Find for the given function. w= 10z2 e?

Q: 9-4x²dx

A: Evaluate indefinite integral.

Q: Find the length of the arc of the curve 4y² = 9x³ from the origin to the point (2,3v2).

A: Arc length of a curve y=f(x), x∈[a,b] is given by,          L=∫ab1+y'2dx ∫xndx=xn+1n+1+C, C is a c...

Q: Find the real zeros of each polynomial. 11. f(x)=x-2x2-5x+6 12. f(x) =x' +2x'-12x-40x-32 13. f(x)=x'...

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Q: the Cartesian coordinates of (2, -7/3). Then plot the point. I=r cos 0, y = r sin 0

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Q: 14. Find the orthogonal trajectories of the family of curves 1 y =- (x + k)³ (a) y = (3x+ C)/7 (d) y...

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Q: /9-4х2 dx

A: We know, (i) ∫dxx2-a2=12alogx-ax+a+C, C is a constant.

Q: ITxy* dy dx x2

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: Solving as per the instruction given in the question we get.

Q: cosh^2at find the Laplace transform

A: f(t)=cosh2(at) we want to find the Laplace transform of a given function  formula L coshat=ss2-a2

Q: 6. Evaluate the following indefinite integral as an infinite series. sin x (a) (-1)". 2n+1 (b) (-1)"...

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Q: Solve for the derivative of the following and simplify if possible. f(w) = tan w sec w

A: We can find the derivative as below using the product rule

Q: Find the centroid of the volume formed by revolving about the x – axis the area bounded in the first...

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Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and 2j +k as adjacent sides. NOTE: Ente...

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Q: 2. Construct a table of values to investigate the following limits. 2r +1 lim a. 42 I-3 I+3 if z1

A: This is a problem related to the limit and continuity. Limit of the function is exist if right hand ...

Q: xcscx g(x) : 3-cscx

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Q: Sketch the graph of the level curve corresponding to z = 6 for the following function. z = f(x, y)=9...

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Q: y = x2, y + 2x =8. ntify the volume generated by revolving amd y = 0, rotated about the y-axis.

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Q: In a psychology experiment, the time t, in seconds, that it takes a rat to learn its way through a m...

A: Given density function of time t in second for a rat for its way through maze  f(t)=0.04 e-0.04t

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 9(x² – ...

A: Given: y2=9x2-a2 Portion of the curve in the 1st quadrant is revolved about x=0 (y-axis) from y=0 to...

Q: II. Evaluate the following limits. 1. lim sin x X→- 2

A: To find out the limit. 

Q: Find the volume generated by revolving bout the line x = -1 the area bounded by (y + 2)? = 4(x + 2) ...

A: Let R be the reion bounded by y+22=4x+2 and x=-1.We have to find the volume generated by revolving t...

Q: | In|Vi + 1| dx

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Q: a man who is standing 5 meters above a shoreline is pulling up a boat that is 12 meters away from th...

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Q: x² + ax + 2bx + 2ab + 2x² – ax² + 6bx² dx x* + ax² + 2bx² + 2abx²

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Q: "/2 cost x dx "/4 sin6 x

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Q: Express the following numbers in scientific notation: а. 0.001121 b. 2,000,000,000 c. 756,000 d. 0.0...

A: a) 0.001121=1.121×10-3 b) 2000000000=2×109 c)756000=7.56×105

Q: . Determine an equation of the line of intersection of the planes 2r - y + 3z = -1 and x+ 4y – z = 2

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Q: Find the vector component of v = 2i –j+3k along b = 6i + 6j + 7k and the vector component of v ortho...

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Q: Original Integral Rewrite Integrate Simplify x dx dx + C

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Q: 1. Simplify. a. 2168 3i-89 + 4i114 125 +21213 31-314 b. 597 4185

A: a.Solution :2i68-3i-89+4i114we know that i2=-1i3=-ii4=12i17×4-3i-22×4+1+4i28×4+22i17×4-3i22×4+1+4i28...

Q: 1. From the graph, determine the function f (x) is continuous at x = -1. f(x) 3 %3D %3D -5 -4 -3 1 -...

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Q: . Solve the initial value problem (zln z)y/ + y = x²e y(e) = 1 ze² +1- ee+1 e (x + 1) +1– e°(e+1) (b...

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Q: 8. On a warm day, the temperature of a room is 23°C. A biological sample is taken from cold storage ...

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Q: Given the following power series, Ln=2 sho 2' 2 1 - that it converges when x = –9 using the Alternat...

A: Solve the following

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: | InlvE + 1| dx

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Q: T/2 Evaluate using Wallis' Formula: sin? x cos5 x dx

A: Topic = Integration

Q: find the range of the function f(x,y) given the function and domain. f(x,y)=x/y, D={(x,y): 0x}

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Q: x dx

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Q: 11. Which model seems most appropriate for this scatter plot? a. linear b. quadratic c. exponential ...

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Q: Original Integral Rewrite Integrate Simplify dx 9. X + C dx

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Q: 16. Sketch the parametric curve x = Vt, y= sin t, 0<t< 2n. (b) (a) 1.0 (c) 101 1.0 0.5 0.5 0.5 05 10...

A: The graph of the parametric curve x=√t, y=sint , 0≤t≤2π is given as below,  

Q: How-3 Find Zxx if Z=fcusvd uz x?y,V=2xy Exfress the answer interms of Xy, Zu, Zv

A: Implicit Differentiation: If z=f(u,v) , u=g(x,y) and v=h(x,y) then, ∂z∂x=∂z∂u∂u∂x+∂z∂v∂v∂xand ∂z∂y=∂...

Q: 4. lim sin x X- 2

A: limx→π2sinx

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: What is the equation of the tangent line of y= -2x + 5 at any point? A. y = 2x - 5 B. y = -2x + 5 C....

A: Given y = -2x + 5

Q: 4. Use f(x) = x² - x, g(x) = 2x - 1 and h(x) = x + 3, determine g(f(x)). %3D %3D

A: This question can be solved using the concept of composition of function.

Q: In considering normal and tangential components, the t axis is tangent to the curve at the point tha...

A: True. When a particle moves along a curved path, it is sometimes convenient to describe its motion u...

Q: 1+cos 4x dx 1-cos 4x Evaluate

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Q: Ja 1. Suppose a < b< c, solve: i. (x) - g(x)]dx ii. (x)dx

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