Find all values of x (if any) where the tangent line to the graph of the given equation is horizontal. HINT: [The tangent line is horizontal when its slope is zero.]  y = −7x2 − 4x

Q: (a) Find the general solution of dy/dx = 8x³-4x+1. (b) Determine the particular solution such that…

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Q: Tim √x-2 X-74 X-4

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Q: The area of the top side of a piece of sheet metal given below. The sheet metal is submerged…

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Q: Problem 4: Find lim 818 1 -2.3 + 1 2.3.4 + ... + 1 2.(n+1).(n+2),

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Q: Oil spilled from a ruptured tanker spreads in a circle whose area mi² increases at a constant rate…

A: Using differentiation

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A: Topic- Functions we are given, F(x,y)=1+1-y2and we know that value of squareroot function is always…

Q: If f(x)=√x-2 and g(x)=x+3, what is the domain of f(g(x))? O #23 02-2 O M-1 O z>2

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Q: Use the graph of the function f shown to estimate the following limits and the function value.…

A: We can solve it as follows.

Q: 1. f(x). = X+I

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Q: 20-25 -**- Solve (px - y) (py + x) = 2

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Q: dy 3. Let y = (f(x) + 5x2)4 and suppose that f(-1) = -4 and = 3 when x = -1. Find f'(-1). dx

A: Given that y=fx+5x24 along with it when x=-1, there will be f-1=-4, dydx=3 We have to find the value…

Q: How did you obtain 8x?

A: Let's solve.

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Q: 86. f(x) = √x, g(x) = 2 x - 4

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Q: Consider the cylinder on the right (a) Write an equation expressing the fact that the volume is 221…

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Q: Q3/ Use the l'Hopital's rule to find the limits 1-sine 8-π/2 1+cos20 3) lim

A: limθ→π2 1-sinθ1+cos2θ

Q: My Solutions > After learning that the slope of the tangent line is the derivative of the function…

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Q: lim 241- Let f(x) = 2x - 3 if x > 1 Calculate the following limits. Enter "DNE" if the limit does…

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Q: a b= Note: Triangle may not be drawn to scale. Suppose a = 2 and A = 50 degrees. Find: C= B B = b…

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Q: Logarithm functions are one way of expressing diminishing returns. Many biological phenomena exhibit…

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Q: (0) +27= 10; 7(0) = 0,

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Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the…

A: Given data:- y=2xe-xy=0, x=4

Q: Consider the vectors: • V [2 1 -2] • w = [101] • π = [6 -3 -2] (a) Calculate projžū (b) Calculate…

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Q: Consider the function below. f(x, y) = In(x + y - 3) (a) Evaluate f(1, 3). (b) Evaluate f(e, 3) (c)…

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Q: 31. ผ n=1 √n + 3 n2 + 17

A: We need to find out the convergence of the series by the use of limit comparison test.

Q: K For the given function f(x) and the given values of cand e > 0, find L= lim f(x). X-C Then…

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Q: Evaluate the expression 3-³6².

A: Given, 3-362

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Q: 40 The sum of the reciprocals of two consecutive even integers is. Find the values of the integers.

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Q: values ( Vinx dx using the S 1 x method where Rom brook Equal A) 0-64lot Bo 65806 00-6637 O 6112 4=…

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Q: You are given that lim f(x) = −5, lim g(x) = 5, and lim h(x) = 4. x→a x→a x→a Find the limit lim [h²…

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Q: What is the integral of x(x + 2) dx? A. x³/3 + x2 + C B. x³/3 + x²/2 C. (x+2)/2 D. x³/3 + x²/2 + C

A: We know, ∫xndx= x(n+1)/(n+1) , for any real number n

Q: Find the solution to the given (y + x³y³) dx + xdy = 0¹ a. 2x²+y²(x-c) = 1 b. 2x² - y²(x-c) = 1 c.…

A: We will find the required.

Q: the lakrang. 3 foxy 2 2 7 True Erort

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Q: DIRECTIONS: Write down a differential equation of the form dy/dt =ay +b whose solutions have the…

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Q: 9. y = (1 + x²) Arctan x - 1 10. y = sin(Arccos x)

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Q: Find the derivative of the function. q' = 3/ 7 q=√x + 3x

A: Solution

Q: . Find the solution of the DE y' a. 2xy + Iny = c b. -2 /y-2lny = c c. 2xy + 2lny = k d. -2y+lny = c…

A: The given differential equation is; y'=y/[x+sqrt(xy)].

Q: 20.) Differentiate. f(x) = +3 -2

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Q: xy'= y inx

A: xy'=ylnx

Q: Identify and sketch the domain of f(x, y) = x-y In (1 + y - x²)

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Q: Q2: Use the substitution x² = sing to show that 1 √ √ ² x dx = [] 4√2TE

A: See this solution in below.

Q: -5 -5-4-3-2-1 Evaluate. 45 lim f(x) x-1 45

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Q: 1.) Graph the system of inequalities using the linear combination/substitution method (addition, not…

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Q: 18.) Find the derivative.

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Q: and the axis of the parabola.   ​f(x)=−​(x+3​)2       Question content area bottom left Part 1 The…

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Q: 12.) Using the result from Problem 11, find the equation of the tangent line at (-2, -1/2).

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Q: 2ly² - 4y + 5x = 21 FIND Y'

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Q: Verify if the following DEs are homogeneous, if it is determine its degree and solve the DE 4.xdy…

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Q: From the information given, find the quadrant in which the terminal point determined by tt lies.…

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