Differentiate the function. h'(x) = h(x) = In(x + √x²-2)

Q: Consider the following series. Answer the following questions. Σ (x + 7) n 2n n=0 1. Find the values…

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Q: A company produces very unusual CD's for which the variable cost is $12 per CD and the fixed costs…

A: x is the number of CDs produced The variable cost is $12 per CD and the fixed costs are $40,000.…

Q: Find the derivative

A: Given :

Q: Suppose a product's revenue function is given by R(q) = -3q² +800q, where R(q) is in dollars and qis…

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Q: Differentiate the function. f(x) = x²(x + 8) f'(x) =

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Q: Using the equation? = x^3/x^2 − 4 ? You need to show the following work -determination of x and y…

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Q: A 13 foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 12…

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Q: ← Give integers p and q such that Nul A is a subspace of RP and Col A is a subspace of Rª. A = 1 245…

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Q: Suppose the point (4, -7) is on the graph of y = f(x). Find the corresponding point on the following…

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Q: Consider the function below. f(x) = -2x² + 8x + 9 (a) Find the critical numbers of f. (Enter your…

A: F(x) = -2x2+8x+9

Q: Determine the volume obtained by rotating the area enclosed by y = x(2 - x) and y 0 about the line x…

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Q: As you move through the first gate, you can see another gate not far in front of you. You approach…

A: Given: g(x) = x+3x2-9 The function does not exist when their denominator is zero. That is,…

Q: Let P(x) = F(x)G(x) and Q(x) 7 (a) Find P'(2). (b) Find Q'(7). y 15 + 3 2 1 - = N F(x) G(x) 3 where…

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Q: Hello! I am wondering how do you graph an equation like y=-4/x+7. I am confused on where these…

A: Please see the below picture for detailed solution.

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

A: As we know that, To expression to calculate the equation of the plane when it passes through the…

Q: For the equation of the hyperbola: 4x^2 - y^2 = 16. Find the center, vertices, slope of asymptote’s,…

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Q: Use the function below to answer the questions. f(x) = 5x¹/5 - x (a) Find f'(x) = 1 X = 4 x 1 (b)…

A: Given: The function is f(x)=5x15-x   (a). Find the derivative of the given function.…

Q: 6. y =√1+√8x-1 y 1$)+ (x-1) ¹4 y'= 1 + 7. y = [(x-1)(2x³ +1)]¹0 8. y = (4x²-1)³ (5x³ + 2)*

A: 5

Q: What is the volume of the solid generated when the region bounded by the graph of y = 4x, the…

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Q: Find the volume of the region bounded above by the paraboloid z and below by the square R-4≤x≤4…

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Q: If f(x) = (x + 2) sin (√x + 2), what is the average value of fon the closed interval [0, 6]? A B…

A: Given function: fx=x+2 sinx+2.We have to find the average value of f on the closed interval 0,6.

Q: Evaluate the double integral 10. Answer: 10ry dA, where D is the triangular region with vertices (0,…

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Q: Solve the separable differential equation dx 1 x² + 25 dt and find the particular solution…

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Q: Find an equation of the tangent line to the graph of the given function at the specified point. x²-1…

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Q: Use Question 1 and find the critical points for the function 2²³ 5 -4+1 3 1 + (+)² for x = [1,1].…

A: To find the critical points of the function F(x), we need to find the values of x where F'(x) = 0 or…

Q: Find the derivative of g(x) = x² ex

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Q: woman deposits $6000 at the end of each year for 10 years in an account paying 8% interest…

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Q: Two circles have the same center. The inner circle has radius r which is increasing at a rate of 3…

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Q: Find the limit. sin(8) lim 0 0 90 + tan(0)

A: It's in a 0/0 form, so we can apply L'hopital rule.

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 20 bushels of fruit. She…

A: According to the given instruction, the answer is as follows

Q: Determine the truth set of the predicate: P(x): x € R/ x² − 3x + 1 = 0: 2 Solution: This is {x € R |…

A: Given Predicate: P(x) : x∈R ∧ x2-3x+1=0 To find: The truth set of P(x)

Q: 2. (3-3Sin2x) dx seczx (cox-six) 1

A: We have to solve the given integration.

Q: Find the following limit. lim V

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Q: Evaluate the integral Answer: z³ +66 x² + 6x + 8 S dx.

A: To evaluate the integral

Q: ed to a temperature of 350 degrees Fahrenheit (°F) is taken out of an oven and placed in a (75°F)…

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Q: The sequence {an} is defined by a₁ = 2, and an+1 for n > 1. Assuming that {an} converges, find its…

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Q: Evaluate the given expression. Take ;] A ·|- 11 0-2 -2 2 4A + 0.5C and C= 1 [B] 1 -1

A: We have  A=0-2-2021C=1-111-1-1

Q: A rectangular box with an open top has a square bottom and a volume of 4 m³. Find the dimensions of…

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Q: Find the region generated by rotating the region bounded by xy=1, x=1, x=2 and y=0 around the y-axis

A: Given :- The region bounded by xy=1, x=1, x=2 and y=0 To find :- The region

Q: Find fo go h. f(x) X g(x) = x³, h(x) = x + 6

A: Given :

Q: Find the slope of the line tangent to the graph of f(x) = 1/(2x−3) at the point x = 1 and please…

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Q: D) f(x)= In x+2

A: Calculate differentiation for            f(x)=ln(x^3)/(x+2)

Q: (a) The curve with equation y2 = 5x4 - x2 is called a kampyle of Eudoxus. Find an equation of the…

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Q: A company operates two plants which manufacture the same item and whose total cost functions are…

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Q: about the y-axis. 1 1 =²-mx, 1 ≤ x ≤ 2, Find the surface area obtained by rotating the curve y =

A: The equation of curve is given by y = 14x2-12lnx, 1≤x≤2 To determine: The area obtained by rotating…

Q: Solve the equation y' - y=f(t), y(0) = 0 0 1 Be sure to supply all the steps that leads to your…

A: The solution is shown below-

Q: Find parametric equations of the line that contains the point P(2,-1,-2) and intersects the line L:…

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Q: 1 Find the area of the surface generated by revolving the curve x = 3 cos (3t), y = 2 + 1 sin (3t)…

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Q: Find the cross product a x b. a =j+ 6k, b = 2i -j + 5k Verify that it is orthogonal to both a and b.…

A: The given vectors are: a=j+6k, b=2i-j+5k