Consider the following equations. y = x² - 4 y = -x + 4 X = 0 x = 2 Sketch and shade the region bounded by the graphs of the functions. Find the area of the region.

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Q: Evaluate the integral directly by integration with respect to x and y 2 x=(y/3) + 1 3x-y S S ³x5%…

A: To evaluate the following integral.  ∫02∫x=y3x=y3+1 3x-y3 dx dy

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Q: (c) 1 So ²2-²32 3z ² dz.

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A: In this question, we want to find the relative maximum and minimum point of the given function f(x).

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Q: Jump to level 1 Order the functions by growth rate. a(x) = ln(x) + ln(x) c(x) = 55x +55x³ Select…

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Q: Find the absolute minimum and absolute maximum values of f on the given interval. Hint: You will…

A: Given function:-   ft=4cost+2sin2t

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Q: Consider the following cost function: C=0.3q³-3q² +70q+150. When output is 18 units, average cost is…

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Q: 3. Given two vectors x = [0, 1, 1] and y= [-3, 0, 0], they are orthogonal. use your knowledge of…

A: Given vectors:- x→=0,1,1 and y→=-3,0,0

Q: An initial sample of 929 g of a radioactive substance decays according to the function -0.032t A(t)…

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Q: Suppose an oil spill covers a circular region. The radius in feet, r, increases according to the…

A: Solution: . as we can see from the graph, point (30,20) is on the graph  which means after 30…

Q: 2 Find the volume of the solid under z = 6 + x² + y² over the first quadrant of x² + y² ≤ 36 Give…

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Q: Find the derivative of the function. F(0) = arcs arcsin✓sin(150)) F'(0) = =

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Q: sketch the curve, Find :  a) domain  b) intercepts (x and y)  c) symmetry

A: As per rule I need to solve only first 3 subparts.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4x³ - 6x² -…

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Q: Find the sum of the infinite geometric series 54+18 +6+2+ 213 2/9 +=+

A: The geometric series is;  54+18+6+2+2/3+2/9+...

Q: Write and solve the differential equation that models the verbal statement. (Use k for the constant…

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Q: 2. Sketch the graph of one rational function f(x) that satisfies the following: Zeroes at x = -4 and…

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Q: 7√x +7 .... 75√ √x (Simplify your answer. Use integers or fractions for any numbers in the…

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Q: 3. Find the eigenvalues and cigenspaces, as well as a basis for each eigenspace. (a) [88] 12 3 4 000…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 7xeox dx 6x [7xe 7…

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Q: The general form of an antiderivative of the function f(x)=csc(x)(5csc(x)−6cot(x)). is F(x)=

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Q: The weekly average costs, in dollars, of the We-Are-Drones is given by C x +53 + where 15 where a…

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Q: Write the expression as the logarithm of a single quantity. 1/2 ln(x) + 6 ln(y) − 3 ln(z)

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Q: Consider the function g(x)=√x + x² where g'(x) = ¹ + 2x 3x3 a. Determine g'(x) b. Determine the…

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Q: 23 25+2 Use the Comparison Theorem to determine whether S = dr is convergent or divergent.

A: Given integral:- ∫1∞x3x5+2dx

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Q: Marginal Revenue The demand function for a certain boat company's 34 ft Sundancer yacht is p=…

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Q: If h(x) = (1 + 4) 4) 7x I find lim h(x). X→∞

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Q: Fill in the missing values such that the final term is pulled out of the summation. 9 Σ i=1 = Ex 5-1…

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Q: An application of infinite geometric series: The government has decided to give a $1,000 tax rebate…

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