The 7th derivative of ƒ(x) = 3ñx³ – 12x4 + 7x³ − 11x² + √5 with respect to a is

Q: 口 38 Which one of the following equations describes the tangent plane to the curve, f(x, y) =…

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Q: 4. Find the volume generated by revolving the area cut off from the parabola y = 4x - x² by the x…

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Q: 4.z=(y'-2) 3/4-2y ;z= dz dy

A: See the details solution in below

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Q: (1) IF: ā=21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find : a.b, ã.č, č.ã‚ (a+b).(a−b),(ã+ê).(ā-č) (a +2b-3c).…

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Q: Which of the following will make limx→c f(x) and f(c) equal? limx→2 : (x²+x-6) limx→–1 (x³ − 2x + 3)…

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Q: Solve for fazy for f(x, y, z) = 4x³y²z - e²zy¹ + + 4y - x¹6

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Q: (a) State what it means for a function f: R → R to be continuous at a point x = c in R. (b) Consider…

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A: Since we are given the multiple number of questions and answered according to the guidelines.

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Q: Differentiate the following functions. You do not need to simplify, but you must show all your work.…

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Q: Given: ez + xy = 1 Find: əz ?х de dz dz 82 da 8z dz = = -I zez+y -eitz. -*e* ze²+y -ze**-y re**

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Q: Determine the infinite limit. x² x→9 (x - 9)² lim O 8 88

A: Find out the limit of the function.

Q: Solve the equation 6x^(3)-23x^(2)-6x + 8 = 0 given that x = 4 is a solution. precal

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Q: 4. √ (3x² + 4x − 5). 8(r³+2x²–5x+5) dx

A: We have to find solutions

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Q: Evaluate the line integral F. dr where F(x, y, z) = x²y i+ x³ j+e² tan-¹ z k and C is the curve of…

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Q: (9) Find all prime numbers p for which both equations X²-2 0 mod p and have solutions. X²-3 0 mod p

A: Concept: The quadratic congruence: x2≡a(mod p) , where gcd(a,p)=1 Has a solution if (ap)=1 That is a…

Q: Q.1- Evaluate the following integrals (answer two only) a- So √x e-√x dx 1

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Q: Find the solution to the differential equation below such that y(0) = 14 y' = 10xy - 2x y(x) =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: f(x) = 2x³ + 11x² + 12x - 9 For your function you are to: A) Analyze the Function State the domain,…

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Q: Given f(x, y, z) = zey 02 √√3 O 2e² 01-1 √3 O none of the choices 0 0 √3 x sin (3), what is fzz…

A: Differentiate and put the appropriate values.

Q: Give the general equation of the plane containing the point (3,-1,4) and 2-2 -3 4. | perpendicular…

A: given plane pass through the point(3,-1,4)

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: See Explanation

Q: 8. 1 (1+x)√√x / dx

A: We have to find out integral

Q: Use first principles definition of the derivative to find f'(x) for the function 3 f(x)= x-2 =

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Q: (y³ - 3x²y + x³ - 4x) dx + (3xy2 - x³ + 8y³ +y + 5) dy = 0 I. f(x, y) = M(x, y) dx + g(y) II. Find…

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Q: 24 The following limit gives the derivative of a function f(x) at a point zo: lim h→0 √8+h 2 h Which…

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Q: 5. y=(x+2)e+²+1 6. y= 3* -9 Inx-2 7. y= 1 12 (ex + 1)²

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Q: PREGUNTA 12 For the table shown, calculate units per hour: Total Normal Minutes 39.981 Allowance…

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

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Q: Given: x In y + y2 z+z2 = 8 Find: ?х дz -y²-27 In y -In y y²+2z -(x+2y²z) y(y² +22) -yln y x+2y²z о…

A: The objective of the question is evaluate the partial derivative and choose the correct option.

Q: 1. Solve the equation 6³x+1 = 22x-3 Leave your answer in exact form.

A: We have to find out x

Q: Find the volume of the given solid. Under the plane 3x + 2y - z = 0 and above the region enclosed by…

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Q: lim,→-1 22²+2-1 2+1

A: See the answer below

Q: The number of bacteria in a refrigerated food product is given by N(T) = 23T² – 96T + 12, 5 < T < 35…

A: The number of bacteria in a refrigerated food product is given by N(T) = 23T2-96T+12,  5&lt;T&lt;35…

Q: What is the lim, 0+ sin(y) In(y)?

A: limy→ 0+sinylny=limy→ 0+lny1sinyBy L'Hopital's rule,=limy→ 0+1y-cotycscy=limy→…

Q: Use gauss divergence theorem to calculate the the flow through a surface S that is immersed in a…

A: Concept: The formula for the divergence theorem: ∫∫SF→n^ds…

Q: What is the indefinite integral of f (x) = x² + 12? f (x² +12) dx = 3 + 12x + C 1 3x³ S(x² + 12)dx =…

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Q: lim cos x x-0 , which among the following should result, in equivalent form, before L'Hopital's Rule…

A: To evaluate: limx→0 cosxx Let y= limx→0 cosxx ⇒y= limx→0 cosx1x

Q: 1. S w²dw √2w-w²

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Q: 31 Suppose h(x)=¹-42³. Which one of the following is true? Select one alternative: O The first…

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Q: (5) Suppose that fis continuous on [a,b], _f(x) ≥ 0 Vx = [a,b] and ['f(x)dx = 0. E Prove that f(x) =…

A: Concept: In this question, we will prove that f(x)=0 ∀x∈a,b using the contrapositive method. Let us…

Q: Find an explicit solution of the given initial-value problem. (1 + x4) dy + x(1 + 4y2) dx = 0, y(1)…

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Q: (a) State the Intermediate Value Theorem.

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Q: Considering a continuous function f(x) = 2e³-¹ – 2x, which is true about the relative extrema of f?…

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Q: Using the graph of the exponential function below, what is the limx→12 (3x)? 8 0 2 6

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Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

A: Given that, A solid has a base in the form of an ellipse with major axis 10 and minor axis.

Q: Given w = xex + ln(x²yz3) Determine дш дх O дш дх δω дх ди дх дш дх = ex(1 - x) + = xẻ +1+ 11 N|X 2…

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Q: The area bounded by the lines x = 0, x = 2, x + y = 4, and x – y = 4 is revolved about  the line x =…

A: Given problem:- The area bounded by the lines x = 0, x = 2, x + y = 4, and x – y = 4 is revolved…