1 Find the inverse function (on the given interval, if specified) and graph both f and f on the same set of axes. Check by looking for the required symmetry in the graphs. f(x)=x²-2 for x ≥ 0

Q: Find the integral using an appropriate trigonometric substitution. 1 x²√√x²+25 dx

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

Q: f(x) = x² - 2x + 7, Need Help? Read It + 9 + h) — f(9) h f(9 "T h = 0

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Q: 89. Explain why or why not Determine whether the following state- ments are true and give an…

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

Q: Determine whether the series converges, and if it does, find the sum: 47+2 5. Σn=0 5

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Q: Find the solution of the differential equation satisfying y(2) = 1. y = (Do not enter decimals in…

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Q: Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian…

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Q: Given the vector-valued functions е u(t)= e ti+e-4 + 4tk v(t) = −ti + 4t²j + 4k d find (ū(t) · v(t))…

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Q: Equations which can be written in the form can all be solved by integration. In each case it is…

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Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

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Q: Find the normal vector to the tangent plane of z = 6eª²–2y at the point (4, 8, 6). ñ - (x, y, -1),…

A: given surface

Q: Find an equation in rectangular coordinates for the spherical equation p = 9 csc (p)

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Q: The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to…

A: Given:: f(x)=√(2-58x)Find domain of f'(x).Since,d(√x)/dx=1/2√xTherefore,f'(x)=1/2√(2-58x) .…

Q: Indicate whether the statement is true or false. 9. A normal vector to a line is perpendicular to…

A: As per the Bartleby guide line we only do first part of multiply questions. Please repost other…

Q: Find 7' (t), given r(t) = (sin(t – 1), te-t, 5t ln(5t)). r¹(t) =

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Q: −|x\, x≤-5 h(x) = {20 − x², −53

A: Given dataA function,

Q: Find the rate of change of the distance between the origin and a moving point on the graph y =…

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Q: 84. x = e¹ sin t, y = e' cos t; 0 ≤ t ≤ 2π

A: As we know The arc length of the parametric curve (x(t), y(t)) over the interval [a,b] is

Q: Find the parametric equations of the tangent line to the curve represented by the vector function…

A: In this question, we will find the parametric equations for the tangent line to the given curve.

Q: 20. (1.4.2) Use the Law of Exponents to rewrite and simplify the expression. a) 83 b) x(3x²)³)

A: a) 84/3b) x(3x23

Q: 2. A function y = f(x) passes through the origin. If the second derivative y" = -sin (2x), determine…

A: A function  passes through the origin. If the second derivative is given by , then to determine the…

Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

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Q: |u| = 7, |v|= 3 and u⚫v = 4. Find |2u + vl. Find lu - 3vl. Find λER such that (u - λv) Lv.

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Q: Solve zy' = 4y - 7c, y(1) = 4. (a) Identify the integrating factor, a(z). a(z) = [ (b) Find the…

A: To solve the following initial value problem.

Q: An economy's consumer price index (CPI) is described by the function I(t)=-.2t^3+3t^2+100  , where…

A: To find the rate at which the Consumer Price Index (CPI) is changing in 1998 , we need to calculate…

Q: 4. An observer stands 25 feet from the base of a flagpole and watches a flag being x=25 lowered at a…

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Q: or the function, find the points on the graph at which the tangent line is horizontal. y=x²-5 Select…

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Q: Differentiate with respect to t and solve for ds dt s² = x² + y² Step 3 25ds dt ds dt = 2x dx dx dt…

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Q: 8) Determine the formula for the 4th degree polynomial f(x) shown below: -2 0 2 --6- 2

A: To determine the formula for the 4th degree polynomial  shown below.

Q: dy dx I 2- y

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Q: or #18 - #20 - Find & in terms of using the formal limit & efinition. lim x1 = 0 x→1

A: Note:-Since you asked multiple questions , according to our policy we can asolve only first question…

Q: Use a tangent plane to approximate the value of the following function at the point (4.1, 4.9). Give…

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Q: 2. The input of a function C is time of day since midnight. The output is the number of cars in the…

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Q: Use the given graph of the function g to find the following limits: 1. lim g(x) = help (limits) 22-…

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Q: Kal K² = 1¹ + 2 + 3² + +ny n (n+1) (²n+1) ( 3n² + 3n-1) 30

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Q: All edges of a cube are expanding at a rate of 7 centimeters per second. (a) How fast is the surface…

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Q: Convert the point (x, y, z) = (-1, 5, -3) to spherical coordinates. Give answers as positive values,…

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Q: The height of a monument is 80 m. A horizontal cross-section at a distance x meters from the top is…

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Q: et f be the function defined by f(x) 0 x+7 Choose the correct answer below. Does not exist. . If f…

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Q: Convert the point (r, 0, z) = (2, 2π, -1) to Cartesian coordinates. Give answers either as…

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Q: im ²/1 In (4+¹) is Af'(4) where f(x) = ln x (B) (4) where f(x) = (In x)/x (C) f'(0) where f(x) = ln…

A: To find:-

Q: Find the solution of the differential equation xy' +9y = 48x 5lnx (x > 0) that satisfies the initial…

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Q: Question 3 Suppose f(a,b)→ R is continuous at every point in the open interval (a, b), and that f(x)…

A: Given that :Function  is continuous at every point in the open interval  for all To prove : for all…

Q: Evaluate the definite integral. Hint: Let u = x + 1. 8 [° 7x √x+1dx

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Q: Find the constants a, such that the function g(x) continuous at a O O O a = Oa= 4 In 9 9 In 4 In 4 9…

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Q: Find the volume of the solid generated by rotating about the x-axis the region bounded by y = 0.6",…

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Q: Suppose that the position of a particle is given by s(t) = 7t³ + 6t+ 9. (a) Find the velocity at…

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Q: A sample data set has a mean of 72 and a standard deviation of 12. Determine whether each of the…

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Q: 12- (-11)= Express your answer as an integer.

A: Let,  D=12-(-11)

Q: Find all zeros, noting multiplicities and behavior at the zeros, of the following functions:

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Q: Given that you have a fixed 40-meter-long meters long and fencing, the rectangular pen should be…

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