lim (z,y) → (0,0) x³ +48x² + 8y² 6x² + y² Use DNE for does not exist, oo for infinity or -oo for negative infinity. Jump to Answer Evaluate Submit Question

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Q: For the function f(x) = x³ – 7x – 6, write Newton's formula as Xn+1 = Xn solving f(x) = 0. Xn+1 =…

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Q: 3. 3 lim x→∞x4

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Q: Find the first five non-zero terms of power series representation centered at x = 0 for the function…

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Q: 8 If f.° F. '8 +6³ ² f(x) dx = 31 and g(x) dx = 18, find 8 6.² [3f(x) + 5g(x)] dx.

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Q: Use partial fractions to find the indefinite integral. (use C for the constant of integration and…

A: NOTE: Refresh your page if you can't see any equations. . first, we need to take the long division

Q: 75 (B) H (C) (D) 45 (E)

A: Topic:- application of derivatives

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A: According to question,Given Series,∑n=1∞ 4n23

Q: 10. What is the area of the region in the first quadrant bounded by the graph of y = ex/2 and the…

A: Find the area

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Q: (D2 - 3D + 2)y=e5x, Find Y = Yc + Yp O a. 0³C₁² +₂²² +2² 1 2x 5x Cet 12 O b. О с. c₁₂e-² + C₂e-²x₁ O…

A: We have to solve differential equation (D2 - 3D + 2)y = e5x We have to find  Y = Yc + Yp

Q: Find the average value of the function f(x) = 3x¹ on the interval 2 ≤ x ≤ 5. Round your answer to…

A: Given query is to find the average value of the function.

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Q: lim (cos(2x)) ¹/x²_ +0x

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Q: Find the average value fave of f(x)=x^5 between -1 and 1, then find a number c in [-1,1] where…

A: Find the average value fave of f(x)=x^5 between -1 and 1, then find a number c in [-1,1] where…

Q: Determine which of the following is the particular solution for the differential equation (D² -…

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Q: Determine which of the following is the particular solution for the differential equation…

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Q: termine the area of the region bounded by y = ea = X X x² + 2 and y = 0 on the interval [-3,5].

A: Given query is to find the area of the region.

Q: If P 2 3 []-[1 Q = a b = PQ = QP then find the values of a and b.

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Q: Evaluate the integral: (¹ r²₂/r3 ± 3dt

A: Given query is to find the integral.

Q: If f(x) = [ sin(x) = ['(x) 6 3+ t² dt and g(y) = f(x) dx, find g (7). 6

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Q: Evaluate the integral (5) ³ 23 0 15√x sin(x√x) dx

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Q: The graph shows the number of fatal automobile accidents in a certain state for various years.…

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Q: = Find the area of the region enclosed by y x = 3.5 - y². 1 1 2 3 and 3.5x and Use horizontal strips…

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Q: = 4 + 6x + 2y that lies inside the cylinder Find the surface area of the part of the plane z = x² +…

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Q: infinite

A: We have to find the value of the given definite integral according to the given information

Q: (D3 - 2D2 - 5D +6)y=e4x, Find Yp a. 1 24 O b. 1 O c. 1 d. ∙e ∙e e 4x 4x 4x 1 18 O e. none e 4x

A: Given:    D3-2D2-5D+6y=e4x we know particular integral       Yp=1fDQ where Q=e4x…

Q: (D2 - 3D + 2)y = ex, Find Yp O a.-ex Ob.ex OC.-xex O d.xex

A: Given differential equation ( D2 -3D + 2 )y = ex

Q: 2. Find both the maximum and minimum of f(x, y, z) = x - 2y subject to the constraints x-z = 1 and…

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit. […

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. ·S*· g'(x)…

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Q: Express the limit as a definite integral on the given interval. 4 lim [3 - 4(x,*)² + 6(x;*)³] Ax,…

A: Given:- limn→∞∑i=1n3-4xi*2+6xi*3∆x Interval 0,4

Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

A: Given   N (t) = 0.5 + 1.1 e 0.01t The relative rate of change RRC = f’ (t)/f (t). (1.1)(0.01)e0.01t…

Q: In Exercises 7-20, give the equation of the described plane in standard and general forms. 7. Passes…

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Q: Determine the area of the region bounded by f(x)=√x and g(x) = x/2 on the interval [0,16]. Area =

A: The curves are given as , fx=x , gx=x2 Determine the area of the bounded region on 0,16.

Q: Find the distance between the two points shown below. 2 1 -1 -2- -3 -4 -5 Distance = A 2 B + Ta…

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Q: (15) Determine whether each integral is convergent or divergent. Evaluate those that are convergent.…

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Q: 2 24 1 A = (3) · B-15). C- ]-D-[2 B: = с = 1 3 20 Evaluate the following operations, A+B CB DE C-1…

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Q: Determine which of the following is the particular solution for the differential equation…

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Q: 3. (y² - xy)dx + x²dy = 0

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Q: 26 D 23 29 25 E 15 A Find the shortest path from vertex A to vertex B. Give your answer as a…

A: We want to find out the shortest path from vertex A to vertex B

Q: Find the total work done if the motion is caused by the force field F(x, y, z) = (x+yz)i + (y+xz)j +…

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Q: 3. Use implicit differentiation to find dy daif x³y² - y² = 5x + 4 tan y

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Q: Find the mass M of an object in the shape of a right circular cylinder of height 2 and radius 6 if…

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Q: Use the Alternating series Test, if applicable to determine the convergence or divergence of the…

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Q: A bacterial population is 2,000 at time t = 0, and its rate of growth is 1,000 8t bacteria per hour…

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Q: 62. 63. -3m -म y Af 3m 5m X

A: We know y=AsinBx-C+D⇒A=Amplitude ⇒C=Phase shift ⇒D=Vertical shift ⇒Time period T=2πB

Q: Use a power series to represent the function f(x) = Sorry, that's incorrect. Try again? ∞ ΣΙ n=0 1…

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Q: (D3 - 2D2 - 5D + 6)y = e3x, Find Yp a. 1 O b. О с. 10 I 3x e 1 10 ∙e 3x xe 10 3x

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Q: Determine the solution of the following differential equations: (D³ - 3D² + 4) y = 40cos2x + 6

A: Let's solve given differential equation.