S 3ry

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here…

Q: 7. Let f be a function defined for all real numbers x and for all real such that f'(x) < 0 and f"(x)…

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Q: Solve the equation dy 2y² – x² 3ry

A: GIVEN equation in this question dydx=(2y2-x2)(3xy)   SOLUTION- as we can see dydxis a homogeneous…

Q: Differentiate the function. g'(x) = g(x) = In(xe−8x)

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Q: 12. Find f x √(1-x²)³ dx

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Q: A sailboat is sailing on a lake with a constant speed of 10 miles per hour. At noon, the sailboat is…

A: given  (1) speed of the sailboat = 10 miles/hr. (2) If at noon, t = 0, Then, at t = 0, the…

Q: dh ars of growth and shaping. The growth rate during those 4 years is approximated by d gs are 14…

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Q: Question 1 ( (a) ) ) For the function (b) ( transform 3 f(t) use the definition of the Laplace…

A: Given function is (a) f(t)=30≤t&lt;2e2tt≥2and (b) L-13(s+5)(s-2)

Q: * Your answer is incorrect. Consider each function to be in the form y = k xP, and identify k or p…

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Q: can you please explain in words how the equation 3y^2 + 2xy + x^2 = 6 turned into 6y+2y+2x+2x=0??

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Q: -X d) xy' + (1 + x)y = e¯* sin(2x)

A:

Q: Find the limit (if it exists). lim f(x), where f(x)= x+1- [x³ +2₁ x < 1 x+2, x ≥ 1

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Q: Consider the given function and the given interval. 14x f(x) = (1+x²) 2¹ [0, 2] (a) Find the average…

A: According to question,Given Function,fx = 14x1+x22

Q: Determine the average value of f(x) over the interval from x = a to x=b, where f(x) = - 1 X The…

A: formula for average value is  favga=1b-a∫abf(x)dx∫1xdx=lnx

Q: Question Which of the following is the Laplace transformation O L {f(t)} if f(t) = (cos(-3t))² ? s²…

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Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: Differentiate the function. g'(t) = g(t) = ln(8 + tº)

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Q: Determine the general solution of the DE y (4) + 3y – 4y = Ⓒy=c₁e*cosx+c₂e y=ce*cosx+c,e=*sinx -X -X…

A: given   y(4)+3y''-4yput  d=d dx(d4+3d2-4)y=0for auxilary reuation put d=m and y=1

Q: Question The Laplace transform of the function f(t)= e 2t+2t4 is Select one: O True O False L {f(t)}…

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Q: Find the volume of the solid generated by revolving the region bounded by the curves y = y=0, x= 0…

A: To find:- Volume of solid genrated by curves y=43x+3,x=0,y=0,x=3 about x axis

Q: A ladder 15 feet long is leaning against the wall of a house (see the figure below). The base of the…

A:

Q: Solve the initial value problem dy € + ² = 5x√ỹ, _y(1) = 2.

A: standard form is dydx+p(x)y=q(x)given  dydx+yx=5xydivide by y  both sides 1ydydx+1x×yy=5xwe know…

Q: Given the non-homogeneous differential equation y "- 4y + 4y=e²x What is its auxiliary equation? 0…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Explain and demonstrate how to find the eigenvalues of the matrix 0 2 2 3]. -3

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Q: Given f(x) = 19x - 3| +2 25. f'(²-) = If f(x)=(√3x-2)5 then f'(9) = Given f(x) = sin(3x)² 26. f'() =

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Q: Find the derivative of the function. y' = y 1 - x² - x cos-¹(x)

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Q: Given the non-homogeneous differential equation y "+ 3y + 2y = 4e* The roots of its auxiliary…

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Q: Find the area between the graph of y = 5 - 5x^(2/3) and x-axis and −1≤ x ≤ 8 using properties of…

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Q: Find the particular solution of the D.E. y "+ 3y + 2y = 4e° = 4e* ON =e* 2 Oy₁ = / = Ae* + B

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Q: Given the absolute function graphed below, find the following: -3 -12 a) Domain: b) Range: 6…

A: Answering the first three subparts of the question,

Q: 1. Divide the interval [a,b] into n = 4 subintervals of equal length and compute A) the sum of the…

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Q: Use left endpoints and 10 rectangles to find the approximation of the area of the reg Round your…

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Q: Let f(x)=2 ta(a), Find f'(z). f'(z) -

A: Given query is to find derivative.

Q: The Laplace Transform of is Select one: O None of these. O F(s) = O F(s): O = F(s) = f(t) =…

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Q: (4) Compute the following: I7 (a d da na" = I7a6 Jn:2x-1 haban toy (b) d dx P [etan z] tanx ₁₁)] (x²…

A: according to bartleby guide line we do only first part ofmultilly 4(a)      d dx(lnx7(x2-x+3)11we…

Q: 13. The function has the 1st derivative given by f'(x) = -x(x+3)(x - 1)²(x+4)³. What are the x…

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Q: Solve for 8: cos²0 (1 + 2cose) = 0 on the interval 0 sesn. = 06-1플 100-10. ㅠ 3 품 품 3 3 00-27, 0.ㅠ…

A: To solve the trigonometric equation cos2θ1+2cosθ=0 ; 0≤θ≤π.   As the general solution of the…

Q: 14) y = Tan¹ (3); dy =?

A: 14) y = tan-1( x2 ) dydx = ?