Given that QUESTION 7 f(x)=√²+1 (a) Determine the equation of the tangent at z=1. (b) Determine the equation of the normal to the tangent at = 1.

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Q: Find the accumulated present value of a 7-year $300,000 continuous income stream that has been…

A: Given:  Rate of interest: 3.6%  Time: 7 year S(t) : $300000 ( continuous income stream) To find: The…

Q: The function s(t) represents the position of an object at time t moving along a line. Suppose s(3) =…

A: Given that s(3)=150, s(5)=190, where s(t) represent the position of an object at time t.

Q: Please show every step! Question: A 17 ft ladder is leaning against a wall. If the bottom of the…

A: given  ladder length is 17 ft let wall length is x ft let distance between wall and ladder is y ft…

Q: Suppose a circuit contains an electromotive force (a battery) that produces a voltage of E(t) volts…

A: Question - Suppose a circuit contains an electromotive force (a battery) that produces a voltage of…

Q: The function h(x) = (x+7)³ can be expressed in the form f(g(x)) where f(x) = x³, and g(x) is defined…

A: A detailed solution is given below.

Q: Estimate the slope of the tangent line to the curve y=1/(1-x) at the point (2,-1)

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Q: zotolamyes Isinashon Graph f(x) == Describe the transformations using the parent function f(x) =…

A: The given function fx=1x. We have to sketch the graph of the function.

Q: The graph shows how immigration (in thousands) to a large country has varied over the past century.…

A: We want to find the average rate of change in immigration from 1910 to 1960 Average rate of change =…

Q: 10) A rocket is fired and its height is modeled by h(x): = + x, where x is the horizontal distance…

A: Given model of height h( x ) = -289000x2 + x where x = horizontal distance ( in feet ) h( x ) =…

Q: [1 −4 2 8 −1 −4 -1 2 -8 -6 -3| -4 7 -57 [1 -4 7 2 8 -1 0 0 -20 -5 -4 7

A: Given:- 1-47-528-1-42-8-6-3~1-47-528-1-400-207

Q: The graph below is the function y = f(x) 2 ƒ(4) = lim_ƒ(x) = x→2 lim_ƒ(x) = x→3- lim f(x)= x→3+…

A: A detailed solution is given below.

Q: If we changed the 4 to a 3 in the equation of f(x), what would happen to the graph of the…

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Q: Solve the solution for the differential equation of x²y'+xy+2 = 0 Also indicate what its type of…

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Q: Solve the solution for differential equation of (xy+y²)y' = y² Also indicate what its type of…

A: Given differential equation (xy+y²)y' = y² y' = y2( xy + y2 )

Q: 12cos(-t)-cos t

A:

Q: Refer to the following plot of some level curves of f(x, y) = c for c = -2, 0, 2, 4, and 6. (Each…

A: Solution: Given That: By consider the plot and analyze that contours c of the function f are…

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Q: y x=f(y) x=g(y) X Consider the blue horizontal line shown above (click on graph for better view)…

A: Solution : 1. G , 2.A ,3.D, 4.E , 5.H , 6.F, 7.C ,8.B

Q: Evaluate the limit: 3x lim x →0 √2x+64-8

A: On solving this we will get

Q: T(i) = (1,2), T(j) = (3,1), T(k) = (5,-2). Find T(2,1,3) (1,20) (5,-2) (20,-1) (3,-2)

A: T(i)=(1,2), T(j)=(3,1), T(k)=(5,-2).

Q: Compute the area of the parallelogram with vertices A(2 1), B(5,0), -2) and D(4, -1).

A: We are asked to find the area of the parallelogram

Q: In this case, h = [1-8 9 6 9 -6 2 -6 -1 0 4 [1 -8 0 9 9 6 -6 2 26 -37 -25 a. State the elementary…

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Q: Solve the given initial-value problem. y(x) = y"" + 14y" + 49y' = 0, y(0) = 0, y'(0) = 1, y''(0) =…

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Q: K Use the Theorem on Limits of Rational Functions to find each limit. If necessary, state that the…

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Q: in solving the problem. Directions: Find the dy/dx by implicit differentiation. X^2 + y^2 = 100 X^3…

A: We can solve the given problem by using the implicit differentiation

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Q: i) ii) The following two functions are given: y = x and y = x¹. Sketch the two curves on the same…

A: Topic = Application of integration

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Q: Decide whether the Intermediate Value Theorem applies to the given function on the indicated…

A: The given function is: fx=-x2+x+24 on 0, 6; fc=4 To determine whether the intermediate value theorem…

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A: Let p denote unit price and x be the number of units As we know slope of linear function passes…

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Q: Find the functions and their domains. (Enter the domains in interval notation.) f(x) = 5x + 6, g(x)…

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Q: Write an equation whose graph could be the surface shown. 1 Z= X ZA

A: see below the answer and explanation

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Q: (d) Find the work done by the force in moving an object from point (-2,4) to point (1, 1) along the…

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Q: 2 -3 -2 2 -4 4 10 2

A: Number of columns in first matrix are 3 and number of rows in second matrix is 1. So, matrix…

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A: When driving down a mountain road, you notice warning signs indicating that it is a "11% grade."…

Q: Four identical circles of radius r are inscribed (as shown) in a square of side x feet. (a) Express…

A: A detailed solution is given below.

Q: -32x² 500 4) A rocket's height in feet is modeled by the equation g(x)= = horizontal distance the…

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Q: A person standing at the edge of a cliff throws a rock upward from a height of 240 ft above ground…

A: A person standing at the edge of a cliff throws a rock upward from a height of 240 ft above ground…

Q: Use Cramer's Rule to solve the following system for y only x + 2y + 2z = 1 3y + z = -1 x + 15y - 5z…

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Q: A farmer wants to build a rectangular pen and then divide it with two interior fences. The total…

A: Let width = yand length = x Area( A ) = 936 m2

Q: 4. Find the center and vertices of the ellipse. 2 4x² +9y²-24x + 72y + 144 A) Cent = 0

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Q: Point      Line (-8, 7)      x + y = 13 (a) Write the slope-intercept form of the equation of the…

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Q: find the parameter of 2^x-2

A: Given find the parameter of 2x - 2

Q: he position function of a moving particle is given by p(t) = 1² - 8t + 11 feet at t seconds. Find…

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Q: For y = f(x)=x² - 6x + 3, find dy and Ay, given x=3 and Ax=0.2.

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Q: -16 f(x) = 3x² + 4 -12 -8 f(x) -4 -8 0 f'(x) 4 Predict #3 8 If we changed the 3 to a −3 in the…

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