The graph of f is given in black. Which of the blue dotted graph is the graph of f'(x)? (B) f(x) INN (A) 0 B O A f(x) D) ค f(x) f(x)

Q: Approximate the area between the x-axis and the graph of f(x) = x² + 3 over the interval [0, 2] by…

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Q: - Find the derivative of Ř(t) = (sin² (3t + 1), ln(t² − 1), ²+1

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Q: Y = -3° +10 the graph can be obtained from =3x,

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Q: Find the area of triangle with vertices Q C5, 1, 32, R (2,4,6), SC1,-1,9).

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Q: The graph of a function is shown below. Over what interval(s) of x is the function decreasing? V

A: Given query is is to find the interval where function is decreasing.

Q: Use the Ratio Test to determine all the values of t that will make the following series converge.…

A: Given series:- ∑k-0∞6·t2k-19k

Q: The graph of f(x) = 4(x - 1)² - 4 is a parabola that opens upward ✔value of f. Need Help? Read It ✓…

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Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. BD…

A: Given matrix:- B=374-9012 D=3-41284107-10

Q: When using the - definition of limit to prove lim f(x) = L, you must show that for every x→a € > 0,…

A: We need to choose correct option.

Q: Find the general solution of the given differential equation 2y" + 3y + y = t² + 3cost

A: Given:2y''+3y'+y=t2+3costhere y'=dydt and y''=d2ydt2

Q: Exercise 6 Apply the quotient rule to find a derivative Assume that f (x) and g(x) are both…

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Q: Suppose f(x, y) = √/tan(x) + y and u is the unit vector in the direction of (0,—3). The (a) Vƒ(x, y)…

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Q: 11. Find the equation of the tangent plane of f (x, y) = x² + y² + 4y at the point (0, 1,5).

A: Given- fx, y = x2 + y2 + 4y To find- The equation of the tangent plane of the given surface at the…

Q: Find the Linearization L(x) of the function at a. b) f(x)=e^x+1 , a=0.

A: To find the Linearization Lx of the following function at 'a'.fx=ex+1, a=0

Q: after 5 years, you have $14,472.74 in an account that was accumulating interest at 5.5% that was…

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Q: 2. Solve the logarithmic equation a) In 10-In(-x) = ln(3-x) b) log₂ (x + 1) = 1 + log₂ (x - 1)

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Q: 2. In(2x² + y); x = √i, y = 12/3

A: Need to find out the derivative.

Q: Find the linear approximation of the function f(x)= = √x at a= 1, and use the linear approximation…

A: NOTE: Refresh your page if you can't see any equations. . the given point is x=1 so the point on…

Q: 2. Use a calculator to evaluate the following expressions. Round your answer to 3 decimal places. a)…

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Q: 2:27 A particle moves along the x-axis so that its > velocity at time 0 < t < 18 is given by v(t),…

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Q: (b) Find the 243rd derivative of f(x) = sin(3x) 3

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Q: Given the graph of f(x) above, determine the real zeros and state the multiplicity of any repeated…

A: here the question of graph and function zeros  here we have to find the zero of the function  it…

Q: A strain of Staphylococcus aureus doubles every 8 hours. A colony of 20000 was cultured in a petri…

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Q: 8.) What is the 20th derivative of y=sin(2x)?

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Q: Question 8 Solve the given differential equation (where the function is subject to the given…

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Q: f(x) x² - 2x - 8 { *2-22-3 x-4 x = 4 x‡4

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Q: Let-202²-11zy + 3y²-672-36y - 39 = 0. dy Use partial derivatives to calculate at the point (-3,-2).…

A: Derivate the given equation with respect to x and then put the given point.

Q: Exercise 7 y v = (3.x-2) 6: The Chain Rule (a) Decompose the function in the form y=f(u) and u= g(x)…

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Q: 5) Determine the time it takes an amount of money to triple if compounded continuously

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Q: a) Determine the parent function and sketch its graph. -10 -8 -6 b) Find the x-intercept of f(x). c)…

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Q: Find the domain of the following vector-valued functions. Š(t) = (tant, √4-t², =) 2+t

A: domain of tan t is 'all real numbers';   The domain of tan t is all real numbers except for…

Q: if cos A=-0.12 then what is the value of sin(90-A)? the exact value of cot-7pi/6 and sin4pi/3?

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Q: Solution set?

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Q: wrong answer

A: The given differential equation is; x2y"+5xy'+13y=0, y(1)=4, y'(1)=1

Q: Suppose lim n ---> infinity is known to exist, lim n---> bn= 5, lim n---> bn an ^2  = 245 find lim…

A: Given:- limn→∞bn=5  limn→∞bnan2=245

Q: Use the graph to locate the absolute extrema (if they exist) of the function on the 4x² (x − 3)2 on…

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Q: dy Find for the equation ex+y² = x. dx 3-x [A] [B] ³ xy 1-x 2xy [C] 1-2x xy [D] 2-x 2xy+e [E] 1-x xy

A: Concept: The formulas used: ddxxn=nxn-1ddxln(x)=1xln(ab)=bln(a)

Q: Using the same graph of f(x), what is lim f(x)? X→ 4 AN 2 3 -1- -2+ 4 1 doesn't exist

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Q: 7. Use the chain rule to solve each problem: θω (a) Find for w= x² + y² + z², where x = st, y მs s =…

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Q: Find the vector needed to translate from point (4,1) to point (8,3). Translate (-1,2) by the same…

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Q: 1. Simplify the following expressions without the aid of a calculator. a) log, (81) b) log2 (2525) -…

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Q: 2x^2-4x+1/4x^2+1 determine the limit of n----> infinity an

A: Given query is to find the limit of the expression.

Q: Give two points, as ordered pairs, that are not in the domain of this function.

A: Domain: A set of values for which the function is defined is called Domain of the function. So the…

Q: Find ged(1326, 819) using the Euclidean algorithm.

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Q: Part C. Find the √√x-5 8). x-15 1 9). +3+ + √x + 10

A: Topic = Function

Q: 5. Use Lagrange multipliers to find the extreme values of the f (x, y) = x² + 2y² subject to the…

A: By using Lagrange multipliers to find the extreme values of the function fx, y=x2+2y2 subject to the…

Q: Let f be the function with derivative given by f'(x) = sin x + cos (2x) - for 0≤x≤. On which of the…

A: NOTE: Refresh your page if you can't see any equations. . the derivative of the function is given by…

Q: Determine the equation L(t)=tV+p for the line between the points (7,5) and (6,9).

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Q: 2. Determine f'(x). (a) f(x) = √26

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Q: If y satisfies dy dx 2xex², = then (a) y(In e) = (b) y(In e²) = y (0) = 1,

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