22. Use the graphs of f and g to sketch the graph of y = f(g(x)). . a. b. 8. -2 -4 2.

Q: The equation y = 1x - c2 2 defines a family of parabolas,one parabola for each value of c. On one…

A: Given, y=x-c2                     ... 1

Q: 2y X in the direction of (1, 2). Then, Suppose f(x, y) (a) ▼ f(x, y) = (b) ▼ ƒ(6, π) = = = sin (c)…

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Q: Evaluate f(x) ƒ(1) = f(x + 7) = f(x) + f(7) f(x + h) = = = x + 2 at the indicated values.

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Q: A chemical substance has a decay rate of 6.5% per day. The rate of change of an amount N of the…

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Q: Use the formula for nCr to evaluate the expression 12C5.

A: Given: the given expression n: 12C5. Formula Used: Crn = n!r!(n-r)!

Q: Find the equation of the plane that passes through the point (2, 1, -3) and is tangent to the…

A: Given,             x2+4y3+3z2=35 ⇒x2+4y3+3z2-35=0

Q: If bn = determine whether this sequence converges or 271 Convergent, give the limit of this…

A: we know that sequence is defined as the set of natural numbers N and X any set, then a function…

Q: Use the geometrical series formula to evaluate the following: k=2 3 5k

A: Given :- ∑k=2∞35k

Q: 7. 1 (x) == x¹- -2x³ + x-10. Find the hypercritical value(s) of f(x)=

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Q: Find the dependent, independent, derivatives, ordinary/partial, order, degree, linear or non-linear,…

A: We need to solve D.E. NOTE- As per Bartleby guidelines we can solve one question. Please upload…

Q: Filling a Conical Tank Water is poured into a containerin the shape of a right circular cone with…

A: Volume of the cone=13πr2hGiven:-Radius of the base of cone=4 feetheight of the cone=16 feet.and…

Q: Find the equation of the tangent line to the graph of f(x) = √x + 100 at the point (0, 10).

A: Given query is to find the equation of the tangent.

Q: Evaluate O 3π S sinx dx using the fundamental theorem of calculu 3π sinx dx = 0 3πt A-4 sinx dx =…

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Q: Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid…

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

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Q: True or False The slope of a nonvertical line is the averagerate of change of the linear function.

A: The average rate of change of the linear function is the slope of a nonvertical line.

Q: Evaluate the following integral, showing all calculus and algebra work. x5 ex³ dx

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Q: If f(x) = f'(x) = ƒ' (3) = 6x + 7 2x+6' find:

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Q: Sketch the region bounded by the curve x² - 2 = y and the line x = y + 2 and find the volume of the…

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Q: Find the directional derivative of f(x, y, z) = yz + x¹, at (3, 2, 1) in the direction of = + + k 7…

A: Given Find gradient

Q: Straight-line DepreciationBook value is the value of an asset that a company uses to create its…

A: Given that  Cost of a car = $31,500 Depreciation per year = $4500

Q: Find the area of the shaded region. f(x) = x² - 4x³ + 12x². g(x) = - 3x +90 The area is (Type an…

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Q: A triangle has vertices (0, 0, 0), (1, 1, 1), and (0, −8, 9). Find its area.

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Q: Find a unit vector in the direction in which f(x, y) = 8 cos(3x − 5y) ㅠ P(20), and find the rate of…

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Q: For the piecewise linear function f(x) graphed below, find the following. (If an answer does not…

A: Condition for existence of limit at x=a⇒limx→a-fx=⇒limx→a+fx=⇒limx→afx

Q: Find the directional derivative off at P in the direction of a. ƒ(x, y) = 5x²y³; P(2, 2); a = 3 i −…

A: This question can be solved using the concept of partial derivatives and vectors.

Q: Find the points on the surface 3x² + 5y² + 2z² = 1 at which the tangent plane is parallel to the…

A: This question can be solved using the concept of derivatives and planes.

Q: A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people…

A: Given: n = 13 r = 6 Formula Used: Number of ways  Crn = n!r!(n-r)!

Q: In 2004, an art collector paid $172,536,000 for a particular painting The same painting sold for…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Use the formula for nCr to evaluate the expression 7C7.

A: Given: The given expression: 7C7. Formula Used: Crn = n!r!(n-1)!

Q: Consider the function f(x) = 3x²-5x+2. Use it to find f(4), f(-1), and f(a + 3). f(4) = 30 O…

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Q: The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the…

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Q: If the rational function y = r(x) has the horizontal asymptote y = 8, then y → Need Help? Read It as…

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Q: Find the directional derivative of f(x, y, z) = z³ — x²y at the point (2, 4, -5) in the direction of…

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Q: A (B) f(x) is continuous at.x=3 D lim f (x) exists x-3 (C) f(3) exists Based on the graph above,…

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Q: Problem 2 There are two points on the graph of the equation y = 2x² +9x² - 60x+12 where the tangent…

A: Explained below

Q: A consumer purchased a computer after a 20​% price reduction. If x represents the​ computer's…

A: A consumer purchased a computer after a 20​% price reduction. If x represents the​ computer's…

Q: Solve by the method of your choice:Baskin-Robbins offers 31 different flavors of ice cream.One of…

A: Given: n = 31 r = 3 Formula Used: Crn = n!r!(n-r)!

Q: Find the derivative: f(x) = (4 sin x + 8 cos x)tan -1 X

A: To find the derivative of given function.

Q: Use the formula for nCr to evaluate the expression 10C6.

A: The expression is given by, C610 n=10r=6

Q: Find the equation of the plane through the point (3, -3,0) that is tangent to the surface xy² + 3ye²…

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Q: 3x² x² +2 Find the critical values of f(x)=·

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Q: Find dy/dx using partial derivatives  cos(x-y) = xe^y

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Q: I need to find the integral of [math]\frac{\cos(2x)}{\cos^3x}[/math]

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Q: D. Verify the general solution and obtain the particular solution using the given initial…

A: Differential equation

Q: Graph the functions ƒ(x) = sqrt(x )and g(x) = sqrt(1 - x) together with their (a) sum, (b) product,…

A: Given data:- The given functions is, fx=xgx=1-x

Q: determine (algebraically) whether the given function is even, odd, or neither.   f1x2 = x3 - 4x

A: A function f(x) is said to be odd if f(-x)=-f(x)and even if f(-x)=f(x)Given function is f(x)=x3-4x.

Q: A pizza can be ordered with three choices of size small,medium, or large, four choices of crust…

A: Given data:- There are three sizes, Small, Medium, and Large. They give four choices,  thin, thick,…

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

A: Solution

Q: 11 Find the derivative of f(x) = -15sinx + +3√√x-5. X

A: Given function:- fx=-15sinx+11x4+3x7-5