Find the absolute extremum values of f(x) = xe² xez-2x² 3 on the interval [0, 1]. (Note: ez ≈ 0.22)

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by 3 L(x,y) = x²…

A: We will use partial derivative to find x and y.

Q: What is the exact value of sin(255°) +sin(195°)?

A: find value of  sin(255) +sin(195) here this is trigonometric function  lets find value of this

Q: The equation y-(5)=2(x-(3)) in slope intercept form is y=?

A: The equation y-(5)=2(x-(3)) in slope intercept form is y=?

Q: The total cost of producing 1 unit of a product is given by C(x, y) = 80+ 0.3x² + 50y - xy dollars…

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Q: Help

A: We will solve the problem

Q: Given Cost and Price (demand) functions C(q) = 100q+40000 and p(q) = -2.8q +800, what profit can be…

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Q: You deposit $2000 in an account with 4% annual compound interest. Complete the following, assuming…

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Q: 3. How much work does it take to pump the water in a full tank to 2 ft above the tank in the…

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Q: III. Directions: Find the derivative of the given functions with respect to x using the limit…

A: i) f(x)=3x2+5x-7ii) fx=12x2-9x

Q: Find fx(x,y,z), fy(x,y,z), f₂(x,y,z), and fyx (x,y,z) for the following. 3 f(x,y,z) = 4x³ + 2xy -…

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Q: In Dollars Sales Monthly 9000 8000 7000 6000 5000 4000 3000 2000 1000 0 January Williams Custom…

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Q: 3.lim X→π In(cos2x) (π - x)²

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Q: Consider the general solution of a differential equation is y=C₁x-C₂ ln x² find C₁ and C₂ when…

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Q: 65

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Q: What is the exact value of sin(67.5°)cos(22.5°)?

A: Solution-

Q: Which of the following expressions gives the length of the curve defined by R(t) = tij +In tk…

A: We have to find arc length expression for the given vector function.

Q: Let f(x, y) = (x³ − x)(y² – 1). Find fry(x, y).

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Q: The tenth term of an arithmetic sequence is 23, and the second term is. Find the first term. X

A: Let's find first term of arithmetic sequence.  Tenth term = 73/2 Second term = 9/2

Q: 3. Find f'(a) if f(x)= e7x 2x + sin³ x

A: In this question, we want to differentiate the given function f(x) with respect to x.

Q: sin(7) 8 What is the exact value of Show your work for full credit.

A: Given sin7π8 sin7π8=sin-π8+2π=-sinπ8Find  sin ( π8 )  by using trig identity:cos 2 a = 1 − 2 sin2 a…

Q: The solution of the differential equation y' + 2xy = Ky when y(1)= K is

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Q: Find the derivative of the function. s = t In |t| ds dt 11

A: The objective is to find the derivative.

Q: Given that sin(0)= TT 3 and 2 <0<π what is the exact value of cos(20)?

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Q: Life expectancy in the United States has been rising since the nineteenth century. The table shows…

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Q: Find the derivative of each of the following functions. -6 8. f(x) = x +4x¹ 9. f(x) = 4x² +5x²³ 10.…

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Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: Explained below

Q: Find the center and the radius of the circle with the equation x2+12x+y2+6y−99=0   Enter the…

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Q: (Requires a short but nontrivial geometric Let ABC be a triangle argument.). with angles…

A: Using sine rule, length of other two side are evaluated.

Q: Determine whether each of the following functions is (a) continuous (b) differentiable. 12.…

A: We know that every polynomial function is continuous and differentiable. If a function is not…

Q: Given Cost and Price (demand) functions C(q) = 120q+40000 and p(q) = -2.2q +800, what is the…

A: Given functions cost c(q)=120q+40000                             price p(q)=-2.2q+800…

Q: 3. Find f'(z) and f"(x) if f(x) = lnx + 2 cos³ r.

A: topic- derivative of a function

Q: Let T : R² ⇒ R³ be a linear transformation such that T([ 1 ]) = = 8 [][]) ([ 13 0 What is T -1 and T…

A: Concept: A linear transformation is a feature from one functional area to some other that takes into…

Q: Derive implicitly—Implicit differentiation. Please show a detailed solution. Also, comprehensive and…

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Q: Evaluate the following indefinite integrals. 1. [(5x + 4)¹¹ dx 2. √x (x² + 2)¹7 dx

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Q: If the present value of an item is P and we experience an inflation rate of r for t years, what will…

A: solving the problem by finding the value of the future value.

Q: 3. 2x − y = 4 at point (0,−4)

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: The height of a ball launched in the air t seconds after it is launched is given by:…

Q: Find the area bounded by the curve x = y² + 2y and the line x = 3.

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Q: P 2. ( Use the disk or washer method to find the volume of the solid obtained by rotating the region…

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Q: limits

A: L'Hospital's rule apply only when there is 0/0 for ∞/∞ form.

Q: 6. y dy 1+√√y 11

A: SOLUTION-

Q: A car is slowing down at the rate 0.8 ft/sec². How far will the car move before it stops if its…

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Q: 2. A particle is moving along an s-axis, where s is in feet. During the first 5 seconds of motion,…

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Q: Give the Taylor series of the function f(x) == 1 3x²

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Q: Derive implicitly—Implicit differentiation. Please show a detailed solution. Also, comprehensive and…

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Q: quickly

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Q: In a certain country, the number of people who drive electric vehicles can be mod the function P(t)…

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Q: For the following function, find the equation of the tangent line at the point (1, 2). f(x)=√92¹-1…

A: Topic = Derivative

Q: Suppose that $2,500 is deposited into an account paying 6.2% interest compounded continuously.…

A: $2,500 is deposited into an account paying 6.2% interest compounded continuously.

Q: A particle moves in a straight line from the origin (at t= 0) with given initial velocity u, and…

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