p(x)=3x^3−x^2−8x−25 k=3 Use synthetic division to determine if the given value for k is a zero of this polynomial if not determine p(k)

Q: What is the integrating factor of (1+x)y +2y= 21ax sin.x 1+x

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Q: The integrating factor (IF) of the equation y' - 2ycot2x O A. sin2x O B. cot2x O C. Lnsin2x O D. E.…

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Q: fies a(t) = −9.8 + mv(t)², where v(t) is velocity, negative since the object is falling, and k is a…

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Q: Find f'(x) and simplify. f(x) = 8x*(x³ -9) 3 Which of the following shows the correct application of…

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Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y =…

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Q: x² Evaluate: lim x+0 tan² (x² + 2x)

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Q: t is the object's velocity when t=6? far has the object traveled in 6 hours? n is the object…

A: Topic:- application of derivatives and algebra

Q: n Provide an example with your Explain how to evaluate explanation.

A: Given, nr

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. O B. OC. ev eLny HA O D.y…

A: given    y(x+y+1)dx+x(x+3y+2)dy=0   it is of the form Mdx+Ndy=0   where M=y(x+y+1),    and…

Q: Find all values of n such that y = x" satisfies x²y" - 20y = 0

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Q: The answer is incorrect

A: We have to find derivative value at the given x-value.

Q: If f (x) = x2 - 3x, find f (0), f (5), f (3), and f (-7).

A: Given data:- The given function is, fx=x2-3x

Q: 11. The value of k such that the line y = 4x - 3 is tangent to the graph of f(x) = kx² is

A: The function is given by fx = kx2                                 .........1 The equation of the…

Q: Which of the following equations is NOT an exact equatio OA. (2x sin y + y)dx + (x² cos y + x)dy = 0…

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Q: (a) If y=f(x) = 7e²+3x² - 20x-5, find the derivative f '(x).

A: given that,   y=f(x)=7ex+3x4-20x-5,   find the derivative of f(x)? formula:   ddx(xn)=nxn-1

Q: If (OM-ON) 1/12 - - 5, = ?х M y OA. e5 O B. OC. y5 O D. e-5 O E. -5 then what is the integrating…

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Q: Which of the following equations is NOT a variable separable differential equation? OA 2xydx + (x² +…

A: NOTE: Refresh your page if you can't see any equations. . check the first DE now all x variables…

Q: Find the equation of the plane through P(2,-1,1) that is parallel to II: 2x + 3y +z - 12 = 0.

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Q: 11. Let g(x) = x² e. Find at which x value(s) does g(x) have a horizontal tangent line? X

A: Given query is to find the value of x where tangent line is horizontal.

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. O B. ey O eLny °A O D.Y O…

A: given    y(x+y+1)dx+x(x+3y+2)=0

Q: If f(x) = f'(x) = = f'(4) = 3 tan x, then -sin(x) - 3 sec²(x) COS X >

A: we need to find out the derivative for the given function

Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy4 + 2y)dx + (2y³ + 2x²y +…

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Q: The Cartesian coordinates of a point are given. (a) (b) (4,-4) (i) Find polar coordinates (r, 0) of…

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Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x −y)dy = 0? None…

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Q: what is domain of function?

A: Domain A domain is a collection of computers and other devices that are managed by a single,…

Q: Determine the order and degree of the differential equation, 3x- + 5x² (d²y) ³ - 3 A. First order,…

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Q: - Let 3x² + 1 13 10x - 7 ermine if f(x) is continuous at x = 2 by computing limit: f(x) = x 2

A: Given query is to find function is continuous or not on x = 2.

Q: f(x) = ln(x), ro= 100, and 2₁ = 105.

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Q: •√√cos Evaluate cos x sin³ x dx. + C

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

Q: Which of the equations below is a second order nonlinear differenti A. 2 |x²y - (1 - dx)² = e ²x B.…

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Q: e correct answer below. , because f(x) has a limit as x approaches c if and only if and only if it…

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Q: Evaluate the piecewise function at the given values of the independent variable. h(x)= (a) h(3) x² -…

A: The function is given by hx = x2-36x-6if x≠65if x=6 To evaluate: The values of a h3  b h0  c h6

Q: 5. Bernoulli's Equations b. 2x³y' = y(y² + 3x²)

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Q: Question 16 Eliminate the arbitrary constants of y=c₁e³+₂x4-sin 3x

A: We are given a differential equation,  y = c1ex +c2x4 -sin3x   ... @ We havet o eliminate arbitrary…

Q: Which of the following equations is NOT a variable separable differential equation? OA. 2xydx + (x²…

A: NOTE: Refresh your page if you can't see any equations. . check the first DE now all x variables…

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. B ev eLny B O D.y E. None…

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Q: -22 - x2, find f(x), f(x), f(x), and f(4)(x). " (x) 70 = aph f, f', f", and f" on a common screen. y…

A: Given query is to find indicated derivatives.

Q: Where Given the vectors 2 = ( 2,-1, 3), B = PQ P (1, 1, 1) and Q (5,1, -1) and C = T J + 3R . • Find…

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Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy + 2y)dx + (2y³ + 2x²y + 2x)dy…

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Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. B. ey eLny OD.y O E. None…

A: To find the integrating factor.

Q: A simplified economy involves just three commodity categories-agriculture, manufacturing, and…

A: Solution: Given an input-output matrix  The production matrix is X and Demand matrix is D

Q: the following function. y = x³ + 3x² - 9x + 3 ~'(x)..

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Q: Which of the following equations is NOT a variable separable differential equation? A. 2xydx + (x² +…

A: A Separable differential equation is any equation that can be written in the form of dydx =…

Q: Consider the parallel piped with adjacent edger R² = -2²² + 35²¹ + R²₁ V² = 1² + 3√² + 3K² and W =…

A: We can find area of the face .

Q: Solve for the value of C in the equation: dx +ycotx = 5ecosx when y (-₁) = 1

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Q: The exercise involves observing a pattern in the expanded form of the binomial expression (a + b)n.…

A: Given data:- (a + b)1 = a + b(a + b)2 = a2 + 2ab + b2(a + b)3 = a3 + 3a2b + 3ab2 + b3(a + b)4 = a4 +…

Q: -6 1 1 9 d. f(-4)= = -2 T Consider the graph of y = f(x) above. State the value of each of the…

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Q: (g) Differentiate g(x) = V/1-x².cos-¹ (√) (h) Find d de (i) Find [sec (arctan (02))] d [sin -¹(cos…

A: In the given problem, three differentiation are provided. We have to differentiate each. To get the…

Q: 3. Find lim f(x) and lim f(x) for the given function and value of c. Tough X-C+ X-C f(x) = (x+8)-…

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Q: Which of the following equations is NOT an exact equation? OA. (2x sin y + y)dx + (x² cos y + x)dy =…

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