Evaluate the integral. (Use C for the constant of integration.) tan (x) cos(x) dx

Q: Find the minimum distance from the point to the surface z = √4 - 2x - 2y. (-2, -2, 0)

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Q: write on paper for upvote please. Provide Exact

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Q: State the range of f(x)= {v=Ry>} b. ve Rly - } 3 a. 1 3x+4 C. {v=Ry>0} d. {ve Rly 0}

A: We can find the range as below.

Q: Find the area of the region bounded by the graphs of the given equations. y = 6x-x², y = - 2x The…

A: The given curves are: y=6x-x2, y=-2x   Now find the point of intersection between the given curves.…

Q: A rocket is fired upward from some initial distance above the ground. Its height (in feet), h, above…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: This question can be solved using the concept of differential equation.

Q: el For the function z = f(x,y) = - 4x³ -6y² - 7xy, find t V ne ON dz dx dz 3x forr || f(-5,4)=…

A: The given function is: z=fx,y=-4x3-6y2-7xy   As we know that; The Power Law: ddxxn=nxn-1

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.…

A: increasing and decreasing intervals of fucntion  fx=3x4 − 4x3 − 12x2 + 5

Q: Which of the following graphs is the correct plot of y = 3 sin(x)? -4 3 2 1 -2 -5+ 5+ 1 2 3 4 O 6 3…

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Q: For y=x²-9x+8, find dy, given x = 1 and Ax = -0.1. dy = (Simplify your answer.) 5 2d

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Q: Please

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Q: 1 yy" + (y)² = yy' y(0) = 1, y'(0) =

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Q: Find the curve of best fit of the type y = aebx to the following data by the method of least…

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Q: In the integral of x cos 2x dx with limits form 0 to pi/2, what is the indefinite integral? Select…

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Q: how long will it take for the money in an account that us compounded at 8% interest to quadruple

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Q: Let f(x)=√/25 - x The slope of the tangent line to the graph of f(x) at the point (9, 4) is The…

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Q: 2. Consider finding the root of f(x) = e*(3.2 sin(x) - 0.5 cos(x)) on the interval [3, 4], this time…

A: Concept: Bisection method: To determine the roots of a polynomial problem, utilize the bisection…

Q: Given F(x, y, z) = ei + (xe + e*)j + ye² k. (a) Show that F is conservative by finding curl F. (b)…

A: use the fundamental theorem of calculus and partial derivative for finding the line integral.

Q: 9. Give a geometrical interpretation of the intersection of the planes with equations x+y-3=0…

A: Give a geometrical interpretation of the intersection of the planes with equation. x+y-3=0 y+z+5=0…

Q: Find the composite functions (f. g) and (g°f). What is the domain of each composite function? domain…

A: Given: fx=x6gx=x6

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 12e* - 12 y(x) =

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Q: Determine whether the given set of functions is linearly independent on the interval (-00, 00).…

A: Given: f1x=2+x, f2x=x, f3x=x2

Q: You go to the doctor and he gives you 16 milligrams of radioactive dye. After 20 minutes, 7.5…

A: We will solve this problem.

Q: lim x-0 tan x - x .3 X

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Q: the function. x+1 f(x)= (a) Find the Inverse function of f. 1-¹(x) = (b) Use a graphing utility to…

A: Please see the below picture for detailed solution.

Q: Find the composite functions (f. g) and (gf). What is the domain of each composite function?…

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞, ∞o). f₁(x)…

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Q: Find the integral of So 7x+2x² (x-4)(2x+3X2x+1) dx

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Q: 1. 9x2 + 4y2 = 36 2.222² 쫑 = 1

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Q: 9) 1 What value(s) of x makes + ed 0.91/14 4|33|4 b. 0, X x+4 = 2 true? C. d. 2√√3 3 3

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Q: For the given differential equation, what is the a) order, b) degree of the differential equation,…

A: The given differential equation is d3ydx35-7xd2ydx23+5dydx=11ey

Q: VALUE INSIDE THE CIRCLE cos² x Yp = D²+1 For given particular integral multiplying and dividing by 2…

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Q: 7. The sides of a parallelogram are 6.3 cm and 9.2 cm. One angle is 56° while the other angle is…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture and a…

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

A: We are asked to find the diminishing returns of the point.

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: Find the general indefinite integral. (Use C for the constant of integration. Remember to use…

A: simplify the expression and solve the integral

Q: ((x)/)6 (1) (e) f(g(x)) ((7-))* (P)

A: Given;  f(x)=2x3 and g(x)=4x+5.

Q: - The complementary function is १ex . Ус where C₁, C₂, C3, C4 си the particular Solution se = c₁ex +…

A: This is a problem of ODE. Please follow the procedure given below.

Q: Constraint 1. V= 32000 cm³ xyz = 32000 g(x, y, z)=xyz-32000 vg = (y², xz, xy) function SA= xy + 2yz…

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Q: a B sin(A) = cos (A) = Note: Triangle may not be drawn to scale. Suppose a = 9 and b = 2. Find an…

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Q: Find the general solution of the given higher-order differential equation. y"" - 7y" + 8y' + 16y = 0…

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Q: Given the diagram of the bounded area, The limits of integration Choose Area in square units is X is…

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Q: Use the summation formulas to rewrite the expression without the summation notation. S(n): = 8i + 7…

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Q: Use sigma notation to write the sum. 4 4 1 + 2 1 + 3 4 1 + 1 + + + ... + 4 1 + 19

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Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Solution ) we have option 3rd  y"+ 4y = 0 Auxilliary equation  m2 + 4 = 0 m2 = -4 m = √( -4 )  m =…

Q: Write an equation for the function graphed below -7 -6 -5 y = 4 110 123 ku 3 4 5 6 a

A: We can  formulate the equation of the function by using the vertical asymptote and the  intercepts.

Q: Use the substitution t = -x to solve the given initial-value problem on the interval (-∞o, 0) x²y" -…

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Q: Evaluate the line integral y = x² from (-1, 1) to (1, 1) and the line segment from (1, 1) to (−1,…

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