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Q: 7. Find the area of the region bounded above by the line y 3, below by the graph of y VT, between…

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Q: A point starts at the location (x, y) = (6, 0) and moves CCW along a circular path that is centered…

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Q: Calculate the second and third derivatives of y(r) = ar6. (Use symbolic notation and fractions where…

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Q: Estimate the area under the graph of f(x) = x + 2x from x = 5 to x = 11 using the areas of 3…

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Q: Publishing The following table shows the results of a survey of 500 authors by a publishing company.…

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Q: Here are three functions that are related to each other. Correcti Tries: 3 One is f(x). Another is…

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Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. 1,0 10…

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

Q: 3x2 + 4x + 1 dx 2. 2x2

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Q: 1. Find the derivative. (a) f(x) = (6x² – 8x + 4)4 2х -5 (b). у %3D 2x2 - 10

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Q: Find the curl of the vector field F. F = (x-y+z)i+ (6x-y+7z)j+ (9x +6y + z)k curl F = i+

A: We have to find the curl F

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x) sin 1 (x) xp

A: ∫cosxsin16x dx

Q: Let y = f(x) be some function and suppose f(4) = 3. %3D If the tangent line to f at a 4 passes…

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Q: 13. sec*0 sin 8 de

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Q: Find an equation of the tangent line to the graph of the function at the given point. Function Point…

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Q: Next, simplify. - 3t dt = dx

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Q: Solve the equation: 3(-4 + 4X) = 1/27. Round your answer to 2 decimal place.

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Q: Determine whether Hhe Series convergence or diverges. Stare which test cf con vergence ( divergence…

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Q: Answer the following using the chain rule (Complete solutions) 1. Differentiate f(x) 2.…

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Q: ||r'(t) × r"(t)|| ||r'(t)||³ Use the formula k(t) = to find k(t). r(t) = t²i + t5j 390 t14 K(t) = 3…

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Q: 9 Derivative of fi») 1x 4 . 5. 1 f) 1x1cosx, fird f'n)

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Q: The directional derivative of the function f(x, y, z) = x²y° – 2z° at the point (1, 1, 1) in the…

A: We want to find directional derivative in the direction of the vector

Q: Determine wheather the Following g eometric series are convergent or divergent, If they are…

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Q: 12(x2 + y²) and above the The volume of the solid under the surface z = region 22 + y 0, is a) None…

A: Given problem:- The volume of the solid under the surface z = 12(x2 + y2)and above the region x2 +…

Q: t) Determine an antiderivative, y, of the given derivative, y. Then use the given condition on y to…

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Q: c) y' = 3y + e* A. y = e3* – e/2x C. y = 2e³x – c²"/x B. y = ex – c/2 D. None of these d) y' = cos x…

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Q: x cos y + sin 2y = xy

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Q: Find the divergence of the field. F = (2x+7y-8z)i + (5x +3y+6z)j + (-6x-y+2z)H div F =

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Given region is bounded by y=21-2x and y=20

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Q: Calculate the following derivative if h(w) = Vwe3w. (Use symbolic notation and fractions where…

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Q: 1. Suppose a body has a force of 3 pounds acting on it from the west, 4 pounds acting on it from the…

A: Using vector addition  we determine the force

Q: Set up the definite integral required to find the area of the region between the graph of y= z-12…

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Q: 3n-2 5. For the sequence an = 7+5n a. Find the limit if it exists. 3n-2 b. Does the series E-1…

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Q: Given the functfion f(x) = ax³ sin(x) + be" , where a and b are nonžero, real numbers. 1. Find f'…

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Q: The radius of a sphere was measured and found to be 7 cm with a possible error in measurement of at…

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Q: 7 - over the interval [1, 5] Find the area under the curve y

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Q: 8. 21

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Q: VV1+x/xdx 5.

A: Integral

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Q: Find the smallest value of x for which the series (a + 48)" 2!n(n) n=2 is conditionally convergent.…

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Q: Find the volume of the solid that results when the region enclosed by y = e", y = 0, x = 0, x = In…

A: Given Region is bounded by   y=ex , y=0 , x=0, x=ln5

Q: Find the equilibrium point for a product D(a) 0.006x and S(r) 0.003x² Round only final answers =D36…

A: To find the equilibrium point we have to put  D(x)= S(x) and solve for x .

Q: The limit represents a derivative f'(a). Determine f(x) and a. 8h lim h - 1 h→0 (Express numbers in…

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Q: x? In x dx

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Q: The function values f(x) in the table below is increasing for 0Sx< 12. 0 369 12 f(x) 34 35 37 4244…

A: (A)∆x=3Then right hand sum =∆x(f(3)+f(6)+f(9)+f(12))                                =3(35+37+42+44)…

Q: Question Two poles are connected by a wire that is also conneted to the ground between the poles.…

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Q: A farmer wants to enclose a rectangular field with area 1,000 square meters by fencing it into four…

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Q: Find the Me a of the Jhaded) reylan 9=x-2 2. 2. 4 5 3. 2.

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Q: uation of motion in the form x(t) = Ae™it sin( V2 – 2?t + w), which ft

A: answer is in next step

Q: 7)Debermine whether the inkegra) is covergant. Pivergank If its convergant, evaluate it.

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