8. dy = y(xy³ - 1) dx

Q: Using the concept of the Coefficients linear in two variables, find a particular solution of the…

A: Let's solve given differential equation.

Q: 6) The number of downloads of a certain app is 13.6 million in 2019, and 11.4 million in 2022.…

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A: Volume of a cylinder is given by V=πr2h, where r is the radius and h is the height of the cylinder.…

Q: Determine the type of DE: x³ydx + (3x*- y³) dy=0 Homogeneous Bernoulli's equation Both Homogeneous…

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Q: 1. Consider the graph of a cubic function. a. Determine a quadratic function that could have been…

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Q: 2. Find the general solution of the following differential equation: (x² + 1)y' + 6xy=x a. y=1/3 +…

A: Given differential equation ( x2 + 1 )y' + 6xy = x

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Q: A stone is dropped from the upper observation deck of a tower, 950 m above the ground. (Assume 9 =…

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Q: Use your answer above to approximate 3 radical 0.99 + In(1.01). Write your final answer as a…

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Q: If u=sec 0, then A B C D 1 √2 du √2 S 1 UL u√u du 0 S² Ju du √ 1 √2 du S√₂ 1 u√u sec 0 de=

A: Given query is to find resulting integral.

Q: xdy dx - 4y = x6ex

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Q: Find f'(2) if f(x) = h(x) · (x² + 3) where h(2) = -3 and h' (2) = 2. Answer:

A: We need to find out the derivative of the function.

Q: Use the Method of Lagrange Multipliers to determine the dimensions of a rectangular box, open at the…

A: We have to find the dimensions of the box.

Q: 6. f xarctanxdx

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Q: Espanol Consider a triangle ABC like the one below. Suppose that B = 100°, a = 7, and C = 24. (The…

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Q: ndefinite integral. √(√x - 5) ² x² In your answer, enter exponents as fractions and not decimal…

A: Given query is to find the value of the integral.

Q: F(x, y, z) = (z sint z sin(ar), e²y-2 X b+y

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Q: f sin¹xcos² xdx

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: 1 n Prove that 1+ 2+ -3+ + 2-1 (Hint: Differentiate both sides of the equation equation.) +4. 1 1-z…

A: The solution is given below

Q: Evaluate lim X-8 999x1000 + sin x x1000

A: Given :limx→∞999x1000+sinxx1000

Q: Which of the following pair of points has slope m = -2? □ a. (-1,3) and (-5,-11) O b. None among the…

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Q: III. Consider the function /(x)= x(x-3)² d) Determine the vertical, horizontal or oblique asymptotes…

A: NOTE: Refresh your page if you can't see any equations. . the given function is a polynomial…

Q: ind the slope in the x-direction at the at P(0, 2, ƒ(0, 2)) on the graph of f when f(x, y) slope = 0…

A: We will find the required.

Q: Find f'(1) if f(x) = Answer: In 210 h(x) where h(1) = 2 and h'(1) = 1.

A: Given f( x ) = ln x10h( x )f'( 1 ) = ? h( 1 ) = 2 h'( 1 ) = 1

Q: Write the system in vector matrix form: b) x2 O d) C X' X² 3 0 -3 -2 2-2 1 2 1 -4 3 04 -1-3 2 2-22 3…

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Q: 2. f'(-0.1) -5.84 3. f'(-0.1) -5.74 4. f'(-0.1) -5.64 5. f'(-0.1) ≈ -5.54 (iv) Use p4 to estimate…

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Q: Evaluate the geometric series or state that it diverges. Σ(-0.9)k k=2 Select the correct choice and,…

A: NOTE: Refresh your page if you can't see any equations. . here the series start from k=2 so we can…

Q: Evaluate the following limits. If the following limits produce an indeterminate form, identify the…

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Q: Question 8 If the substitution u=1+√x is made, then A B Ⓒ fr S=² 3/2 du 3/2 du √udu 2 f√udu [(1 +…

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Q: 2. f sec² x [sin(tanx)]dx I

A: To evaluate the following integral.∫sec2 x·sintan x dx

Q: Find the length and direction (when defined) of u x v. When : u = 2i +2j -k; v = -i + k;

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Q: Solve the following DE: y'=y-ay-³e-2r O e²¹ = y(x²+C) 2x O e ²¹ = y²(x²+C) -2x ○ e− ²¹ =y²(x+C)…

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Q: 2. The marginal cost of printing a poster when x posters have been printed is given by C'(x) = 4 x²…

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Q: x² 2 - 4 - lim x +∞ x O a. O b. +∞o O c. 0 - - O d. 4 -∞ O e. 1 O f. 2 O g. -4 Oh. -2 2 = O i. None…

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Q: f(x) e (2x+4) = 9 (i) find the third derivative, f"", of f.

A: Solution ⇒    Given function is f(x) =e2x+4    a) third derivative of given function,…

Q: Solve the system of Gaussian Matrix lincar equations - 2x + x + 2y - Z = 1 3x + 8y + 5z = − || + 12…

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Q: b. z = x² + 3wxy + w², with x = 2t + 1, y = e, and w = 3-t².

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Q: Question 3: Find the intervals on which f is increasing or decreasing, and find the local maximum…

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Q: 1 (3y′)² = (4x²y³ + y)¼y″

A: The given differential equation is: 3y'2=4x2y3+y14 y''

Q: Complete the table given the D.E. y" + 6y' + 9y = 0 Differential Operator Form Auxilliary Equation…

A: Topic - Differential equations We are given, y''+6y'+9y=0 (a+b)2=a2+2ab+b2

Q: Evaluate the definite integral: Check ₁²=C

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Q: A cylindrical balloon is being inflated at the rate of 157 cubic feet per minute and such that the…

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Q: Complete the table given the D.E. y" + 6y' +9y = 0 Differential Operator Form Auxilliary Equation…

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Q: Using the method of substitution, b I `= = [ 2² √4z + 6dz = [ f(u) du where U = du = a = b= f(u) =…

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Q: Find Give a specific function for F(x). F(x) = = [ x(x² + 6)³ dx F(x) =

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Q: Use Newton's method to estimate the requested solution of the equation. Start with given value of xo…

A: To find the root using Newton's method

Q: Select the graph for which f¹(x) > 0 a) b) c) d) v r and f(x) > 0

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Q: Use polar coordinates to evaluate fe R circles x² + y² = 1 and x² + y² = 4. dA where R is the region…

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Q: A ladder is leaning against a vertical wall. Due to the smooth ground, the foot of the ladder is…

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Q: Given the differential equation y'=e^x/y and y(e)=1, what is C?

A: