Oppgave 1 Regn ut integralene (dersom de eksisterer). Sre [x² x cos(x) dx S In(x) dx x7 15 1/√ √ √e√x+1dx 2 a) b)

Q: Sketch the region enclosed by a y²-56 and x+y=0 Decide whether to integrate with respect to x or y,…

A: Consider the curves  x+y2=56x+y=0

Q: A. Evaluate the iterated double integral. 2 i) ²xye' dxdy

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Q: Q6. Verify 02 f exDy Dyx for the function f(x, y) = x² sin2y + y²sin2x

A: A detailed solution is given below.

Q: t² +3t t--3t²-t-12 b. lim (-3)²-9 u-0 น (x+h)³-x³ C. lim h→0 h a. lim

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: D) Find the parametric and symmetric equations of the line through the points (1,2,0) fic and sym of…

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Q: Determine the area to the left of x = 3- y² and to the right of x = -1

A: See the details solution in below

Q: √√3 ल dx 1 + x 2

A: The given integral is 1/(1+x2) limit from sqrt(3) to sqrt(3)/3.

Q: A stone is tosse long will it take

A: Please refer to the image below

Q: What is the sum of the infinite series 1 "n=1 102m ?

A: Sum of the infinite geometric series , S =a1-r ; where , a-first term and r<1 is common ratio .

Q: The x-component of a force of 50N is 30N, then what will be the y- component of the same applied…

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Q: iv) Sº³ §¾½5 √xª + 1 dxdy

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Q: 50lve the first order ODE UA x'sint - x Cost = -1

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Q: Q2: write and prove an Approximation property for the Supremum.

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Q: S tanx It Cosuy dx

A: Topic:- application of integration

Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p…

A: "According to the guidelines issued by the company we are supposed to answer only first three…

Q: Find the upper Riemann sum U(ƒ,P) and the lower Riemann sum L(f, P) for each of the following…

A: Given :P :=0<14<12<1 be a partition of 0,1f(x)=1+x,0≤x<191-x,19≤x<141+x314≤x≤1

Q: The function f(x) = x² + 1 is Bijection from R to R O Injection from R to R Onto and Injection from…

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Q: If z = 9x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. dz =…

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Q: point D at the fastest possible time. You can walk faster along the road compared to on sand. If…

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Q: Which of the following is equal to In 4 ? 4 offen O et dt 1 O ln 3 + ln 1 dt of - In 8 In 2 t

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Q: Making a suitable change of variable and modifying accordingly the limits of integration, calculate…

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Q: Question 6 Find two numbers whose sum is "a", if the product of one to the square of the other is to…

A: Using algebraic operation

Q: can you answer question 3 please

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Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

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Q: So Sty dx dy √y(1+x²) The value of integration is very high

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Q: Find the volume of the solid obtained by rotating the region bounded by x = 8y², y = 1, r = 0, about…

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Q: Differentials: Determine the differential of the following: 3x² - 6xy+3y²-2x+2y-1=0

A: Given: 3x2-6xy+3y2-2x+2y-1=0

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: his prism has a right triangle for a base. The volume of the prism is 54 cubic units.  Find the…

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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: A curve is defined by the parametric equations Find the length of the curve from t=1 to the closest…

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Q: C. h(x) = = |x| x+3' x > 0

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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: Select the correct answer to the following problems: a) f(x) f(x) dx ○ f(4) 00 ○ f(0) f(x-4) f(x)dr…

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Q: 5. Find the derivative of: a. f(x) = cos(e³x-4)

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Q: 1. Evaluate a) lim b) lim X-T K1O the limit sinx x²-x2 4 In (1-x) + x + == x² 2 23

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Q: What is the anticlockwise moment acting on this crane? 25 m 5m load M20000 N 4000 N movable-…

A: Above question is solved

Q: Find  dy/dt  using the given values. y = x3 − 2x for x = 4, dx/dt = 1. dy dt =

A: The objective is to find dy/dt.

Q: 11. An expression that is equivalent to 2tan z Otan z Ocot z 02 cot z sin 2x 1-cos 2z is

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Q: Q3) Determine the maximum point of the function f(x) = x(5-x) with Fibonacci search method, if the…

A: Here, we have fx=x5π-x. The number of experiments to be performed are n=4 and the first uncertainty…

Q: - Find all the second-order partial derivatives of the function: s(x, y) = tan-¹(x) -1(y/x)

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Q: -) Consider the sequence 1, - Determine tg- 128 2187 64 b) 79 33-80 27' 128 2187 64 79

A: Above question is solved.

Q: Which of the following is the particular solution of the differential equation dy dx y = 0 when x =…

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Q: Find the arc length of the curve y In(cosa) from = 0 to 2/4.

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + ex,…

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Q: f(x) = -3 cos (+)-2

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Q: Question 1 of 14, Step 2 of 3 1/20 Correct When a factory operates from 6 AM to 6 PM, its total fuel…

A: Given query is to find rate of consumption at 10 AM.

Q: ’(x)5 or -60 if x0 if x7 ; F^’’(x

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

A: Given

Q: dx x² + 8x + 7 2

A: We know, ∫dxx-a=lnx-a