If f(x) < g(x) for all x # c then limit of f(x) at c is less than the limit of g(x) at c.

Q: Find the area under the graph of f over the interval [-2,4]. x²+2 x≤2 3x X>2 f(x) =

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: Sketch the region of integration and convert the polar sum of integrals to a Cartesian integral or…

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Q: SSRe where R = {(x,y)| -1 ≤ x ≤ 0, 0 ≤ y ≤ 3} Evaluate the double integral 3x+ydA

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Q: a) P(x) b) R(150), C(150), and P(150) c) R'(x), C'(x), and P'(x)

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Use the method for solving Bernoulli equations to solve the following differential equation. dr…

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Q: Use the Chain Rule to find the indicated partial derivatives. N = P + q p = u + vw, " p+r q = v +…

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Q: Evaluate the integral by changing to spherical coordinates √36x²√72-x² - y² 1 [V 36 + y² xy dz dy dx

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Q: 5. Find the area of the region enclosed by the graphs of y = √x+1 and y = x − 2 and vertical lines =…

A: We have

Q: Write the expression in radical notation. z^(-(4)/(5))

A: The mathematical form to write  as  is called radical form.

Q: Evaluate the integral с by finding potential function. +2) ax + (x² + 3xy² + 2y)ay along any path…

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Q: What is the result of the following limit? O-1 2 1 H|2 1 Does not exist lim x→0 2 cos (2x + π) x + 2…

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Q: A piece of wire of length 51 is cut, and the resulting two pieces are formed to make a circle and a…

A: The solution is shown in step-2

Q: y = x tan x² + x 1

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Q: An open-top cylindrical container is to have a volume 343 cm³. What dimensions (radius and height)…

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Q: Suppose a certain economy's consumption function is as follows, where C(x) and x are measured in…

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Q: 24. Evaluate the iterated integral. 3_4x a) ff y³e¹* dxdy b) In sif, thy dydx xy

A: Definite Integral

Q: Find all real numbers in the interval [0, 2л) that satisfy the equation. 2 sin²x = sin x 37 2 27 3…

A: 19. Given that,  here need to find the required solutions of the equationwhen

Q: If f(x) = cos(In(x5)), find f'(1). f'(1) =

A: Explaination of the answer is as follows

Q: Decide whether or not the equation has a circle as its graph. If it does, give the center and the…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: d) Find x and present answer to 2d.p. 1₁ X + 6 3 9 w pos 3 = X 9

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Q: A particular commodity has a price-supply equation given by p= 369(1.033)*, where x is the numbers…

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Q: Suppose f(x) = = 17 - X (a) The rectangles in the graph on the left illustrate a left endpoint…

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Q: Evaluate. (Be sure to check by differentiating!) [(8+xº) ³x7 dx

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Q: The price of parrafin wax to make candles is 56.5VND/cm³. Calculate the cost of wax to make a…

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Q: Consider the following. lim (x sin(10)) x →∞ (a) Describe the type of indeterminate form (if any)…

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Q: 1+ 1 4 1 16 + 1 64 +...

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Q: Find the first and second derivatives of the function. f(u) = √10 - 5u f'(u) = -5 f"(u) = -5 du dx X

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. a=1/₁6 = ² C…

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Q: Evaluate the integral *(4e* + 8 cos z) dr.

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Q: Suppose that over a certain region of space the electrical potential V is given by the following…

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Q: 11. Find and classify all the critical points of f(x, y) = y³ + 3x²y - 6x² - 6y² + 2 g(x, y) = x³ -…

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Q: e. lim x* sin ¹ 137) 2x²+3x x-0

A: In this question, we want to find the limit of the given expression.

Q: Find the sum of the complex numbers in the complex plane. (6) + (-1 + 5)

A: The given sum of complex numbers .We have to find the sum.

Q: Find the center of mass of a lamina as pictured below, with inner radius 3 and outer radius 7, with…

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Q: Find the consumers' surplus at a price level of $5 for the price-supply equation p = D(x) = .02x +…

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Q: Find the limit. lim (x,y) → (3,-2) (x²y + 4xy² + 5)

A: The given limit is .We have to find the given limit.

Q: Let ƒ (2) = {22-6 f 6-x-x² if x ≤ 1 if x > 1 2x Calculate the following limits. Enter "DNE" if the…

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Q: Use the Chain Rule to find dw/dt. dw dt www xey/z, x = t³, y = 2-t, w = xey/z √(³) (31. e 3t Need…

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Q: Find the exact value for the expression under the given conditions. 3 sin (a +ß), cosa = for a in…

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Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

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Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the…

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Q: Find the area between the curve and the x-axis over the indicated interval. y = 49-x²; [-7,7]

A: Note:-Since you asked multiple question, according to our policy we can solve only first Question…

Q: Suppose that the polynomial function fis defined as follows. f(x)=(x-11) (x-7)(x+5)²(x+12)³ List…

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Q: What is the maximum height of the long jumper? Round to 2  decimal places.   The maximum height…

A: From Part a.) we found that the jumper reaches maximum height when the distance is 3.79mts

Q: Match the series with the graph of its sequence of partial sums. 27-1) Sn Sn Sn n .... 8 .... 8 ....…

A: The given series is:

Q: Use the chain rule to find the derivative of f(x) = 5(7x5 + 8x) 1¹8 You do not need to expand out…

A: here the given function is

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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