Sketch the graph using radians by creating a table of coordinates pairs using domains -2 π to 2 π, one value every π/4 radians. Then identify the amplitude and the period of each function.

Q: Evaluate the following indefinite integral. Use C for your arbitrary constant. (4x+20)² dx

A: Given that, the indefinite integral is         ∫4x+202 dx

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: Set up integrals for both orders of integration. Use the more convenient order to evalu [√x ² + x ²²…

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Q: curves r₁(t) = 5t, t°, - t²) and r2(t) = (sin(t), sin(2t), t — π) intersect at the orig the angle of…

A: We have to find the intersecting ageless of two curves.

Q: 3. The axes of two right circular cylinders of equal radius 36 cm intersect at right angles. Find…

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Q: Question 8 find derivative of f(x). f(x)= 3x²-5x +1 O 6x+1 6x-5 О 6x 6x-4

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Q: (1) Represent the functions as power series, find intervals of convergence of these series: (b) f(x)…

A: To find the power series of given function

Q: Question 1 Choose the correct statement(s) for the ODE d'y dx² dy dx A It is a 2nd order ODE because…

A: Given that d2ydx2=1+dydx2

Q: The price-demand equation and the cost function for the production of table saws are given,…

A: The price-demand equation is x=8000-20p             The cost function for the…

Q: Problem #8: Demand for a certain kind of SUV obeys the following equation, D(x, y) =…

A: Given demand functionD( x, y ) = 22000 - 12x - 12( 0.9y - 10 )32 Also given x = 58200 + 300t y = 127…

Q: 8. Evaluate the limit by using a change of variable. 1 X6 1 d. lim x→l_x³ Vx 2 x4 √x³ - 8 e. lim 1…

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Q: Find the interval of convergence of n=2 (x-4)" In (5n) (Use symbolic notation and fractions where…

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Q: Find the interval of convergence of ∞ (-3)" Σ -(x + 10)" n! n=0 (Use symbolic notation and fractions…

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Q: What does the graph of the equation 0 = 0 look like? A) The xz-plane B) The yz-plane C) The x-axis…

A: We have to find the equation corresponding to θ=0.

Q: Find the surface area of the part of the plane z=3+4x+2y that lies inside the cylinder z² + y² = 4

A: Plane = z=3+4x+2ycylinder =x2+y2=4

Q: (a) (3√/3, 3) (i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 ≤ 0 < 2πt. (r, 8) =…

A: According to our guidelines we are supposed to answer only the first question.

Q: b) The rectangles in the graph below illustrate a ? [0, π]. The value of this Riemann sum is ◆…

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Q: Sketch the graph using radians by creating a table of coordinates pairs using domains -2 π to 2 π,…

A: To sketch the graph of y = cos(x) using radians, we can create a table of coordinates pairs using…

Q: Convert the point (x, y, z) = ( − 5, 2, 3) to cylindrical coordinates. Give answers either as…

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Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

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Q: Find the derivative. f'(x) = = f(x) = x sinh(x) - 9 cosh(x)

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Q: Write an equation (any form) for the quadratic graphed below -5-4-3-2 3 N - de 4.1.1

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Q: Find the volume of the solid that results when the region enclosed e 8x x=0, x=2, and y = 0 is…

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Q: ind the amount of money that will be accumulated in a savings account if $5050 is invested at 6.0%…

A: To find out the amount of money accumulated after 19 years when it is compounded continuously.

Q: Find the equation of the tangent plane to the surface determined by f(x, y) = 50 – x³y² at x = 2, y…

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Q: What is the perimeter of the curve r = 4(1 4. sin q)?

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Q: The diameter and the altitude of a right circular cone are 10 cm and 16 cm, . respectively. Find the…

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Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 30,000 + 200x. (A) Find…

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Q: For the following exercises, find dy for each function.

A: Part 229,             y=5-2x-2Part 231,             y=2x3-x2+6x+13Part 233,…

Q: Change from rectangular to spherical coordinates. (Let p≥ 0, 0 ≤ 0 ≤ 2л, and 0 ≤ y ≤ n.) (a) (5,…

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Q: Find the antiderivative for each function when C equals 0. Check your answers by differentiation. 5…

A: (a)  h(x)=58x-18we know (i)  ∫xndx=xn+1n+1+c(ii)  d dx(xn)=nxn-1

Q: the series Σ(-1)n-1 ln(n) n n=1 absolutely convergent, conditionally convergent, or divergent? Make…

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Q: LIDS Inc. manufactures college football team hats. The total revenue (in thousands of dollars) f the…

A: given revenue function is :-R=-5x2-8y2-2xy+76x+101ythen we have  to find maximum total revenue

Q: 4. Write the logarithm as a sum and difference of logarithms. Simplify each term as much as…

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Q: Evaluate the integral by changing to cylindrical coordinates. 9- y² 6 3 LINT 3. 9- y² x² + y² xz dz…

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: Firstly we find local maxima or minima . secondly inflection point.

Q: 9. Evaluate each limit, if it exists, using any appropriate technique. √x + 1 1 d. lim x→0 e. lim…

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Q: ᎧᏃ at for z = f(r, s); r = g(t), s =) A) C) дz at ?z at = az dt dr dr əz dr dr dt + =h(t) əz dt as…

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Q: If f(x) = ( (1 – t)e dt, on what interval is f increasing? -

A: To determine the interval on which f is increasing. f(x)=∫0x(1-t2)et2dt

Q: Find the area bounded by the curves x^2 + y = 0 and 2x + y + 3 = 0.

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Q: 21. Explain why the columns of an n x n matrix A are linearly independent when A is invertible. 34

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [s sin(t)√1 + cos(t) dt

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Q: Convert the point (x, y, z) = (-5, -5, 4) to spherical coordinates. Give answers as positive values,…

A: we have given point (x,y,z)=(-5,-5,4)

Q: Find the acute angle between the two 14. curves y = x^2 and y = x^3 + x^2 + 1 at their point of…

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Q: There are three options for investing $850. The first earns 11% compounded annually, the second…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subaprts…

Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the…

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Q: Solve the following questions using ODEs. 1. x2y″ - 5xy′ + 9y =0

A: PLEASE NOTE:  According to our company guidelines we are directed to solve only one at a time .…

Q: Find the total area of the region between the x-axis and the graph. 3 y = x³ - 3x² + 2x, 0≤x≤2

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Q: 5. Given the following graph for the first derivative of f(x), determine the interval of increase…

A: We need to find interval of increase and decrease of f(x).

Q: A particle moves in a straight line with velocity 10 2t ft/s. Find the total displacement and total…

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