5- The tail of vectors a and b form two sides of a parallelogram. Vectors is 30 degrees, and the magnitudes are 5 and 10. Determine the area of the parallelogram!

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Q: Suppose I want to make a simple garden with 3 plots (pictured below) out of wood. y If I have a…

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Q: 8. Find the point on the curve y = √2x 3 from the point (1, 4)-

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Q: Solve the integral shown below. So cos¹¹ 3xdx Só 11

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A: To find the volume of the given solid.

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Q: Double Integrals In each problems a) sketch the domain F over which the integration is performed;…

A: Given problem:-

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Q: J (11x + 17) dx 2x² + 7x - 4

A: We have to find Integration of given Integral.

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A: We have to find the intersection of 3 planes.

Q: Q3- Sketch the region of integration and evaluate the integral: In8 lny [TD [t ex+y dxdy

A: Given problem:-

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A: Here, the given curves are: r→1(t)=-2t,t5,t6 and r2→(t)=sin(-2t),sin(-4t),t-π which intersect at the…

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

A: Given

Q: 2dx 3 x - √x² 2 S

A:

Q: 1 Consider the function f (x) = on the interval X - 1, 1]. If the Mean Value Theorem can be applied…

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Q: A population of deer grow according to the model N(t) 12(5 + 3t) 1 +.04t 1 where t is in years and N…

A: Let's solve by using diffrentials.

Q: f(x csc² 6x - x cos 6x)dx

A: Given: I=∫xcsc26x-xcos6xdx   As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx And a).…

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A:

Q: Which of the following equations is(are) true? 1 S xdx lim = ( Σ 2+ =1 1 I xdx = - 2 + -2 O None of…

A: Above question is solved.

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A: Use partial fraction to evaluate the integral

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A: Given, ∫(x csc2 6x-x cos 6x)dx

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Q: Determine the area below y = 3 + 2x - x² and above the x-axis

A: You must have an idea about how to use definite integral to get the area of any bounded region.

Q: √√3 L dx 1+x²

A:

Q: Determine if the improper integral is convergent or divergent?

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A: which of the following is not an improper integral??

Q: dx √1 + 4x²

A: Let's evaluate given integral by using trigonometric substitution.

Q: e2-1 Evaluate: limx→0 2x²+x 01 O ∞ 00 O None of the choices 02

A: The given limit is: limx→0e2x-12x2+x   As we know that; The Chain Rule: fgx'=f'gx·g'x

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Q: 2) for evdxdy

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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.

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Q: Solve the following x³-x²-√√2x limx→2²-11x+18

A: Above question is solved.

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: Q3- Sketch the region of integration and evaluate the integral: In8 lny ex+y dxdy 0

A:

Q: (a) In the accompanying figure, the area of the triangle ABC can be expressed as area ABC-area…

A: Let's solve for area of the triangle.

Q: Using the given geometric sequence find a7 3,0.3,0.03,0.003 a7____

A: topic- geometric sequence

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Q: EVALUATE S 4x²-x+4 x³+x²+2x+2 dx

A: A detailed solution is give

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Q: Hả+b+c = 0, show that ả x b = b xả = xã

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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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