Question 7: Evaluate v² dv (Reimann Method)

Q: Evaluate the integral. t2 sin(2t) dt

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Q: 4 x2-4 xp

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Q: Findthe volume of the solid obtained by rotating the region bounded by the given curves. y=radicalx ...

A: Given Equation y=√x ,x=4 and y=0 

Q: Find u v. u = 4i - 3j v = i - j V U V =

A: Finding the dot product of u and v

Q: 5. Consider the graph of f (x) shown. Does the lim f (x) exist? Is the function continuous at x=3? E...

A: This question is related to limit and continuity,  we will solve it using given information. 

Q: Compute the indicated derivative. U(t) = 5.9t2 + 5.9; U'(4)

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Q: 30. 7/3 tan'x sec'x dx

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Q: Suppose C(t) is the cost, in thousands of dollars, of producing t tons of white paper. If C'(10) = 3...

A: suppose c(t) is the cost in thousands ot dollars ,ot producing t tons of white paperIf            C'...

Q: The function e* (x² – 1) is equivalent to the series: Select the correct response: 19 - x³ + -x' + 1...

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Q: [5tan 20 elan 28 sec? 2 Bd B 1.

A: Gievn, ∫5tan2βetan2βsec22β dβ We can solve this by substituting u=tan2β  

Q: On the domain of (-27, 27), for which of the following values of x will sin x = csc x? Choose all an...

A: Our Aim is to find the following values of x which satisfy sin (x)=csc (x)on the domain of -2π, 2π.

Q: 2e3 Evaluate 1- eT

A: Given query is to find the value of the integral.

Q: What is the center of the circle with the equation: x² – 10x + y²=- 9? Blank 1 Blank 1 Add your answ...

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Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - What is the...

A: As per the instruction, we will answer only the first one. Given f(x, y) = √y - 2x. So, domain for s...

Q: 2. Let R be the region bounded by y = 4x – 2x²,y = x. Provide an accurațe graph of the functions abo...

A: Given query is to find the draw the graph and then find intersection points and area of the region b...

Q: Find the limit of the infinite sequence. (2n–1)² n²+8 tn Enter dne if the limit does not exist. If t...

A: Given that: tn=(2n-1)2n2+8

Q: Find the volume of the solid generated by revolving the region enclosed by y = x2+1 and y= x+3 about...

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Q: Please solve and show all work. Thank you!

A: Topic:- geometry

Q: Question Evaluate the integral below. dx

A: Given that: ∫x7e3x4dx

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: 1. Let f(r, y) = arctan(ry). (a) Find the unit vector in the direction where the directional derivat...

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Q: A glacier in Republica was observed to advance (h)2.5______ inches in a (i)____71_______ minute peri...

A: This is a basic problem of calculus

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded from above by the g...

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Q: nd [(dy)/(dx)] if the curve is defined by 7 x? e7y + 6 y² e² x

A: We are asked to find the derivative 

Q: Evaluate f 8e7x+e7= da

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Q: S 4- e-2) cos(e- + In z) dz

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Q: The contours of f are a sheet faling off to zero not defined parabolas lines

A: Here is the image of the graph in the 3d. Blue is z axis.

Q: Solve the following second-order differential equation: y" + 4y/ + 5y = 8x sin x

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Q: For the following exercises, find the volume generated when the region between the curves is rotated...

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Q: What is the equation of the directrix of the parabola X+2x+4y-27=0 2

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Q: Let f be a differentiable function. If f(60) = 378 and f'(60) = 6, use a linear approximation to est...

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: Given: limx→0+6x+1cotx   As we know from the limit rule; If the limit is limx→afxgx and it results o...

Q: (Hint, the parentheses, are where you are renaming in terms of sin or cos, or when you are getting a...

A: Topic = Trigonometry

Q: Find the area under the graph of the function f(x)= 7sin(x) bounded by the x-axis and the lines x=0 ...

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Q: -3 evaluate the integral (x2 – x + 2) dx using its definition.

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Q: and evaluate the integral that gives the volume of the solid generated by revolving the plane region...

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Q: For the function f(x) = sec x, which of the following are not possible values of f(x)? Choose all an...

A: From the definition of secant function, the range of secant function, y = sec (x) is y∈(-∞,-1]∪[1,∞)...

Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5 ...

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Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length...

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Q: Part 1. Setup the integral that will give the mass of a metal rod that is 1l inches long (orientated...

A: length ofrod = 1 inches density of rod ρ=4x lb/in

Q: Rewrite the statement in mathematical notation. (Let R be the annual revenue of your company, q be t...

A: Given Revenue R=$4000  

Q: (x1+e*)dx e* -In(4) 3.

A: Given that: ∫(x-1+ex)dxex-ln1xdx

Q: Find a set of parametric equations for the tangent line to the graph at t = t0. (Enter your answers ...

A: The given question can be solved as shown in step2.

Q: 22 – 11z + 28 Find the limit, if it exists: (Do not use L'Hospital's rule) lim 7 2 – 26x + 133 Note:...

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Q: 22. n/2 sec (t/2) dt 24. | (tan?x + tan*x) dx

A: using the properties of integral we find the given integral 

Q: A circular swimming pool has a diameter of 8 meters. The sides are 4 meters high and the depth of th...

A: Using fluid concept

Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 23 = 8 is l...

A: We can convert to logarithmic form as below

Q: 28. tan (2x) sec (2x) dx

A: follow the procedure given below.

Q: Consider the graph of f(x) given below. (a) Analyzing the graph, if g(x) = f(æ), then g(x) is increa...

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Q: The domain of f is O y - 2x > 0 y = 2x none of these O y< 2x

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