Suppose there is no known formula for g(x), but we know that g(2) = -1 and d (z) = V2 +5 for all x. Use a linear approximation to estimate g(2.1).

Q: Question 30 a) If the the average value of the function g(a) 6a-3a over the interval 0,is given as…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The differential equation d y 3x4 2- (3 In x)y = - dx2 is a Bernoulli's equation. Select one: O True…

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Q: 1. Prove using vectors that the points (4, 3, 0), (2, 0, 1), (4, 1, -1), and (2, 2, 2) are the…

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Q: Using Table 15.2, if the air temperature is 41°F, and the relative humidity is 20%, the weight of…

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Q: 3.x1 + 2x2 6.x1 + 2x2

A: Solution: The equation can be written in matrix form

Q: Use the method above to find the distance from the point P(-3, 1, 2) to the line through A(1, 1,0)…

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Q: 1. A stone is thrown upward from the top of a tower 50 meters high. Its velocity in an upward…

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Q: Show that the function given below is continuous at x = - 5. 3x +14x-5 x# -5 f(x) = x+5 - 16 X= - 5…

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Q: V10. What are the horizontal asymptotes of the function f(x)=Nx+9 O y = 5 only O y = -5 only O y= -5…

A: Given query is to find the horizontal asymptote.

Q: 2. Scos'xsinx dx cos’xsinxdx

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Q: Evaluate the integral. dx =, x>6 x - 36 dx x²x - 36

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Q: Suppose f(x, y) = x² + y? + x?y+ 2 and D = {(x, y) : |x| < 1, |y| < 1}.

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Q: Find the equation of the line parallel to 7x + 2y - 4 = 0 and passing through (-3, -55)

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Q: Use the given graph of f to find the following. (Enter your answers using interval notation.) 2- 2 4…

A: As per the instruction, we will be answering only the first three subparts. Given the graph of f:…

Q: Find recursive definitions and closed formulas for the arithmetic sequences below. Assume the first…

A: Given,2,5,8,11,14Here a0=2d=a1-a0d=5-2d=3we know that ,an=a0+(n-1)dan=2+(n-1)3an=2+3n-3an=3n-1

Q: In the recent "Asian War" in the South China Sea, the allied forces captured 6,400 of China's…

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Q: For the function p graphed in the accompanying figure, find lim p(x). y = 6(x) 4

A: As x tend to minus infinity, y approach to zero.

Q: For the function f(x) = find f'"(x). Then find f"(0) and f"(4). 3+ x f"(x) =| Select the correct…

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Q: The logistic equation d = P(a – bP), Р(а — a > 0, b > 0, is dt Select one: O None of them nonlinear…

A: We have to find if the equation is linear or separable or not.

Q: ny ways can 12 students be seated around a circular

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Q: s [5xt° 1 7 + 1-9х 13) dx e6x+5 + 4 sin(8x + - - - 5 2 Vx3

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Q: Question 3 The population size r(t) in the logistic equation dz ¤(1– 0.5z) dt is evaluated from the…

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Q: Consider the table below for lim (f(n)). f (n) 510.5 1022 510.9 5110 510.99 51100 510.999 511000…

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Q: If Greenwich Mean Time (GMT) is 6 A.M., what is the time at a place located 30° East longitude?

A: Solution:  The place located to the east would be ahead of GMT. Since each degree of longitude…

Q: Write the integral in terms of u and du. Then evaluate. (8х + 19)-2 dx, и 3D 8х + 19 (Use symbolic…

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Q: sketch a graph of the given function..show all work..check answer with technology f(x)=x2ex

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Q: For the function f(x) = - e, find f'"(x), f''(0), f'"(9), and f"(-8). ... f"(x) =(Type an exact…

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Q: (2) In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all…

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Q: Evaluate the in tegral (x+ 2y) dy

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Q: Find the vector component of v = (4, –1,7) along b = (3, 6, –6) and the vector component of v…

A: Given: v=4,-1,7 &amp; b=3,6,-6   As we know that the expression; The vector component of v along to…

Q: Find the limit. 6x + 2 lim e 6x+ 2 =(Type an exact answer in terms of e.)

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Q: Find the values of xER for which the function given below is both defined and continuous. f(x) = In…

A: f(x)=ln(x-9)Since f(x) is log functionIt is defined for all( x-9)&gt;0⇒x&gt;9

Q: 0.09) 121 At the end of t years, the future value of an investment of $39,500 in an account that…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Itan'x)dx

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Q: Find the largest open interval where 8. y = (x?_9)a° is increasing.

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

Q: Find the derivative of the following using General Rule. 7) y = vt3 8) f(x) = 6 + %D 5 1 9) y =- + 2…

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Q: 5 li sin lax tan 4x

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

Q: to double? Us Find the inverse of f(x) = log, (3a + 1) +2 The

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Q: Ana is five years older than Beth. In five years, the product of their ages is 1.5 times the product…

A: Given problem:- Ana is five years older than Beth. In five years, the product of their ages is 1.5…

Q: Consider the table below for lim (f(n)). f (n) 510.5 1022 510.9 5110 510.99 51100 510.999 511000…

A: The given table value, n f(n) 510.5 1022 510.9 5110 510.99 51100 510.999 511000

Q: A laboratory uses 600 white mice each year for experimental purposes. It costs $4 to feed a mouse…

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Q: Scse* xdr 4 2.

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Q: V. In each of the following, find the arc length of the curve traced out by the endpoint of the…

A: This is a problem related to arc length of the vector. Based on the general formula of arc length we…

Q: 5. Use 1 mile = 5280 feet to solve the problem below. * %3D Two people are looking up at a…

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Q: Question 2 Given the function of two variables f(x,y) = 8x2+6xy +4y2+5 a) Find the gradient vector…

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Q: Use the given graph of f to find the following. (Enter your answers using interval notation.) -2- 2…

A: Let's find.

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) Su d 125? V u? +4 + u²…

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Q: The function f(x) = 2x – 33x + 60x – 8 has two critical numbers. The smaller one is x = and the…

A: To find the critical point use the differentiation .

Q: D Determine where F(x) = ax' -3x -ax is concave up and concave down.

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Q: Choose all critical points of the function f whose gradient vector is vf(x,y) = (x/x-6-x, y-7) O (7,…

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