4- part 1 Find the derivative of the function f(u) = 4u° 4 - 2u1.8 0.4 %3D = (n),1

Q: Describe the graph of the equation x2 + 4x – 16y + 36 = 0. -

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Q: dy for each of the following: (2 p dx 5. Find (a) y=|(cost+e' – sint+3t³ )dt 3. csin x (b) y = (t2 +…

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Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use dx x(In(x?))5

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Q: Find the domain of the vector function. (Enter your answer using interval notation.) r(t) = (v 36 –…

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Q: Let D, be the linear transformation from C'[a, b] into C[a, b]. Find the preimage of the function.…

A: We have to solve above question

Q: ve the following differential equations of dy r'y-r'. d = y* · cos(x). dx

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Q: the 1. For f(x) = r8/3 - 4x5/3, find a). the domain and f', b). f" (simplify f"), %3D c). the…

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Q: 2. Find the absolute minimum and the absolute maximum of the function f(x) = x - 4r +5 on the…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 6…

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Q: Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x/2 from (0, 0) to (4, 8)

A: Here we have to evaluate        ∫c (2x-y)dx+(x+3y)dy

Q: 6) Determine the equation of the tangent line to y = x/x when %3D x = 4.

A: Equation of tangent line

Q: Determine the area of the region bounded by x = y2 – y -6 and x = 2y +4.

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Q: Determine whether F(x, y) = 3xi + 7yj is a conservative vector field. If so, find a potential…

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Q: 14. +3x*.

A: In this question we have to solve the definite Integral.

Q: 3. Find the area, take the elements of the area parallel to the x-axis. y= 2x°- 3x-9x; y =…

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Q: Sketch the region enclosed by Y 6x and y = 9x". Find the area of the region.

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Q: Use the plot provided below to match each statement with the correct match given the choices below.…

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Q: Determine whether the vector field F(x, y, z) = x'5 i + y'5 j + z!5 k is free of sources and sinks.…

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Q: Find the centroid of the region bounded by the set of curves y = 2x? + 10 ,y = 4x + 16 ,x =-2,and x…

A: Given

Q: Find the derivative of the function at Po in the direction of u. X-y g(x,y) = Po(- 1,1), u= 12i + 5j…

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Q: Let fa)=S(-5-x2 + 23x +19 f Xチー6 if X= -6 calculate the following limits. ENter DNE if the liniit…

A: l

Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at 6…

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Q: Find the coefficient of w2r?y'z? in (2w-z+3y- 2z+2)°.

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Q: 7. Let f(a) = (4 – 3x)" f(1) has one critical value at A = For x A, f(x) is Decreasing Increasing

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Q: Find the equation of the tangent line of y = 6e* at xo = 0. (Use symbolic notation and fractions…

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Q: Evaluate | (2x – y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (8, -5) -80

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Q: A region Rxy, in the XY plane, is shown below: A) 1- JJRa 2r + 3y – 6 = 0 2r +3y+1 0 Rry %3D…

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. =…

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Q: Describe several types of line integrals and discuss how they are related.

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Q: A company that produces cell phones has a cost function of C = 6x² – 197x + 1859, where C is the…

A: C= 6x2-197x+1859differentiating w.r.t xC'=12x-197+0C'=012x-197=0x=19712

Q: 01r (a)lev 7) Find the area of the region bounded by the curves y= x² and y = x+ 2. Sketch the area,…

A: In this question we have to find the area of region bounded by the curve and line.

Q: sin sin ³ O de *と

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Q: Exercise 1 A Write number sentences for the problem situations. Then solve the number sentences to…

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Q: Comparing Graphs of Derivative Functions Date Given the graph of f(x), sketch an approximate graph…

A: Given graph of function f(x)

Q: Evaluate the line integral along the path C given by x = 2t, y = 8t, where U + dy

A: Given

Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

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Q: 1 Consider the function f(x) : 2x. At what value of T does f(x) 48 have a critical point? Round your…

A: The given function is: f(x)=148ex-2x For critical point, solve f'(x) = 0 for x.

Q: Write the equation of a sine or cosine function to describe the graph.

A: We know the general form of sine isy=asin(k(x-θ))+bb is the vertical shift of the graphfrom graph…

Q: 3. Suppose that the revenue in selling x tables is equal to 200x – 0.25x2 dollars, and producing a…

A: Suppose that the revenue in selling x tables is equal to 200x-0.25x2 dollars, and producing a table…

Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x2 - c and y = c – x² is…

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Q: Write the vector equation 2 3 1 3. + x2 -2|+ x3 1 -3 (a) Write as a system of linear equations. (b)…

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Q: The motion of a point on the circumference of a rolling wheel of radius 3 feet is described by the…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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