For Evaluate the following expression. Select the correct answer below: ={ f(x) = 4-x-x² 2x1 lim f(x) x-1 if x ≤ 1 if x > 1

Q: -10 -8 -6 -4 -2. 9 55 40 -6 16 V 4 O 8 10 TERMATH Write the standard equation for the hyperbola…

A: given graph of hyperbola

Q: Find the length of the spiraling polar curve 40 = 4e46 From 0 to 27. r = The length is

A: The given curve .The aim is to find the length of the curve from  to .

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: 1. Find the area bounded by x = y²; x = −2y² +3

A: To find the area bounded by

Q: If f(x)= g(x)/ x, and g(x)= x + cosx  (defined at interval 0, 2π) Find the slope of the tangent…

A: Given that the expression f(x)= g(x)/ x, and g(x)= x + cosx  (defined at interval 0, 2π) we have to…

Q: Find the general solution of the linear nonhomogeneous recurrence relation An = 3an-1 + 10an-2 +…

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Q: I had that first answer but it was wrong and I also had 2 sin theta cos theta but as my second…

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Q: Evaluate the iterated integral. LT (3) (3x - 2y) dy dx

A: we need to evaluate the given double integration.

Q: X 1+x (a) If Q is the point (x,x/(1+x)), use your calculator to find the slope of the secant line PQ…

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

Q: Question Find the area A of the region that is bounded between the curve f(x) = -2 sin () - 3 and…

A: To find the area A of the region that is bounded between the curve  over the interval .

Q: The cost C (in dollars) of building a house is related to the number k of carpenters used and the…

A: The objective of the question is to understand the effect of increasing the number of carpenters and…

Q: Problem 2. (Fundamental Theorem of Line Integrals) Suppose that the curve c connects the point (0,…

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Q: 3) Use the method of Lagrange multipliers to find the points on the curve x²y = 2 nearest the…

A: The given equation of curve is Let the point  on the curve which is closest to origin

Q: Suppose the equation 1 300 y = - 2.2 models the height of an arrow where is the horizontal distance…

A: Suppose the equation,  models the height of an arrow where x is the horizontal distance in feet…

Q: 5. Find two antiderivatives of f(x) = x0.8 - 3e²¹ + π cos(2x)

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Q: c. Which of the following expressions is equivalent to ln (10x²) for all values of x, including x <…

A: The given logarithm expression .The aim is to find the equivalent expression.

Q: The function f(x) = 6(1.2) is an exponential function. Af(x) Ax a. Determine the value of the ratio…

A: The given function .The aim is to find the value of the ratio  over the given intervals.

Q: Use logarithmic differentiation to find the derivative of y with respect to the independent…

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Q: Please answer the below quaestions: If f(x)= g(x)/ x,  and g(x)= x + sinx  ( interval 0, 2π) Find…

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Q: S 3 6x²4x³ dx 24

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Q: Given f(x) = -√√/16 - x is concave up on its domain, what is an estimate for f (4.9) using the local…

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Q: Evaluate the indefinite integral. [(arcsin x)² √1-x² -dx

A: We have given indefinite integral-First let's define that-

Q: Convert the rectangular coordinates of the point to polar coordinates (r,0) with r>0 and 0 ≤0<2.…

A: We need to convert rectangular corrdinates to polar coordinates.

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

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Q: Express your answer as a polynomial in standard form. f(x) = 2x² 5x – 12 - g(x) -2x + 2 = Find:…

A: f(x)=2x2-5x-12g(x)=-2x+2

Q: Let y = f (x) be the particular solution to the differential equation with the given initial dy dx…

A: The given initial condition is .The aim is to find the tangent line to approximate to .

Q: Consider the following. f(x) = 48x − 4x2 Find  f '(x). f '(x) =        Find the critical…

A: The objective of this question is to find the derivative of the function f(x) = 48x - 4x^2 and then…

Q: JO 1/8 ន √1 16x2 dx

A: By change of variables to evaluate the following definite integrals.

Q: A jewelry box with a square base is to be built with silver plated sides, nickel plated bottom and…

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Q: Find the area of the region pictured below that is bounded by the functions v(y) = 3y – 6, u(y) =…

A: The region bounded by the curves  and .The aim is to find the area of the region by integrating…

Q: Suppose a dog jumps in the air and that its height (in feet above the ground is given by h = -16t² +…

A: Given suppose a dog jumps in the air and that its height (in feet) above the ground is given by

Q: Identify domain and range and determine it it’s a function

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

Q: Evaluate the following 2 j (x² + 3x-10) dx -5 √(x²+3x-10 +3x-10) dx = -5 (Type an exact answer. Use…

A: The given integral is .The aim is to find the value of the integral.Formula used:

Q: Problems 1-10, multiple choice. 1. What is the average value of y = e* on the interval [2, 7] ? A.…

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Q: Find a, b, c, and d such that the curve y=ax^3+bx^2+cx+d has its tangent line at (1, 1) and at (0,…

A: To find such that the curve  has its tangent line at(1, 1) and at (0, -2) are parallel to lines…

Q: Find the linearization L(x) of f(x) at x = a. f(x)=x+, a= 2 3 O A. L(x)=x+1 3 2 23 OB. L(x)= x+3 5…

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Q: Suppose that the variables x and y are related by the implicit equation X V = -3.3x 1.8 ln(x)+2.8y—…

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Q: Determine the integral by making the appropriate substitution. 1 1+ 4e dx

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Q: Consider the function F(x) = [*__cos(1²) dt. (a) Compute F(-√√T).

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Q: (d) If g(x) is an odd function, then g(x) dx =

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Q: Consider the following integral. √1 + 7x dx Find a substitution to rewrite the integrand as du. u¹/3…

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Q: Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph…

A: The objective of this question is to understand the graphing strategy for the function f(x)= 5x^3 -…

Q: Consider the triangle below. Click on the picture to see it more clearly. If a = 8, the angle C =…

A: The given triangle has measures .The aim is to find the remaining meausres .

Q: Find the area of the blue region. It is the area under the curve. y 8 6 4 2 y = 3x + 1 y=8-x

A: We have to use the concept of definite integral

Q: Electric charge is distributed over the disk x² + y² ≤ 3 so that the charge density at (x,y) is o(x,…

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Q: e² S 1 In P dp р

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Q: Convert the Cartesian coordinate (-2,-5) to polar coordinates, 0 ≤ 0 < 2π r = Enter exact value. 0 =

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Q: Determine the x values where the following function is discontinuous Select all correct answers.…

A: The given function,The aim is to find the discontinuous points of the function .

Q: Given the graph of the function f (a) below, use a left Riemann sum with 4 rectangles to approximate…

A: Given the graph of the function  below, by using  a left Riemann sum with 4 rectangles to…

Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

A: y = xe-x , 1 ≤ x ≤ 7