Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t= 8 %3D T(8) = | %3D N(8) =

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). f(C) = - (x + 1) (x² + 1) (3x² –…

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Q: Find the tangent line approximation for V5 + x near a 4.

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Q: Find the value of a in the vector i = (a, b) if b = 48 and ||ū|| = 50 %3D v is in Quadrant I

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Q: True or False: For the shell method V = T p (x) h (x) dæ False, this is the disc/washer method True,…

A: This question is based on shell method.

Q: f(x,y) %3D —4у3 — 4ху — 12у — 3х? - 5х- 21 then fyy equals O -6 -12y? - 4x – 12 — 4y — 6х — 5 - -24y…

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Q: Given the following differential equation y" - x?y = 0 After plugging in the appropriate power…

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Q: Convert the integral from rectangular coordinates to both cylindrical and spherical coordinates, and…

A: We have to convert the integral from rectangular coordinates to both cylindrical and spherical…

Q: given f (x) = 3/5 cos (6x), what is the smallest possible value for f (x)?

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Q: Kareem deposits $30,000 into an account that pays simple interest at a rate of 3% per year. Linda…

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Q: x2 - c2 x c -3

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Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x) = -3(x+5)2…

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Q: Find the general solution of the given linear differential equation. y'''' − 2y''' + 5y'' = 0

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Q: * TO 7. Determine a function whose graph has vertical asymptotes at x = ±2 and a horizontal…

A: The objective is to determine the required function.

Q: Fence Length. A fence is to be built around a rectangular area of 10 square metres. The dimensions…

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Q: -The magnal cost of a produt is modeled by , uhen x-(5, C=40. Find the cost functon.

A: Given query is to find the cost function.

Q: Ise implicit differentiation to find the specified derivative at the given point. ind dy at the…

A: Given query is to find the derivative of the expression.

Q: Aldo deposits $60,000 into an account that pays simple interest at a rate of 2% per year. Melissa…

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Q: – x² , Y2 = x² Y1 16 · x Rotate @ y – axis SHELL METHOD B V = 2. | (C.x² – E · a²)· dG • T: K A…

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Q: You are driving away from home. At​ noon, you are 216 miles away. Your velocity​ (miles per​ hour)…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: dy Find dx for y=xJ csct dt. | dt +|(Type expressions using t and x as the variables.)

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Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. sin (80) d0…

A: The given integration,θ    ∫sin38θ dθ

Q: (a) Find the numbers at which the following function y =f (x) is discontinuous. And at which of…

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Q: Given that f(1) = r°h(x) h(– 1) = 5 h'(– 1) = 8 %3D Calculate f'( 1).

A: Given that fx=x6hxh−1=5h'−1=8

Q: 4. Ricardo is taking a trip from Arizona to Yosemite National Park in California. The gas mileage in…

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Q: Inspect the graph of the function to determine whether it is increasing or decreasing on the given…

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Q: ............................................... Flight of a Model Rocket The height (in feet)…

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Q: Use the properties of logarithms to expand the following expression. 5 3 2 Each logarithm should…

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Q: Evaluate the following limit using L'Hospital's rule. lim (cos(6x))) Provide your answer below: lim…

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Q: Determine whether the given series converges or diverges. 4n – 8n 5" n = 1 converges O diverges If…

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Q: Suppose a person travels at a rate of 3 ft/hr toward the foot of a street lamp pole 64 ft high. The…

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Q: given f (x) = 3/5 cos (6x), what is the largest possible value for f (x)?

A: Given query is to find the largest possible value of the function.

Q: Question 12 Find the derivative. y = 126x A (72 In 12)126x B (12 In 6)126x (C) (72 In 6)126x D (6 In…

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Q: Finding an Equation of a Function  Find an equation of the function f that has the given derivative…

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Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x

A: We will put value of x =g(x)

Q: Find the unit vector e, if i = ( – 2, 2) ey =

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Q: P(t) = P,elin(2) · t) where t is the number of subdivision periods (time), and P(t) is the size at…

A: Given P(t)=P0  et ln2

Q: etermine the magnitude and direction of the vertical shift and the phase shift for the function…

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, у) Va2 - x2 -…

A: Here we have to find the area of the surface given by z=f(x,y) that lies above the region R.

Q: Find the values of x for which the function is continuous. f(x) 5x2 + 7 7 all x, х # 5 7 O all x, x…

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Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

A: Given integral ∫13 2x+6x2+6x+2 dx

Q: Differentiable Function. If a differentiable function f(x) satisfies f(-2) = f{2) then there exists…

A: Given that f-2=f2 we need to show that for what condition c∈-2,2

Q: A nursery has determined that the demand in June for potted plants is The cost of growing x plants…

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Q: Determine the of : In (xy²) = x y dx

A: Derivative dydx of equation  lnxy2=xy

Q: A box with a square base and open top must have a volume of 442368 cm³. We wish to find the…

A: Solution: Let x be the side of the square while y be the height of the open box, then as per the…

Q: Evaluate the definite integral. 7t ej+t O e? - 1 i - elj+ 7 2 O e? - 1 i+ 7 k - O eľ - 1 i - 7 1 k -…

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Q: 10. (Section 4.4) Find the area of the region bounded by f(x) = x² + 3x + 1 and g(x) = 6x + 1.

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Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

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Q: Question Evaluate the following limit using L'Hospital's rule. 168 2.x lim X12 [5x2 - 85x + 300…

A: topic - limits

Q: fx,у) %3D -2у + зху + 8у - 4х2- бх — 7 then f equals ху О Зу - 8х — 6 O -12y O Does Not Exist Оз…

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Q: Inspect the graph of the function to determine whether it is increasing or decreasing on the given…

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