Considered the graph of Function a.

Q: Find and classify the critical points of the function f(x,y)=3y^2 −12x^2 +12xy^2 +16x^3

A: Given function: fx,y=3y2-12x2+12xy2+16x3 Formulas used: ddxxn=nxn-1ddxconstant=0 To classify the cri...

Q: What is the order of the differential equation? d?y dy + 3 + 9y = 0 dx2 dx O 1 2 Оз O 4

A: Given that the differential equation is     d2y/dx2 + 3(dy/dx) + 9y = 0 Here we have to find the ord...

Q: 59. Suppose that functions f and g and their derivatives with respect to x have the following values...

A: Since you have posted multiple questions i can do first question with first three subparts as per ou...

Q: Express the repeating decimal as a fraction. 0.565656...

A: Let A= 0.565656....      equation 1

Q: 1 Eliminabe the arbitrary constants C,e"cos 2x - 3X SIn 2x + - ZX Y C,e

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Q: dy Find for the following function. dx y = 2x cos x sin x dy dx II

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Q: Solve the differential equation (xy² + x – 2y + 3)dx + (x²y – 2x – 2y)dy = 0 -

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Q: Eliminate the arbitrary constant a from the equation (z - a) + y = a O = + 2ry' O = + 2ry Ov =+ 2ryy

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Q: Use the Intermediate Value Theorem to show that f(x) = x^2 − 3x + 1 has at least one real zero betwe...

A: Given:- Use the Intermediate Value Theorem to show that f(x) = x2 − 3x + 1 has at least one real zer...

Q: Consider the function f(x) = 6x 6x + 1, 0 < I< 6. The absolute maximum of f(x) (on the given interva...

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Q: height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - 16t...

A: Given query is to find the the time when the velocity is 130 ft per second.

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

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Q: (1 + +)' y =

A: As per the instruction, we will be answering only first question.  y'=1+1x3'    =31+1x21+1x'    =31+...

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A: Here we have to find out the convergence of The infinite series and then we find out the sum if it c...

Q: Eliminate the arbitrary constant in the equatio y = cz +c +1 Oy= ry'+ (y') +1 O y =y'+(y')² +1 O'y=y...

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Q: II. Analyze and sketch the following curves. Indicate critical points and label your graph. 1. y = 1...

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Q: following

A: We will use rhe graph of the derivative to find the intervals. 

Q: Find the constant a, such that the function is continuous on the entire real line. f(x) = {2x2,     ...

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Q: Consider the function T = xe3x+y? dy 5 and dt where x = Vt + 1, and when t O we have y -2. dT when t...

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Q: x3 dx = (x* +4)2 8.

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Q: Use the difference an+1 - an to show that the given sequence {a, } is strictly increasing or strictl...

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Q: For the given p-series, identify pand determine whether the series converges. k=1 = Therefore the se...

A: p-series Test : The p-series ∑k=1∞ 1kp converges if p&gt;1 and diverges if p≤1.

Q: KLL- čircult C lonsider a

A: In this question we are given the RLC Circuit.

Q: Question 1 If T is a linear transformation such that T(1, 0, 0) = 2, T(0, 1, 0) = 3, and T(0, 0, 1) ...

A: A detailed solution given below.

Q: Let f(x) = /1 – x and g(x) Determine the following composition and its domain.

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Q: 3. y'-5y =xe* –xe"

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: d²y 1. -4 +y=r²-2t +3 dt dy dt

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Q: Evaluate the limit of the function given the graph of the function. Considered the graph of Function...

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Q: Activity 1: Determine the number at which the function is discontinuous. Show why Definition 1 is no...

A: A function f(x) is continuous at x=a if and only if limx→a+ f(x) = limx→a- f(x) = f(a).

Q: (b) f(x) — (х + 2x*)", а %3 —1

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the...

A: Given,f(x) = 3 x2 + 5x a)f'(x) = df(x)dx = 6x +5f'(a=-2) = 6 . (-2) + 5                = -12 +5     ...

Q: Ce* + 1 is 3x = dy/dx – 3y = -3 for any choice of the constant C. Thus, Ce* + 1 is a one-parameter f...

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Q: What is a limit and how can it be found using tables and graphs?

A: It is required to give the definition of a limit and how can it be found using tables and graphs.  

Q: Solve (x² + 4) y' = 2xy %3D

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Q: A force of magnitude 5 N acts on an object. A second force of magnitude 7 N acts at 50° to the other...

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Q: Mark the critical points on the following graph.

A: Given, To plot the critical points in the graph

Q: Simplify sec?g - tan?g + 1. 2 1

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A: The given series is geometric series. In which a=-10/11 and r=-10/11.

Q: Solve the diff eq (xy² + x- 2y +3)dx + (x³y - 2x – 2y)dy = 0

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Q: An airplane is heading due east with an airspeed of 220 km/h, when it encounters a wind from the sou...

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Q: Find the position vector v that corresponds to the vector graphed below. Note that each box in the g...

A: Given the query is find the component form of vector.

Q: x3+ 4x2-9x-36 3. у 3 4x2+28x+48

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Q: Elimination of Arbitrary Constant: bxy +b*x+1=0;b is constant

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Q: Solve the differential equation e-y da (11) = ze" O e +z = C Oe lets) +7 = C O e +z = ( C O e-t-) +=

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Q: Consider the following sequence: 6" {an} n=1 an+1 - to show that the given sequence {an } is strictl...

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Q: hich of the following integral will give the volume of a solid generated when the area bounded by 4,...

A: Topic:- application of integration

Q: Find the exact value of cos 0 if tan 0 = and 0 is in quadrant IV. 7 - 5/74 O- 74 7 74 74 7/6 12 5/6 ...

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Q: An+1 -to determine if the sequence {ne"}, is strictly increasing or strictly decreasing. An Use the ...

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Q: Pls help ASAP. Pls show all work and calcualtions. And pls show each and every step.

A: To find out the derivative of the function.   

Q: Use the formal definition of the limit to prove.  lim (4x − 3) = −7 x→−1

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