1 (i) lim

Q: Find the derivative of  x6-6x5+3x2+1

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.)   (a)  lim x→c+ f(x)...

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Q: Find an expression for the function whose graph consists of the line segment from the point (-2,2) t...

A: Given Line segment passing from

Q: Solve radical equation. x - (√2x + √5) = 5

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Q: Compute for the area of the region bounded by y = x² - 2 and y = - (x - 1)² + 3. Enter only the nume...

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Q: Y(6) = cot(5s)- 3 tan s - csc (5s)- 3 sec' s s:y (s) |

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Q: a ball is thrown into the air with a velocity of 36 ft/s, its height (in feet) after t seconds is gi...

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Q: Solve the equation for x. arccos x = arcsec x

A: Concept: Calculus involves the study of rate of change, which is used to calculate the objects which...

Q: Evaluate each piecewise function for the given X-values. When decimal answers are required, round to...

A: 5) The value of any function f(x) is determined by putting the value x a) At x=0 Since x = 0 is less...

Q: 2. Let R be the region betweeen the curves y = x and y = Va from x = 0 to x = 1. Consider the solid ...

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Q: Evaluate each piecewise function for the given X-values. When decimal answers are required, round to...

A: 3) Given function, To find f(-1) we need to use first piece of the function, because -1 <  0. Th...

Q: Suppose that ƒ'(x) = 2x for all x. Find ƒ(2) if ƒ(-2) = 3.

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Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

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Q: Use the Intermediate Value Theorem to show that each polynomial has a real zero between the given in...

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Q: find the eccentricity of the ellipse. Then find andgraph the ellipse’s foci and directrices. 7x2 + 1...

A: The equation of the ellipse is given by  The formula of the eccentricity,  

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Given: Definite integral Sum Rule of integration,  

Q: Questions -based on, "function given".. I have tried it but couldn't figure it out... They are two s...

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Q: Determine the smaller area bounded by x + y = 4 and X + y = 2. Enter only the numerical value accura...

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Q: Suppose that A is an eigenvalue of an invertible matrix A. Show that I/ A is an eigenvalue of A - 1

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Q: What is the domain and range of the graphed function?

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Q: Find inequalities that describe the solid and state the coordinate system used. Position the solid o...

A: A cube with each edge 10 centimetres long. The given solid is a cube, therefore the coordinate syste...

Q: An arch is in the shape of a parabola. It has a span of 80 meters and a maximum height of 10 meters....

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Q: Calculus Question

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Q: Determine the expression for Fyz(x, y, z) given the function F(x, y, z) = 2x²y – xz? 3y z.

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Q: Is this piecewise function one-to-one?

A: Consider the given function: Here the objective is to determine whether the given function is a one...

Q: 6) Use the given graph of the function f to answer the following questions. 180 150 120 90 30 What a...

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Q: Use the definition of the derivative to find the derivative of f(x)=8x+0 f^1 (x)=

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Q: x-2 4. Using substitution method to solve dx? Please x+1 identify u and find du. Then solve problem.

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Q: Use integration tables to find or evaluate the integral ∫ x / √(4 + 5x)  dx

A: Consider the given indefinite integral: Here the objective is to evaluate the given indefinite inte...

Q: Applications of Lagrange multipliers Use Lagrange multipliers in the following problems. When the co...

A: Let the dimensions of the rectangular box be x, y and z The girth is given by (2x + 2y) We have to m...

Q: 1. On average, a single apple tree produces 600 apples in a month; however, overcrowding can diminis...

A: Average produce of a single tree = 600 apples per month For every tree over 30 trees planted in an a...

Q: Consider the following. Function Point (-플) f(x) = tan? x 4 (a) Find an equation of the tangent line...

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Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it does...

A: a) See in the graph that the function f(x) has an asymptote parallel to y axis at x = -2. Thus it is...

Q: Food and clothing are shipped to survivors of a natural disaster. Each carton of food will feed 12 p...

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Q: Find and simplify the difference quotientfor the given function.f(x) = 3x + 7

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Q: Graph the solution set of the system: x + y ≥ 6, x ≤ 8, y ≥ 5.

A: First we draw the graph of the lines,

Q: The truncated conical container shown below is full of a beverage that weighs 0.45 oz / in°. The con...

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Q: Find the third Taylor polynomial for the function f(x) = 1/x3, centered at c=1.

A: The function f(x) = 1/x3, we have to find the third degree Taylor polynomial for the given function ...

Q: In Exercises 1-6, use the Product Rule to calculate the derivative.

A: We need to find the derivative of the given function using the product rule.

Q: Finding one antiderivative Find r(t) such that r'(t) = ⟨10, sin t, t⟩ and r(0) = j.

A: Given:  

Q: DIRECTIONS. Evaluate each piecewise function for the given x-values. When decimal a are required, ro...

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Q: Tree growth Let b represent the base diameter of a conifer tree and let h represent the height of th...

A: Tree growth Let b represent the base diameter of a conifer tree and let h represent the height of th...

Q: Solve the following IVP subject to the initial condition N(0) =1, which says that initially at time ...

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Q: 12) Sketch the graph of the piecewise function below. 1/2|x-5| -x-8)2+6 f(x) = I>5 10 5n 10 -10 10

A: Consider the given function,

Q: The qustion is attached

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Q: Production functions Economists model the output of manufacturing systems using production functions...

A: We have We need to maximize the production function P subject to the given constraint.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.