here is the function f(x) below discontinuous 4, (x)=x²-5, x + 3, if x < -3 if -3 ≤ x ≤ 1 if x > 1

Q: Find the volume of the solid generated by revolving the region R bounded by y = e Set up the…

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Q: 2. Find dx/dy if y = √√√1+√x -4√√√√1+√T 4√√√1+√I

A: Given: So,      dydx=1+x'        =121+x1+x'        =121+x·12x        =14x1+x

Q: hat is the scalar equation of the xy plane?

A: Given query is to find the scalar equation of the XY plane.

Q: Solve the ODE d²c dt² dc +4 = -2C dt at C(0)= dc dt = 1

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. = e-4/√n lim…

A: Given  an = e-4n.

Q: 2. Find the equation of the curve whose slope at any point *-2 and 3-y passes through (-1, 1).

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Q: omplete the computation. 5, 7, 9) − (7i + 7j) = = |,

A: Given query is to subtract the vectors.

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. x²-4 x +1…

A: (2)   y=x2-4x+1   at     the   point   (0,-4). Quotient  Rule If f(x) and g(x) are differentiable,…

Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = 4. 2 = 4.4 - x³y²…

A: To find the equation of the tangent plane to the surface determined by x4y4+z-35=0at x=3, y=4.

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: V = ∫πy2dx here y = 12-x limit from -4 to 12

Q: A differentiable function f(x, y) has the property that f(4,3) = 6 and fx (4,3) = 6 and fy(4, 3) =…

A: We need to find z.

Q: dy Find when y = a dx (a) (b) (c) (d) 2bx x4 + b² Arctan Arctan(2) 2bx ln a _ Arctan x4 + b² x In a…

A: Given y=aArctanbx2

Q: Find the limit using lim 0-0 lim y →0 sin 12y 5y sin 0 0 = 1.

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Q: Question 9 Find the limit: lim, 7 O(E) O21 9 07 O 3

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given  y=3x5-3x4+7x3-5x2+x-8 We know that d(xn)dx=nxn-1

Q: P(w)=2w^2 -w +4 /√w *Differentiate the function

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Q: y' + 3y = e²x

A: Topic: differential equations we are given equation, y'+3y=e2x Linear differential equation is of…

Q: Q1. Find Domain and Range of у sin(x)

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Q: Find the midpoint of the line segment with the given endpoints (-2,-4)and (-5,-7) The midpoint is 2…

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Q: Evaluate the following integrals a) S √1+x-√1-² dx (Hint: Maybe you need to rationalize the…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: At what points is the function y= X+7 2 x² - - 8x+7 continuous? Describe the set of x-values where…

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Q: 19) Find the average rate of change of the function from x₁ to ₂. f(x)=x²-8 x₁ = -3 to x₂ = 5.

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Q: List the first five terms of the sequence. a₁ a2 a3 2 a4 a5 = || || || || = = = = a₁ = 12, an +1= n

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Q: Below are the graphs of 6 functions A-F. There are also graphs of 5 derivative functions 1-5. Match…

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Q: Let f(x) = 4√ If g(x) is the graph of f(x) shifted up 2 units and left 4 units, write a formula for…

A: find the equation of g(x)

Q: What is the value of k so that d dx -sin(kx²) = 6xcos(kx²) 2

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Q: d²y dx² x = csc² (at) and y = cot(at), Find given the set of parametric equations (a) -tan² (at)…

A: Solution )

Q: What is the derivative of f(x)= xe ?

A: To find the derivative.

Q: ← Graph the following equation in a rectangular coordinate system. x=8 Use the graphing tool to…

A: Given query is to graph the line x = 8.

Q: Find the first partial derivatives of the function w = 5zexyz. 1. 2. 3. дw дх дw ду дw дz 5xzyz .…

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Q: if f(x)=-(sqrt(81-x^2)) find the domain and range answer in interval notation

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Q: a. Find the equation of the line tangent to the function at the given value of x. b. Use a graphing…

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Q: Find the equation of the normal line to the curves at the point of tangency, if given. 1.…

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Q: c) lim 818 sin(x+3)

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Q: f(−3)=3, f'(-3)=3, g(−3)=3, g'(-3)=2, calculate the following: (fg)′(−3)= (f/g)′(−3)=…

A: we have to calculate the following: (fg)′(−3)=(f/g)′(−3)=(g/f)′(−3)=

Q: 4 ✓ y= √4-x² (Equation of a semi-circle) c) 2 Find the (using calculus). in quadrant I (QI) a) setup…

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Q: direction:  find the derviative  (10)  y=in(x^2 +4)-1/2  arctan x/2

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y=3x5-4x3-5x2

Q: To complete thi of proportional Macmillan Learning For purposes c C travels approx 1/2 that of the…

A: Circumference of moons orbit = 2.4   Satellite is half the distance of the moon radius of satellite…

Q: Evaluate the derivative of the following function. f(x) = (5x)4x f'(x) = (Simplify your answer.)

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Q: Find the first partial derivatives of the function u(r, t) = 3 sin(r cost)). 1. u, (r, t) = [ 2.…

A: Topic- Partial derivative We are given, u(r,t)=3sin(rcost) in evaluationg ur(r,t), we will assume r…

Q: Find the Laplace inverse of the following: 2 s 3 s²-8 215248 1) 3) 2 s (s+3)²+6

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Q: Use this table about differentiable functions f and g to answer the following. x f(x) | f'(x) g(x)…

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Q: = Find the equation of the curve for which y" 4x³ - 2x and which passes through the point (1, 2)…

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Q: -9. Sohe DE dy + (²) y = 6x³ tso a b. by² = x² +6 t C. c. t^²y = t³xc d. by ≤ b ² + c 46

A: To solve the following differential equation DE.dydx+2xy=6x3

Q: Directions: Consider the following function f(x). Part 1 - Difference Quotient If h = 0, then the…

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Q: If (2,7) is on the graph of f(x), write the ordered pair that will be on the graph after the…

A: To find ordered pair that will be on graph after the transformation done.

Q: etermining the Maximum and Minimum Values of Quadratic Functions rocket is launched in the air. Its…

A: Given query is to find the maximum height attained by the rock.

Q: Let f(x, y) = (- (x + y))³. Then = 82f дхду ә3f дхдудх 83f дх2ду ||

A: Given, f(x,y)=-x+y5

Q: Determine the equation of the line tangent to the curve y = 4( 4(x+3) y = at the point (5,64).

A: Since you have asked multiple question, we will solve the first question for you as per our guide…