2. (3-3Sin2x) dx seczx (cox-six) 1

Q: find a basis for the eigenspace corresponding 16. A = to each listed eigenvalue. 30 20 1310 0110…

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

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in.…

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Q: 1. Use an appropriate substitution to solve these four ODES: (a) dy dx = x + 3y 3x + y

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Q: The function g(x) = 12x2² - sin x is the first derivative of f(x). If f(0) = -2, what is the value…

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Q: Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution,…

A: Given that:  3x + 5y = -2 and 5x + 3y = 2. And we find value of x and y ising gauss elimination…

Q: Compute sin((t + 2))dt. 0-1/1/12 01/1/12 3 2πT O O- cold 3 2πT ONone of above

A: Given integral:- ∫01sinπ3t+2dt

Q: Use the ratio test to find the radius of convergence of the power series R (If the radius is…

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Q: f cos 4x√sin 4x + 1dx. O-(sin 4x + 1)³/2 + C O(sin 4x + 1)³/2 + C O-(sin 4x + 1)-¹/² + C O(sin 4x +…

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Q: Determine an equation of a plane that is perpendicular to the line [x, y, z] = [1, 1, 1] + t[1, 2,…

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Q: class of fourth graders walks to a park on a field trip. The function y = f(t) graphed below gives…

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Q: 13x² √x² −1 dc = √u dhe, dx If values for a and b. , then determine which of the following should be

A: ∫24 3x2x3-1dx

Q: Find all solutions of the given system of equations and check your answer graphically. (If there is…

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Q: The following table gives the percentage, P, of households with a television set that also have a…

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Q: Let R be the region in the first quadrant bounded by the x- and y-axes and the line x + y = 13.…

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Q: A metal cube dissolves in acid such that an edge of the cube decreases by 0.70 mm/min. How fast is…

A: We have to find the rate of change of volume.

Q: Find parametric equations for the line whose vector equation is give (a) (x, y) = (2,-2) +t(1,-6)…

A: Given  vector equations of lines are :(a) x, y=2, -2+t1,-6(b) xi+yj+zk=k+ti-j+k

Q: 9 f(x) 3 + 7x a. Find the full power series of f(x) centered at x = 0 and give the first five…

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Q: Find the volume of the solid generated by revolving the region bounded by the given curve and lines…

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Q: Suppose that f is a function given as f(x) = -3x² - 2x - 3. Simplify the expression f(x + h). f(x +…

A: f(x)=-3x2-2x-3(i) f(x+h)=-3(x+h)2-2(x+h)-3

Q: evaluate using integration by parts

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Q: The relationship between the price and the demand of a certain product is described by the equation…

A: Given price function  p + 0.03x = 143  p = 143 - 0.03x

Q: 2. Let a > 0 be a fixed real number. Determine whether dx xl+a [3 converges or diverges. If it…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Write a polynomial f(x) that satisfies the given conditions. Polynomial of lowest degree with zeros…

A: Topic = Polynomials

Q: You must use the space provided for your work. You can use extra paper (must be a computer paper) if…

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Q: Find the particular antiderivative that satisfies the following conditions: dR dt R(t) = 80 t² ;…

A: Given, dRdt=80t2  R1 = 20  We have to find R.

Q: Which definite integral would you use to compute the area enclosed by the parabola y = -x² + 4 and…

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Q: Evaluate the iterated integral In 3 In 5 S + 3y dy dx

A: The given iterated integral is:∫0ln 3∫1ln 5 ex+3y dy dx

Q: 18 > (a) Find the direction for which the directional derivative of the function f (x, y) = 7xy² +…

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Q: Find the derivative of the function at the given number. f(x) = √x at 25 f'(25) =

A: To find the derivative of the function at the given number. fx=x at 25

Q: raph for the derivative of some function f(x) which 1 y 15 13 11 9 7 15 75 -11-9-7-5 -3 -1 1 3 -5 3…

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Q: A particle moves along a coordinate axis. Its position at time t (sec) is s(t) = f f(x) dx cm, 0…

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Q: Consider the function f(x, y) = 2ye" and the region R = {(x, y)|0 ≤ x ≤ 1,0 ≤ y ≤ x³}.

A: Given: f(x,y)=2yex7

Q: Linearize ​f(x)=2−x for a=1 and use it to approximate the value of 1.8.

A: Given function is f(x)=2-x  for a=1

Q: Ingrid wants to buy a $15,000 car in 6 years. How much money must she deposit at the end of each…

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Q: Find the future value of the following ordinary annuity. Payments are made and interest is…

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Q: 4. Compute y' where y = 06x² - 6x 6x - 6 O4x - 3+1/2 04x-3-1/2 ONone of these 2x³ 3x²+1 x

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Q: 1 Find the area of the surface generated by revolving the curve x = 3 cos (3t), y = 2 + 1 sin (3t)…

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Q: 1. The graph of a function f is shown. Sketch the graph of f. A. B. C. D.

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Q: A cylinder is inscribed in a right circular cone of height 7 and radius (at the base) equal to 4.…

A: I am attaching image so that you understand each and every step.

Q: Sketch the graph of a continuous function f on the given domain that satisfies all conditions. f has…

A: f has domain [0, 6]; f(0) = 0; f(6) = 4; increasing and concave down on (0,6)

Q: Replace the Cartesian equation (x− 1)² + (y + 4)² = = 4 with an equivalent polar equation.

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Q: f(x)=x√x²+4 defined on the interval -5 ≤ x ≤ 4. f(x) is concave down on the interval x = f(x) is…

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Q: Find the point of intersection (xo, Yo, Zo) of the lines given as: L₁: L₂: Xo = Yo = Zo = M i x=…

A: Given lines equation:- L1: x=3+t,y=5+6t,z=5+tL2: x=3+t, y=6+7t,z=6+2t

Q: F) y= 4x³ In(8x)

A: y=4x3ln8xd dx(xn)=nxn-1d dx(lnx)=1xd dx(ab)=b×dadx-a×db dxb2

Q: Show that the lines L₁ : x = 3-t, y = 2t, z = 2+t and L₂: x = 1 + 4t, y = 3-8t, z = 5 - 4t are…

A: Solution is given below:

Q: With an annual inflation rate of 1.33%, how much did an item that now costs $1100 cost 4 years…

A: Given present cost of item=1100 $time= 4yearsand rate=1.33%=0.0133n=1 (inflection rate yearly, n=1)

Q: It takes a month for a horse, two months for a goat and three months for a sheep to eat a cart of…

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Q: so whats the answer

A: So what's the answer.

Q: The point x = 0 is a regular singular point of the given differential equation. Find the recursive…

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Q: The cost of producing a units of stuffed alligator toys is C(x) = 0.001x² + 7x + 6000. (a) Find the…

A: We have to find the cost and marginal cost when 500 units are produced.