4) Find the intervals where the following function is concave down: ππι y = 2sin² (2x) - 4x, x € -

Q: ate the following integral using polar coordinates 17 'yx² (x² + y²j2dxdy

A: Above question is solved.

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Topic = Derivative

Q: Find the open intervals where the function graphed below is (a) increasing, or (b) decreasing. Ay…

A: Consider the graph

Q: x²-3x - 10 f(x) = x+6 [-2,5] Yes, Rolle's Theorem can be applied. No, because f is not continuous on…

A:

Q: QuIf w=f(u, aw Prove that əx v) = cos uv, u = xyz ,v= 4(x²+y²) = 0 at the this point (x,y,z)=(1,1,1)

A: w=fu,v=cosuv, u=xyz, v=54x2+y2

Q: Compute each of the following limits. (b) Let f(x) = 4x + 5. Find lim f(a+h)-f(a) h→0 h

A: 4 is the answer.

Q: e will examine two procedures in the use of partial integration (See image) a) Procedure 1: Derive…

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Q: Find the average rate of change of g(x) = 5x³ + 4 from x = - 4 to x = 4.

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Q: 6x² - 2x - 1 4x³ X jo dx

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Q: Sketch the function and Ensure you are finding everything you can about the function (ie.…

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Q: R: y² = 4x, x² = 4y axis of revolution: x = 4

A:

Q: y = x4 - 8x² + 8

A: Here we have to sketch the function y=x4-8x2+8 ............................................ (1)…

Q: 7- cos y dx + (x siny-cosy)dy = 0 8- (1+ y²)dx + (2xy + y² + 1)dy=0

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Q: Evaluate exactly lim(1 + sinx)2cot: x→0

A:

Q: Find the limit, if it exists. (If an answer does not exist, 3 - xy ху lim (x, y) → (2, 1) x² +2 +9y²

A: We will apply the limits.

Q: Q3/Evaluate: ff(x + y) dy dx for the region bounded by the x = 0, x = 2, y=x and y=x+2

A: Given

Q: Annual sales of bottled water in the U.S. in the period 2000-2010 can be approximated by the…

A:

Q: 22:- Solve the following Equations by Gauss - Jordan method 2X+4Y-6Z=-4 X+ 5Y+3Z=10 X+3Y+2Z = 5

A: Here we have to solve the equation by using the Gauss-Jordan method.  2X+4Y-6Z=-4X+5Y+3Z=10X+3Y+2Z=5…

Q: Which of the following gives the volume of the solid obtained by rotating the region bounded by y =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: olve the integrals the cauchy Rimann integral formula 2 sin ( TT 2) + cos (TTZ) ² 23-22-52 +6 dz

A:

Q: f(x) = х-2 ²-3x-4

A:

Q: Q3/ Evaluate: ff(x+y) dy dx for the region bounded by the x = 0, x = 2, y = x and y = x + 2

A:

Q: Question 4. Continuity Exercise 2.5, Problem 26 a. Show that f has a removable discontinuity at x =…

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Q: 3) Find equations for the lines: a. The line through the point P(3,-4,-1) parallel to the vector…

A: We can answer first question as per the honor policy. Please resubmit other question as well to know…

Q: Find the derivative of the following function. 3 8x y = In x y'=0

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Q: The statement (A + B) - (C' n B) = (A + C) is an identity. (Hint: draw a Venn diagram of the LHS and…

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Q: Solve the given differential equations: dy x-3 1. dx 2+y²

A: Differential equations

Q: Q5/ Determine the total differential If Z = f(x,y) = x²y², x=2rcose, y = 2rsine

A: Here, the total derivative rule used is: z=f(x,y)=x2y2 & x=2rcos θ , y=2rsin θ

Q: -32 1 ย X

A:

Q: The result of A(B x C)+ A × (B.C) may be: 10 2i+3j O 2i+2j-k

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Q: 7,000e0.1x dx   Find a substitution to rewrite the integrand as 70,000eu du. u=     du =        dx…

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Q: If G is an antiderivative of the function g, so the following integral is equal to what option? 1-26…

A: Given problem:-

Q: Find lim h-0 f(8+h)-f(8) h if f(x)=x² +9.

A:

Q: 4) Find equations for the planes: b. The plane through (1,-1,3) parallel to the plane 3x+y+z=7 A-3+1

A:

Q: Evaluate the integral dx fax √2x-x1

A: Given: I=∫dx2x-x2   As we know the common integral; ∫11-x2dx=sin-1x+C

Q: Question 4 A student club is selling t-shirts for Thon every weekend. They found that when selling…

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Q: 2. Compute [²√x by first changing it to polar coordinates. 1 -√3x (x² + y²) ² dy dx

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Q: d. The plane through P,(2,4,5) perpendicular to the line x=5+t y=1+3t , z=4t

A:

Q: Consider the following statements: I. 27x+3, 27x11, and 27x + 17 are antiderivatives of 27. II. In…

A: Given : 1. 27x+3, 27x-11 and 27x+17 are antiderivatives of 272. In general, 27x+C is an…

Q: In the Figure 1, if Q= 40 N, P = 50 N, and B = 145°, then R is equal to (in N): Figure 1: C R A Q B…

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Q: Q4/ 1- Evaluate: f/2fy sinx dy dx ди 2- If u = x² + ey² ,x= sin 2t , y = cost² find at

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Q: Do not use calculators. Approximated decimals are not accepted. k=3 Let j=8 Evaluate and Simplify…

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Q: ³√x²e²²\ Which of the following is the most appropriate technique to use in evaluating O Integration…

A: The given integral is x2e-x.

Q: 6- xdy+(2y-x²-1)dx=0

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Let f and g continuous functions in R that satisfy at the same time all the following equalities :…

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Q: dx √(1-x²) 7. The value of f A. CONNE Oc O J. N is B. sin '(x) + c 4 C.rosx + le D. cosx A 8. Jcos'…

A: I am attaching image so that you understand each and every step.

Q: 1 Find the domain for each function, stating your answer in interval notation. (a) f(x) = 4x - 3…

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Q: Determine if +∞o 5 dx √x-1 is convergent or divergent.

A: Solve the improper integral then using expansion at infinity solve limit

Q: Evaluate the following integrals using FTC. Show solution

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Q: 2. Show that the function. 5x²³²Bin 12 F(x)= โ x2 0 (x=0) is not of bounded variation on [1,1].…

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