10 a) Find the simplified form of the difference quotient for the function f(x) = b) Complete the following table.

Q: Let ux² then dx = du 2x and so 2 2 du S ƒ ze²³d² = ƒ re² de S xe dr xe" 2x 0 0 1 S = (²-1) e" du

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Q: 1. Determine the derivative of the following exponential functions 2x² a. f(x)= e b. f(x)=…

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Q: Consider the following. x = ln(t), y = 2t, z = t², (0, 2, 1)

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Q: Can u solve all? Its easy for u

A: We need to solve algebra.

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Q: f(x) = 8+x 8 - x on [4, 6].

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Q: Which of the following are separable differential equations? A. y = 2x - 3y +1 B.(4)=x+y □ C. 2xydx…

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Q: Find two unit vectors that make an angle of 60° with  v = 3i + 4j.

A: We are required to find: Two unit vectors that make an angle of 60° with  v = 3i + 4j.

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A: Estimated value formula m(b-a)&lt;=int_a^b f(x) dx&lt;= M(b-a)

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Q: 2. Given z(x, y) = x².3√/y+ex-y + 5 find oxoy²

A: Question 2)  Given function  z( x , y ) = x2.y3 + e4x-y + 5x2∂3z∂x∂y2 = ?

Q: This was for question D I did not need A,B,C

A: We need to compute the average rate of change of the future value of the account between year 9 and…

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Q: T -2 4 f(x) g(r)|h(r) 5 4 9 2 -3

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Q: What is 7.8% of 220

A: X % of Y = Y × x100

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A: The Decibel level of a sound is given by the equation  D = 10log10( II0  )  I is the sound intensity…

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A: The inequality is given and we need to solve it.

Q: If the slope of the tangent line to the graph of www y=f(x) at x=a is m (a) = 2a-3, and f(1)=5, then…

A: We have,   m(a) = 2a -3     f(1) = 5

Q: Q1 In a college meal plan, you pay a membership fee; then all your meals are at a fixed price. At a…

A: Given that the cost of 30 meals= 440. And cost of 60 meals=430.

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A: This is question of calculus. Here cone is given  And water in cone given  We have to find work for…

Q: f(1) = 1 ƒ'(1) = 2 ƒ'(3) = -5 (a) Chain Rule: h(x) = f(g(x)) ⇒ (b) Product Rule: h(x) = f(x) · g(x)…

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Q: Use the graph and the function to find the following. a) Find lim k(x). x--1 b) Find k(-1). c) Is k…

A: limit existance conditionif LHS limit = RHS limit continuity existance conditionif LHS limit = RHS…

Q: Simplify the following numbers and write them in standard form: a. (4√-16+2 (150) -2(-4+3 (205)

A: Since you have asked multiple questions in a single request we would be answering only the first…

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Q: Complete the table. f(x) = X f(x) ( - 11/1 x + 0 -3 -1 0 1 3

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Q: 20. Which statement represents the relationship between P = {9, 11, 13, 15, 17) and Q = (2, 4, 6, 8,…

A: As per guidelines we are supposed to answer first question only please repost the Other question.

Q: 58) Given: f(x) = ax³ + bx² + cx+d, f(1) = 5, ƒ"(-1)=-2, f"(x)=12 When x=0 the slope of the tangent…

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Q: Find a Cartesian equation relating and y corresponding to the parametric equations Write your answer…

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Q: y 10 7 -10 -5 5 10 (a) Identify the function. Orational O exponential O radical O quadratic O…

A: A graph of the function is given. We have to identify the type of the function and find its…

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A: A sphere is given having a hole and we need to find out the volume of the resulted solid.

Q: 7. Sketch the region and then use the disk/washer method to set up an integral to find the volume of…

A: To sketch the region and then by using the disk/washer method to set up an integral  to find the…

Q: Suppose you deposit $10,000 into a savings account that earns 3.5% interest compounded quarterly.…

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Q: A person has $40,000 to invest. As the person's financial consultant, you recommend that the money…

A: Let amount invested in Treasury bills is x  Let amount invested in treasury bonds is y  Let amount…

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the vector parametrization r(t) of the line L that passes through the points (4, 1, 2) and (9,…

A: The line L passes through points 4,1,2 and 9,3,7

Q: The demand function for device model PWX641 is given by p(z) = 510-0.792², where p is the unit price…

A: Given demand function  p( x ) = 510 - 0.79x2 Given data  dpdt = 6 dollarweekp = $194

Q: State the domain, vertical asymptote, and end behavior of the function. g(x) = ln (3x +21) + 1.1…

A: gx=ln3x+21+1.1

Q: A retailer has been selling 1,000 computers a week at $750 each. The marketing department predicts…

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Q: 12. Sketch the region bounded by y = √4-x2 and y = -√4-x² for-2 ≤ x ≤ 2. Give a definite integral…

A: We have to sketch the region bounded by…

Q: Find the distance, d, between the point S(5,3,8) and the plane 4x + 1y + 12 = 4 The distance, d, is

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Q: 6 5 4 J 2 *+ -2 3 -4 s -6 V 1 2 3 4 6 The graph above shows the base of an object. Compute the exact…

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Q: A separable differential equation is a first-order differential equation that can be algebraically…

A: Separable differential equation = ?

Q: [b] Take a limit of the standard slope formula, as shown below, to find the instantaneous rate of…

A: The given function is gx=x2+2x. To find the derivative at x=2 and the equation of tangent line at…

Q: Assignment: Consider the region bounded by the parabolas: 2 2 y = x² + 4x + 3 and y = x + 2x + 3.…

A: We need to find volume.

Q: 8. For f(x)=√√x-1 Use a table to find the Taylor Polynomial P₂(x) with center (c = 2). A. P₂(x) = B.…

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Q: 1. Determine the derivative with respect to 'x' of: a) f(x) = 4cos(x³) - sinx b) f(x)=x² cos² (5x)…

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