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Q: 29. For what values of his f(x) = Oh=7 h= = -1 Oh=-4 Oh=8 (4-23 hx² +13 if x <3 if x ≥ 3 continuous…

A: We have to find the value of h for which function is continuous everywhere.

Q: Is sin cos sec- csc 0 TRUE for all values of 0? = sin cos

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Q: Your wardrobe consists of 2 shirts, 4 pairs of pants, and 15 bow ties. How many different outfits…

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Q: sin(u) cos(u) - cos³(u)

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Q: Solve the following ODE using the trial solution method, y" - 4y=0 with the initial conditions, y…

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Q: Determine the general solution to the following equation given below: y"+6y'+25y=0. Provide your…

A: NOTE: Refresh your page if you can't see any equations..The given DE is,

Q: Evaluate the definite integral. L₁ (2² - 2)² dx X 9.73

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Q: 72 Write the equation of the line tangent to f(x) = 42x + X y= Write the linearization of fat x=2.…

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Q: The series Σ • Σ n=1 4n 3+5n TU is

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Q: 3. Find the area under the curve y = xe-² from x = 0 to x = 2.

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Q: Use Green's Theorem to evaluate the line integral. J 2xy dx + (x + y) dy C: boundary of the region…

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Q: An investment appreciates 2% per year. Originally $5000 is invested. What is an equation for the…

A: here we have to find the equation for the number of years since the money is invested as a function…

Q: Consider the implicit curve C given by the equation C: y²e²¹ = 3y + x². (a) Find d (b) Find d (c)…

A: Consider the implicit curve C given by the equation(a) To find .(b) To find .(c) To find the…

Q: 4. The logistic model describes population growth proportional to the carrying capacity by the…

A: NOTE: Refresh your page if you can't see any equations..The given DE is,Take integration on both…

Q: Evaluate the double integral for the function f(x, y) and the given region R. f(x, y)=2y+5x;R is the…

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Q: Simplify the following trig. expression: 1 sin 0 cos cot

A: Simplify the following trigonometric expression.

Q: Consider the following. y = x² y = 20 - x -10 -5 25- 20 15- 10- 5- 5 10 15 20 X (a) Find the area of…

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Q: 23. The table below shows the number of vehicles parked in a downtown parking lot over a three day…

A: The solution is shown in step-2

Q: 1. Given the diagram below, determine the angle made by the diagonals AD and BC.

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Q: rest hundredth by drawing a parallelogram. Be sure to show and explain all work.

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Q: When placed tail-to-tail two vectors make an angle of 100°. The magnitude of the first vector, is 7…

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Q: A company finds that the marginal profit, in dollars per foot, from drilling a well that is x feet…

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Q: Find the domain of the function f(x) = −2x². Use interval notation to express your answer. - 6x + 10

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Q: 5. A farmer wants to fence in 18 square feet of land in a rectangular plot along a straight highway.…

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Q: Find what the Sequence (1/n)^(1/n) converges to or if the sequence diverges.

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

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Q: Which of the following integrals is the volume of the solid bounded by the paraboloid z = 1-3x² -…

A: Solution is given below.

Q: Match the graph with its corresponding function. -10 -5 10 5 -10- g(x) = x² +3 g(x)=x²-3 g(x) = 3x2…

A: Explanation of the answer is as follows

Q: Solve 8 sin (26)-14 sin() = 0 for all solutions 0 < < 2π 6 = Give your answers accurate to at least…

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Q: Sketch the graphs of the functions. f(x) = x³+x² - 6x and g(x) = 0 O 2 4 6 8 X + # 8 -6 -4 4 X Find…

A: Solution is given below.

Q: Find div(curl F) = V. (V x F). F(x, y, z)= xyzi + yj + zk

A: If vector field then from the question

Q: a b = A= B B = b Note: Triangle may not be drawn to scale. Suppose a = 8 and c = 11. Find: с A…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: 10 0 1 y = ex 3 X

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Q: The Second Gate As you move through the first gate, you can see another gate not far in front of…

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Q: Find the derivative of the following (In (5x² + 2x)) dx by using the Chain Rule as follows a.…

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Q: Find the area of the region indicated in blue. Area = sq-units Report answer accurate to 3 decimal…

A: NOTE: Refresh your page if you can't see any equations..First, we need to find the total area of the…

Q: Find the volume of the solid obtained by rotating the region bounded by y = ln(4x) + 5, y = 0, y =…

A: The solution is shown in step-2

Q: Evaluate the integral by reversing the order of integration. 2 8 So y²1 dy dix L ² +1

A: To evaluate the integral by reversing the order of integration.

Q: A An arch for a doorway is to be constructed in the shape of a semi-ellipse. The opening is to have…

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Q: Is 1 sin u sec u TRUE for all values of u? - COs³ U 1 + sin u

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Q: 4. (a) (b) Find the critical point (s) of f(x)=³-67² +9r. Classify each critical point from (a) as a…

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Q: 1. Solve dp do the following: 4-p² p(x²41) =

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Q: The Fifth Gate After traversing your continuous path, you finally arrive at Gate 5. Your computer…

A: Given that ,and

Q: According to a study, a vehicle's fuel economy, in miles per gallon (mpg). decreases rapidly for…

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Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f '(x) and…

A: NOTE: Refresh your page if you can't see any equations..Take integration on both…

Q: 8. Consider the power series: [(-3) ² n=0 a. Determine its radius of convergence. b. Determine its…

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Q: lim n-> infinity |7(2n)!(x-11pi)^2n+2/7(2n+2)!(x-11pi)^2n

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Q: Find the indicated derivative. If y = x6x¹/2, find d²y dx² d²y dx²

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Q: Sketch the region of integration and change the order of integration. √x 1³ [VER f(x, y) dy dx f(x,…

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