f(x)=(2x+1)^4. A) Find an equation for the tangent line to the graph of ff at x=2 Tangent line: y= (B) Find the values of x where the tangent line is horizontal. If there are no such values, enter -1000. Values of X=

Q: Which of the following equations has a solution of the form F(x,y) = C A. 2x + 3y + (2y + 3x) dy dx…

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Q: Use the graph of f to determine each of the following. Where applicable, use interval notation. a.…

A: The domain is the set of all possible input x values while the range is the set of all possible…

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Q: Evaluate the piecewise function at the given values of the independent variable. (a) f(-2) (b) f(0)…

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Q: 11 11 Given "f(x)dx = 34 and g(x)dx = -5, find the following: ₁₁ [4f(x)-3g(x)]dx 11 O -151 O 151 O…

A: We have, ∫-411fxdx = 34∫-411gxdx = -5 To evaluate: The value of ∫11-44fx-3gxdx.

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Q: Let f(x, y, z) = xy² + z and x = s²t³, y = st, and z = = $³4³. (a) Calculate the primary derivatives…

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Q: The integrating factor (IF) of the equation y' - 2ycot2x OA sin2x OB cot2x OC.Lnsin2x D.csc2x OE…

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Q: How many fraction terms are there in the partial fraction decomposition of x³ + x² + 12 ? x(2x −…

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Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

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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: Which of the equations below is a second order nonlinear differential equation? A. "x²y-(1-2)² = ²x…

A: (A) Here by the square of the term (1-dy/dx)² we get the term (dy/dx)² which makes this differential…

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: In 1997, there were 41,512 shopping centers in a certain country. In 2007, there were 48,662. (a)…

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Q: 17. Find the limit. x+5 lim 2 X-5x + 6x + 5 x+5 lim 2 x-5x + 6x +5 (Type an integer or a simplified…

A: Factorise the denominator x2+6x+5 and cancell the common factor of numerator and denominator.

Q: Find the volume of the solid bounded by the planes x = 0, y = 0, z = 0 and the plane 3x +2y + z = 6.

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Q: lim 0-0 cos 0 - 1 20²

A: SOLUTION-

Q: (a) lim 2 – 52+6 H-2 4-x² pts

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: x+1=y=²¹4.

A: we wil find the required equation of plane.

Q: 5. Logarithmic Differentiation Method (a) Let y = n. Compute dy by using logarithmic…

A: solutions:-(a) y=xlnxtaken log both sideslny=lnxlnxlny=lnxlnx=lnx2differentiate both sides w.r.t…

Q: what is decreasing function?

A: What is decreasing function?

Q: ce / √5³² + 25 de -dx Integrate X3 + C

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Q: Determine the solution of the differential equation: 3(x² + y²) dx + x(x² + 3y² +6y) dy = 0.

A: To determine the solution of the following differential equation. 3x2+y2 dx+xx2+3y2+6y dy=0

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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: fxe* dx.

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Q: b = PQ Given the vectors a = (2,-1, 3), P(1,1,1) and Q (5,1,-1) and Z = T J + 3R Where ● Find the…

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Q: dy What is the IF for solving the linear equation: x + dx OA. O B. O D. O E. 3 N/W X2 C. 3 3x 2 3/2…

A: Topic- differential equations we are given, xdydx+3y2=cos x,x>0wew know thaty'+Py=Q is a form of…

Q: The partial fraction decomposition of f(x) X - 5 + g(x) x + 5' where 56 x² - 25 can be written in…

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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…

A: Exact differential equation A first order differential equation M(x,y)dx+N(x,y)dy=0 is called an…

Q: Let z=xy/(5x^2+4y^2). Then:     ∂z/∂x =     ∂z/∂y =

A:

Q: SIT lim t-0 CATA 3+t-√3-t t anot

A: To find the limit.

Q: K A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges…

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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: cost function for Joanne's T-shirt production. hirts must she produce and sell in order to break…

A: we will find the required.

Q: A projectile is shot straight upwards. It's approximate height above ground t seconds after it is…

A: NOTE: Refresh your page if you can't see any equations. . the given table is  t 2 5 7 11 13 H…

Q: 6. Let f(x) = 4x² - x + 2 √x Find the equation of the tangent line (in the form y = mx + b) at x = 1…

A: To find the tangent line.

Q: Which of the equations below is a second order nonlinear differential equation? O A. 2 ¯\x²y - (1 -…

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Q: Which of the following equations can be made into a linear diff O A. (x² + xy)dy - (lnx - Iny)dx = 0…

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Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x. 3x O A. O B. C. D. O E.…

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Q: 5 (lx-21-4) dx

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

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Q: The population of the world was about 5.3 billion in 1990. Birth rates in the 1990s ranged from 35…

A: Here assume P(t) be the population of world in billions at any time t in years

Q: Which of the following equations has a solution of the form F(x,y) = C A. 2x + 3y + (2y + 3x) dy =…

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Q: Which of the following equations can be made into a linear differential equation? O A. (x² + xy)dy -…

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Q: Evaluate the following integrals: 2 5cos x - 3tan x COS X S- -dx

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Q: Determine the order and degree of the differential equation, 3x dy4 +5x² 3 (d²y) dx² - xy = 0.

A: Determine the Order and Degree of the differential equation.

Q: Which of the function is not an exact equation of the first order? OA. (ey + ycosx)dx + (xe³ + sinx…

A: See this solution in below.

Q: A distribution of values is normal with a mean of 22.3 and a standard deviation of 41.1. Find the…

A: Given that a distribution of values is normal with a mean of 22.3 and a standard deviation of 41.1 .

Q: The integrating factor (IF) of the equation y' - 2ycot2x OA sin2x OB. cot2x OC.Lnsin2x OD. CsC2x OE.…

A: