different

Q: Let f(x) = (sin x)³ + (cos x)³ 3 Enter the total number of critical numbers on the interval [0, 27].

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Q: Use the linearization of the function ƒ(x) = x²/³ at x = 8 to approximate 7.72/3 Enter your…

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Q: Equations Linear in Two Variables 2. (2x+3y-1)dx + (2x + 3y + 2)dy = 0 x(3) = 1

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Q: 3. Concave up: 4. Concave down: Part 1: Intervals Find the open interval(s) on which f is increasing…

A: Graph of the function is given We have to find the open intervals which the function is Increasing,…

Q: n=1 (-1) + 1n 30 X ≤S≤ X

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Q: Find the (linear) equation of the tangent plane to the surface z = x sin(x + y) at the point (5,…

A: z= xSin(x+y) at point (5,-5,0)

Q: Find equations for the lines tangent and normal to the cissoid of Diocles y² (10-x) = x³ at (5,5).…

A: To find equation of tangent & normal.

Q: Use implicit differentiation to find x+tan(xy) = -5 dy dx

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Q: The inverse of the matrix 1 6 5 1 Use this fact to solve the following system. x = y + z = 3 6x - 7y…

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Q: (a) Suppose y = f(x) is an unknown function but that you know that f(4) = 11 and f'(4) = -0.18.…

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Q: Calculate the integral of ƒ(x, y, z) = e² over the tetrahedron W in the figure (the region in the…

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Q: (b) ln 3 1.™D C 0 (In 3)²-y² [x² + y² dx dy

A: The given integral is: ∫0ln 3∫0ln 32-y2 ex2+y2 dx dy

Q: 3. Find the volume of the solid formed by revolving the region bounded by the graphs of f(x) = √36x²…

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Q: Equations Linear in Two Variables 1. (2x + 3y - 5)dx + (3x - y - 2)dy = 0

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Q: Eliminate the parameter to find a Cartesian equation of the curve, sketch the curve and indicate…

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Q: Setup the integral to calculate the area between the following curves. y y = 5√x. The integral to…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: In Exercises 1-18, suppose that x and y are related by the given dy equation and use implicit…

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Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

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Q: Given the graph of f (x) above, find the following limits. (a) (b) lim f(1) = 6 2-3 -4 To enter ∞o…

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Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dy dt dt x +…

A: As we know from the Chain rule: dydx=dydt·dtdx And use the Power law: ddxxn=nxn-1   Given:…

Q: A company manufacturers and sells x electric drills per month. The monthly cost and revenue…

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Q: 7 Find the derivative of f (w) = w8 + 10w. Enclose numerators and denominators in parentheses. For…

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Q: 8. Given x+1 and g(x) = 1. find state its domain. (f+g)(x) and

A: Add f(x) and g(x) to find (f+g)(x)

Q: Differentiate y=(x^2+5) cubed root of(x^2+2) y'=

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Q: Let ƒ(x)=√√(x - 2)² Find the absolute minimum value and the absolute maximum value off (x) on the…

A: Find the absolute minimum and maximum value  f(x)= (x-2)23 on the interval [1,10]

Q: lim 5 216 H-X 10 x12+36 x16 ||| Number Show your work and explain, in your own words, how

A: Let's find limit.

Q: Question 4: a) Find the point P on the curve y = √ that satisfies 2 cos(2x) = 1 for 0 ≤ x ≤ b) Find…

A: a To find the point P on the curve y=xex that satisfies 2 cos2x=1 for 0≤x≤π4.b To find dydx of…

Q: 5.5 Practice Wkst Name Find the values of sin 20, cos 20, and tan 20 for the given interval and…

A: To find the given trigonometric functions.

Q: (1 point) Consider the function f(x) = X 2x² +5 List the x values of the inflection points of f. If…

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Q: Find all critical points of the following function. f(x,y) = - 4xy-x²-y4 What are the critical…

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Q: Use implicit 1) x² + y2 = 9 differentiation to find dy/dx and d²y/dx².

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Q: Find the area of the surface obtained by rotating the curve about the x-axis. 1 x=—=— (y²+2) ³/², X=…

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Q: The Saddle Mine costs $16,000/day to operate, and it yields 50 oz of gold and 3000 oz of silver each…

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Q: The following function is a company's price function, where p is the price (in dollars) at which…

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Q: Find the equation of the tangent line to the graph of the function f(x) at the point (0,-2) x+9 I-4…

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Q: Consider the following. y = In(x²) Find y'. y': 2 ט| * m = X Find the slope m of the tangent line to…

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Q: Consider the integral 0 /2 y cos(xy) cos y √sin(xy) + 1 dy dx.

A: Fubibis Theorem:- If f(x,y) is continuous on the region form by a≤x≤b, c≤y≤d then…

Q: Example 11: Evaluate lim x→1+ (六) In x

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Q: n=1 9 (3n − 1) (3n+2)

A: To find: ∑n=1∞93n-13n+2 ∑n=1∞9(3n-1)3n+2=∑n=1∞ 33n-1- 33n+2

Q: 8. q = D(x)= V300-x; x = 250

A: Given data:- (8): q=Dx=300-x; x=250

Q: The annual demand q for bottles of wine from a vineyard when the bottles are priced at p dollars…

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Q: The graph of f(x) = 3 - 4 over the interval [0,2] is sketched below. Do you S (3-4) dx to be expect…

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Q: Solve the differential equation: A bowl is removed from a pottery kiln at a temperature olf 200…

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Q: k=1 √k +1 k2 x+ 1 2 k

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Q: A box with no top is made from a rectangle with dimensions a = 15 inches by b= 11 inches by cutting…

A: As per our guidelines we are supposed to answer only three subparts of the question. So the first…

Q: Identify the vertex by writing the equation in the standard form of a quadratic function. p(x)=…

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Q: Question 2 :s) Consider the point P(2,-1,-4) and the vectors a = and b= (a) Find the unit vector u…

A: Given:- a→=-2,-1,2 ,b→=-3,2,2

Q: Consider the function f(x) = 2x³ + 3x² 120x + 5, -5 ≤ x ≤ 5. This function has an absolute minimum…

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Q: Let f(x) = ln (x² - 4x + 5) Find the interval where f(x) is concave up and decreasing…

A: Explanation of the answer is as follows

Q: In each of the following problems, use both the method of variation of parame- ters and the method…

A: (a). The given differential equation is:y''-5y'+6y=2et