Test Identify b 00 Σ(-1)^_ n = 1 Evaluate the following limit. lim b 718 3n+ 5 n Since lim b? 0 and bo 718 n+1 Ling ?b for all n ≥ 2, |---Select---

Q: Let p=20-√√x and C(x) = 358 + 3x, where x is the number of garden hoses that can be sold at a price…

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Q: Question 14 find derivative of y = 52x-3 In(2x-3). 52x-3.2 In5.52x-3.2 In5.52x-3.3 In3.52x-35

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Q: Find T (t) and N (t) for the curve r(t) = ti + cosnt j + sinnt k.

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Q: (A) Estimate the area under the graph of f(x) = 5 x from x = 1 to x = 6 using 5 approximating…

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Q: The equation S(d) = 96log(d) + 72 relates the speed of the wind, S, in miles per hour near the…

A: The rate of change of a function f(x) with respect to x is f '(x)

Q: Describe the long run behavior of f(x) = -xº As a →∞o, f(a) → ? ✓ As a →∞o, f(a) → ? ✓

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Q: Determine intervals of increase and decrease as well as zeros and y-intercept and provide a rough…

A: fx=x3+2x2+x

Q: y'(x) = y = ecosh (2x)

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Q: Change from rectangular to spherical coordinates. (Let p≥ 0, 0≤ 0 ≤ 2л, and 0 ≤ y ≤ π.) (a) (0,5√3,…

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Q: There are three options for investing $850. The first earns 11% compounded annually, the second…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subaprts…

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

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Q: Find b and c so that y=−6x2+bx+c has vertex (−5,−8).

A: Parabola y=-6x2+bx+c has vertex at (-5,-8)

Q: Assume that f is a one-to-one function. (a) If f(7) = 17, find f-¹(17). (b) If f¹(4)= 3, find f(3).

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: Sketch the region R of integration and switch the order of integration. 6 [[* f(x, y) dx dy 7₁

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Q: A yo-yo is moving up and down a string so that its velocity at time t is given by v(t) = 2cos(t) for…

A: Given : v(t) = 2cost The average value of a function v(t) on an interval [a,b] is given by the…

Q: Use cylindrical coordinates. Evaluate the integral, where E is enclosed by the paraboloid z = 9 + x²…

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Q: •π/2 4 ƒ/² gπ/² p² cosc 0 0 0 32 A) TO 9 osin o do do B) - 7² de D) 32²7²

A: I=∫0π2∫0π2∫04cosφρ2sinφ dρ dφ dθ

Q: 3. The axes of two right circular cylinders of equal radius 36 cm intersect at right angles. Find…

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Q: Show that the value of f(x) approaches the value of g(x) as x increases without bound graphically…

A: f(x)=(1+3x)x and g(x)=e3

Q: Plane 1 passes through the points P(-1, 2, 1), Q(0, 2, 1), and R(-3, -2, 1). Plane 2 passes through…

A: Plane 1 passes through points P-1,2,1,Q0,2,1 and R-3,-2,1Plane 2 passes through and has a normal…

Q: Determine the intervals of increase and decrease as well as the intervals of concavity for the…

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Q: [2x (In x³) ²0 3 2 X dx

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Q: x - 1 x² + 4x + 13 J dx

A: As per the guidelines we are only able to solve 1st question, and please upload the rest of the…

Q: 4. Find fffy div F dV, when F = (x² + xy)i + (y² + yz)j + (z²+zx)k, and V is the cube centered at…

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Q: Find the area of the region inside the circle r=-6 cos 0 and outside the circle r= 3. The area of…

A: r=-6cosθr=3  Find the point of intersection of the curve -6cosθ=3cosθ=-12θ=2π3, 4π3

Q: Evaluate the integral (by interpreting it as the area between two curves) 1 |x³ — x| dx

A: Here we can see the graph will have a turning or inflation point at 0. Therefore, the integration of…

Q: Use the Root Test to determine whether the series is convergent or divergent. 00 Σ (² + 2)²² 1+ n n…

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Q: Determine whether the statement is true or false. True False •[º [F(x) If f and g are continuous on…

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Q: Determine whether the statement is true or false. True False If lim f(x) = 1 and lim g(x) = ∞o, then…

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Q: Suppose that f(2)= -5, g(2) = 2, f'(2) = -3, and g'(2) = 1. Find h'(2). (a) h(x) = 2f(x) 4g(x) h'(2)…

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Q: Let Q represent a mass, in grams, of carbon 14 (1¹4C), whose half-life is 5700 years. The quantity…

A: Let Q represent a mass, in grams, of carbon 14 C14, whose half-life  is 5700 years. The quantity…

Q: 3. Solve the following Initial Value Problem. The number of cable telephone subscribers was 3.2…

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Q: A marketing team is going to buy promotional coffee mugs as giveaways. The manufacturing company…

A: Fixed cost= $350Cost per mug=$3

Q: Find the Maclaurin polynomial of order 3 (three) generated for f(x) = ex sin x.

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Q: The tank shown below is full of water. Using the fact that the weight of water is 62.5 lb/ft³, find…

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Q: Learning Target IAI: I can compute the area between two curves. 1. Set up the integral to find the…

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Q: Find all possible functions with the given derivatives. a. y' = 2x b. y' = 2x - 5 c. y'= 3x² - 2x -…

A: a y'=2x           b y'=2x-5           c y'=3x2-2x-5

Q: The reaction of the body to a dose of medicine can sometimes be represented by an equation of the…

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Q: 6. Evaluate: f x dx x3+2x²-x-2

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Q: . Find the value of a so that the following function has a point of inflection at x=6 f(x) = ax³ -…

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Q: For the following exercises, find f'(x) for each function. 107. f(x) = 5x³x+1 425 109. (x) = 8x4 +…

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Q: Evaluate the indefinite integral 3y¹4 √5 + 3 dy

A: ∫3y14y5+5dyLet y5+5=x2on differentiating5y4dy=2xdxon substituting the value in above…

Q: The price of a double-dip ice cream cone is increasing at the rate of 18e0.06t cents per year, where…

A: GIVEN: The increasing rate of ice cream is  dPdt=18e0.06t Where t=0 in 2000 To find: Total change in…

Q: Let f(x) 2x²-3x+1 2x²-x-6 This function has: 1) A y intercept at the point 2) x intercepts at the…

A: f(x) =(2x2-3x+1)/(2x2-x-6)

Q: Let f(x)=x²-12x+3. Find the critical value for f(x). We want to find the absolute extrema of on the…

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Q: Evaluate the indefinite integrals using Substitution. (use C for the constant of integration.) s a)…

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Q: f(x, y, z) = 2x − 3y + 8z, (-6, -9,7) A) -12i - 27j + 56k C) -6i - 9j + 7k B) −12i + 27j + 56k D) 2i…

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Q: Use your graphing calculator to solve the equation graphically for all real solutions 2³-6x²+x+28 =…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Change from rectangular to spherical coordinates. (Let p≥ 0, 0 ≤ 0 ≤ 2л, and 0 ≤ y ≤ n.) (a) (5,…

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