Consider the function f(x) = 12x° + 30x4 – 300x³ +3. f(x) has inflection points at (reading from left to right) x = D, E, and F where D is and E is and F is

Q: For the function y=JHx +1 + Find: a) The equation of the tang ent liné at X = 2 b) The equation of…

A: Given,            y=4x+1+2xTo find : a The equation of the tangent line at x=2.                b The…

Q: mZA = 70°, c= 26, a = 25 %3D %3D

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Q: Solve the initial value problems: y^ prime =6+5y+y^ 2 ; y(0) = 0

A: We need to solve D.E.

Q: Ben is a fisherman with a boat in Rhyl harbour. This is part of a graph of the depth of water at the…

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Q: Consider the points below. P(3, 0, 3), Q(-2, 1, 4), R(7, 2, 5) (a) Find a nonzero vector orthogonal…

A: calculation of above requirement are as follows

Q: Find the inverse Laplace transform: 1 L-1 Is(s? + 1))

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Q: A ball is thrown into the air and its position is given by h(t) = - t² + 85t + 2 where h is the…

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Q: 3x+2 dy for y = In, dx 2. Find Fully simplify your answer 3x-2

A: Solving the problem by finding the derivative.

Q: Let L be the line r(t)=(1+1,1-2r,3+5t) and II be the plane 2x-y+3z-48=0. a Find the point of…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: First we will draw graph for function.

Q: 6x° – 15x* + 20x – 1 and classify them using a Find the critical numbers of the function f(x) =…

A: Given the function

Q: Evaluate the line integral | -ydx + xdy along the curve C:y? 30x from (30, 30) to (0,0). NOTE: Enter…

A: We need to find integral.

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

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Q: Show that lim (2,v)>(0,0) **+y D0.

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Q: Next There is a line through the origin that divides the region bounded by the parabola y = 4x –…

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Q: 6) Determine constants a and b such that f(x) is continuous for all values of x. ax + 3, if x> 5 8,…

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Q: Solve the following differential equations of dy 1 y= xy': + dx

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Q: L xe* xe2x dx хе

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Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. | 6y3…

A: given circle x2+y2=4

Q: Use linear approximation, i.e. the tangent line, to approximate V1.3 as follows: Let f(r) = VT. The…

A: f(x)=x3f(x)=x13differentiating w.r.t xf'(x)=13x-23value of m at x=1f'(1)=131-23=13f'(1)=13m=13at…

Q: Find the indefinite integral using the substitution x = 5 tan(0). (Use C for the constant of…

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Q: ) Find p(3). ) Find p(13). =) Find p(13)-p(3). p(13)-p(3) 1) Find and interpret this result. 13-3 -)…

A: Given query is to find the value of the function at indicated points.

Q: Q1/ Find the volume of the solid generated by revolving the region bounded by y = Vcos x, y 0 & Osxs…

A: Disk method: The disk method is used to find the volume of a solid when the axis of revolution is…

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: We can solve as follows

Q: |A:k||2||Br:||2) < ||A||F||B||F k=1

A: answer is in next step

Q: uilding that is 225 feet tall casts a shadow of various lengths as the day goes by. An angle of…

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Q: Sx³cos3x?dx

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Q: The graph of f(x) is shown (see figure). f(x) %3D Vx2 +7 Net draw o scale (a) Find the following…

A: Solution: f(x)=9xx2+7

Q: Solve the system of equations using matrices (row operations). 3z- 3w = - 4 X+ y+ z+ 3w= -1 2x + y-…

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Q: dy Then find the slope of the curve at the given point dx Differentiate implicitly to find…

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Q: Sketch the region enclosed by Y 6x and y = 9x". Find the area of the region.

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Q: Find the average value of y = sin x between x = 0 to x = π.

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Q: f(x) = 2 – 5x², - 5< x < 1.

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Q: 4. For the given function find the local extrema using the Second Derivative Test. f(x) = x³ – 9x2 +…

A: maxima minima

Q: Solve for the gradient of the given function. f(x, y) = e¤ sin y + el cos x

A: Given,  f(x,y)=ex sin y+ey cos x

Q: The function f(x) = 2x – 27x2 + 48x +1 has one local minimum and one local maximum. Use a graph of…

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Q: Let fa)=S(-5-x2 + 23x +19 f Xチー6 if X= -6 calculate the following limits. ENter DNE if the liniit…

A: l

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: I really need your help, just want a guide or like a script type how to explain this on class each…

A: Here, you have to find the area bounded by the loop of the given curve. The given curve is: y2=x5-x2

Q: Find V · (V × F), if F(x, y, z) = 2e"*i+4xe"j – 4c*k. V · (V × F) =

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Q: 4. Evaluate lim (cos r)/**.

A: We know that limx→0f(x)g(x) is of the form 1∞ then limx→0f(x)g(x)=limx→0eg(x)f(x)-1

Q: Without solving for the undetermined coefficients, find the correct form of a particular solution…

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Q: Let 7(t) = Find )dt (don't include the +C)

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Q: Graph the function Ax) = 4x-1, if x <-1 Determine if the function is continuous x-3, if x2-1…

A: The given function is  f(x) = 4x-1x-3if x&lt;-1ifx≥-1 A function is said to be continuous at a point…

Q: Determine the limit of the sequence or state that the sequence diverges. n an = Vn3 + 2 (Use…

A: Given: an=nn3+2 To find:  limn→∞ an limn→∞an=limn→∞nn3+2 Given limit is of ∞∞ form

Q: Write the augmented matrix for the system of linear equations. 6x +y+6z = 8 3x- 7y-z = 6 x- 4y - 5z…

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Q: Evaluate the double integral over the rectangular region R.R. ∬R7xy3dA;∬R7xy3d⁢A⁢; R={(x,y):…

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Q: Sketch the graph of the function f(x) = x³ – 2x² – 5x + 6 using calculus – based analysis. -

A: Given problem:- Sketch the graph of the function f(x) = x3 – 2x2 − 5x + - 6 using calculus - based…

Q: you save 270 PER QUARTER for retirement in an account that earns 8% interest per year compounded…

A: Given query is to find the amount accumulated.

Q: —2х Se-2x sin 3x dx

A: