valuate the integral 3t3 (t2 + 4)5 dt

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Q: Find the length of the curve 7 (t) = (3 cos(t), 3 sin(t), 5t) for – 4 <t <1 Give your answer to two…

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Q: Mark the critical points on the following graph. z°e-, 17 153 136 119 102 85 68 51 34 17 Clear All…

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Q: 3 sin z If f(2) = then 2 + cos z f'(2) =| f'(5) -

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Q: What is the equation of the tangent line to the curve defined by the given function at the point…

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Q: a. f(x) = V3x3 – 2 %3D b. y = (Vx + 1)(x² – x) 2x5-3 c. f(x) cos x d. y = sin(4x²)

A: All the questions are solved below.

Q: If + y = 8 and y(4) = 36, find y'(4) by implicit differentiation.

A: We have to find the derivative

Q: Direction: Differentiate each function with respect to x. 1) y=5 2) f(x)= 5x" 3) y=4x +x

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Q: SX³V1+ 4x2 dx .3

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Q: Use the quotient rule to find the derivative of 3 sin(2) – 10 925 – 9 You do not need to expand out…

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Q: 12 (2). Here is an Ry region, in the XY plane: Consider the change of variable u = xy and v = 3y +…

A: Here we have to write the integral by using change of variable.

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A: topic - exponential function

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Q: an+1 1. lim 0.5 an an+1 2. lim =1 an ant1 3. lim = 2 an

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Q: Solve the system of differential equation if two connected tanks as tank-1 contains 800 gal of water…

A: We have demonstrated the given information for the ease of better understanding  Let us assume that…

Q: The total cost to produce x handcrafted wagons is C(x)= 80 +3x -x +5x°. Find the marginal cost when…

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Q: Assume the acceleration of the object is a(t) = -9.8 meters per second. (Neglect air resistance.)…

A: Given data÷ As you have suggested i have solved all steps of part 1.

Q: Find the critical numbers of the function f(x) : 6x – 15a* + 20x – 1 and classify them. Round your…

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Q: 2x + x² _ 4×-1 X-1

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Q: Given f(x, y) = 2x* – 4xy – 2y?, find frr(x, y) = fzy(z, y) =

A: Solving the problem by finding the partial derivative.

Q: dy = 2xV1 – y², 17. -1< y < dx

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Q: a. Find any intercepts (list as ordered pairs). x-int y-int b. Find any critical numbers. c. List…

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Q: Find the area of the shaded region. y 14 y= 7x- x² 12 10 (5, 10) 6 4 2 y=2 x 2 4 6 8 CO

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Q: Evaluate the indicated function for f(x) = x² - 1 and g(x) = x - 3 algebraically. If possible, use a…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated lis f(0) = 6sec…

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Q: Complete the table. (Use C for the constant of integration.) Original Integral Rewrite Integrate…

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Q: Direction: Find the equation of the tangent lines. Show your solution. 1. f(x)= x2 +5x +1 at (6, -2)…

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Q: 2. The region bounded by the given curves is rotated about the specified axis. Find the volume V of…

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Q: A tank is full of water. Find the work required to pump the water out of the spout. Use the fact…

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Q: Find r(t) if r'(t) = ti+ e'j+ 3te3t k and r(0) = i +j+ k. r(t) = Need Help? Read It

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Q: COS X To check for the result, prove that CSC X+ 1- cos x xp Evaluate the lee cida nE the onuntion

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Q: Determine it the fellowing series coaverges or diveryes Give reasons tor Hi nti tirst Show that…

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Q: Use the properties of logarithms to verify the equation. -In(24) - -(3 In(2) + In(3) -In(22. -In(24)…

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Q: Find the indefinite integral and check the result by differentiation. (e5+ sec e) de

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Q: Determine the indefinite integral 6.xV-5]7 dx by substitution. (It is recommended that you check…

A: We have to solve  ∫6·x3·x43-57 dx.

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Q: If f(x) = f (x) = = COS 7 tan z, then f'(5) =

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Q: Complete the table for a savings account in which interest is compounded continuously. (Round any…

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Q: Determine the indefinite integral 6+8x3 dx by algebraic manipulation. Assume x>0 when In (x)…

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Q: 5x - 4 dx x3 + 4x2

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Q: 5. (r' -12r +43r? - 41r +5)÷(r –5)

A: Given query is to perform long division.

Q: Example 9 Video Example4) Evaluate the integral. In(x) dx Solution dx occurs in the integral. When x…

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

Q: dy find .2. 4 If y= 2x+ at x= 1. dx dy at x = 1 is The value of (Simplify your answer.)

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Q: Find the arc length of the graph of r(t) = ev2ti + e-V2tj + 2tk, 0<t< v2 In 4 NOTE: Enter the exact…

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Q: What are the slopes of the asymptotes for the hyperbola whose equation is 4x2-9y? = 36? %3D

A: Here, the given equation of the hyperbola is: 4x2-9y2=36 In standard from it can be written as:…

Q: Graph the function using translations. f(x) 3*+1 4

A: Given, y= 3x+1 Let y=0, 3x+1=0 Therefore, x-intercept doesn't exist.   Let x=0, y= 31+0=31 y= 3…

Q: Find the equation, in slope-intercept form, of the tangent line to the curve defined by the given…

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Q: Calculate whether the differential equation is exact or not and Find the general solution.

A: The given differential equation is:x2+2x+ydx+2dy=0We need to check whether the equation is exact or…