3.) КОЈ о dxdy

Q: f(x)=x2-3,P(4,13) a.find mtan b. Determine an equation of the tangent line at P. c. Plot the graph…

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Q: Determine the area of the region bounded by the curves y = ₁, y = 2x and x = 4

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: a) 4x²y - 3xy³ + 6x; d) e²x+3y; b) xy; e) x+y x-y c) xy²; f) 3x²y-7x√y.

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Q: Consider the following: a. Write an equation of a plane in Cartesian form that contains the point…

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Q: 4. Given f'(1) = 4, g'(1) =— 2, ƒ(1) = 1, g(1) = 1, find h'(1) if h(x) = xg(x)+7 f(x)

A: Using definition if derivative of f/g

Q: Evaluate 1₁ 2 t(1 + Int)² dt

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 2(x² -…

A: Above question is solved.

Q: 5.) Find the volume of the solid in the first octant bounded by 2x + 3y + 4z = 12 and the coordinate…

A: Above question is solved.

Q: A small metal bar, whose initial temperature was 30° C, is dropped into a large container of boiling…

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Q: Find the value of b for which the differential equation (yelory + x) dx + (bxe¹0ry) dy = 0 10xy is…

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Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny [the Low +¹Y2 ex+y dxdy 0

A: See the details solution in below

Q: 9+xn 5n n=0 An empty set since the series diverges Find the domain of ƒ(x) = Select one: O (-1,1) O…

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Q: Find the determinant of the following elementary matrix by inspection. [0 100 1000 E = 0010 0001…

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Q: Find the Volume: Rotate the region bounded by y = 7-x², x=-2 and x = 2 and the x-axis about the…

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper…

A: We have to find the sum

Q: Evaluate the given integral by changing to polar coordinates. 4x²y dA, where D is the top half of…

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Q: Find curl F if F(x,y,z) = 7exy i-8 cosy j +5 sin²z k. curl F = -7xexy k curl F = -7xexy i curl F =…

A: In this question, we want to find the curl of given vector function.

Q: 5. Let f be a function continuous on R and F(x) = af f(t)dt. Then F"(0) is equal to 0 0 O f(0) ○…

A: Let f be a function continuous on R and Fx=x∫0xft dt. Then to determine the expression for F''0.

Q: 15. A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

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Q: Solve the following integrals: 1. S-7e*dx 2. (2ex - 6x) dx √² (3x) dx 3.

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Q: Using the Maclaurin series expansion of e, to find the series expansion of f(x). Express [ f(t) dt…

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Q: Find the area of the region bounded by the parametric curve x = e³¹, y = e²¹ and the X- axis on the…

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Q: ) a) Find the point at which the given lines intersect: b) Find an equation of the plane that…

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Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 20 cm. Answer:…

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Q: J (11x + 17) dx 2x² + 7x - 4

A: We have to find Integration of given Integral.

Q: Solve for the power series about x=0 (x² + 5)y" - 2y = 0

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Q: Let A= de ghi Assume that det(A)=-11, compute the following. NOTE: Enter all values exactly. (a) (b)…

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Q: A car is moving with uniform acceleration. it covers 200 m in 2 sec and 220 m in next 4 sec. the…

A: A detailed solution is given below.

Q: 6dx S: ³√x² x-

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Q: Find critical point of f(x)= 24x^2/3-8x

A: Find derivative of given function.

Q: an+1 Use the ratio to determine if the an +∞ n sequence {zn is strictly 2n + 5Jn=1 increasing or…

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Q: KIN T 2 2 6² 6³ 6² 0 0 ¢sinr do dr de

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Q: dy dx If y = (sin x)¹/, then (sin x) ¹/x In(sin x) x² (sin x) ¹/x x - ln(sin x) x² x cotx - In(sin…

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Q: 1. Given the function f(x)=2-4x+ +$. Please find the intervals of increase or decrease, absolute…

A: Given problem:-

Q: Problem 4. Find the second derivative of below functions. (1) f(x) = 4, (2) g(x) = ln(3x² + 2x - 5).

A: 1)f(x)=41/x 2)g(x)=ln(3x2+2x-5).

Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny Live Love ex+y dxdy 0

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Q: П 2 0 KIN 2 p² sinr de dr dø 0

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Q: Which of the following definite integrals gives the length of the arc y - 1 + 16x-dy 0 16y – 15 이 0…

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Q: A particle moves along a straight line such that its displacement at any time (t) is given by…

A: Note: There is a typo in the question.  Incorrect:  S = t^3 - 6t^3 + 3t +4   Correct:  S = t^3 -…

Q: Find the vector product (a*b) of the * two given vectors a= 2i+3j+4k, b=3i+5j, here i,j&k are unit…

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Q: A rectangular field is to be enclosed with a fence. The available fencing material is 150 meters…

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Q: f(x csc² 4x - x cos 4x)dx

A: The answer is given below:

Q: (b) Find d'y dx² where x + 2y = 1.

A: In this question, we want to differentiate the given expression two times.

Q: Transfer this number (101010) from binary to octal 53 55 54 52 O

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Q: Find the Volume: Rotate the region bounded by y = 7 - x², x = -2 and x = 2 and the x-axis about the…

A: Volume of the solid of Revolution :  Suppose y=f(x) is a continuous non-negative function on the…

Q: Identify the number of significant figures (sig figs) in each of the values. I sig fig 2 sig figs 3…

A: We can find the significant figures.

Q: 3. The radius of a cylinder is increasing at a rate of 4cm/sec. The surface area remains constant at…

A: Given

Q: 3 50 times داد + 33 u س اع

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Q: Solve for x sin (log2 (13x2 + 16x - 34) = y

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Q: Consider the region bounded by y = ex+1, y = 1, and y-axis. 1.5 0.5 -1.5 -0.5 0 Which of the…

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