Find (f+g)(x)=? Domain of f+g is ? Find (f•g)(x)=

Q: The graph below is the function f(x) 8 Ju Find lim f(x) 2-3 Find lim f(x) 2-3+ Find lim f(x) z 3…

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Q: Find the derivative of the function. dy dx y = 3xe 4x || - ets

A: To find the derivative of the following function. y=3xe-4x-ex4

Q: 3. Let f(x) = c.(x-4)+2 if 0 ≤x≤4 if x > 4 where c denotes a real constant. (a) Show that lim f(x) =…

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Q: Let f be a continuous function on [-2, 8] such that f(-2) = ƒ(8) = 7. Which of the following is a…

A: Note :As per our guidelines we are supposed to answer Only first three subparts of a question.…

Q: Find the arc length of the curve below on the given interval. 1 3/2 y = 72/7 (9x² + 6) ³₁ on [3,9]

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Q: h) y secx= x tan y

A: given  ysecx=xtany we know d dx(secx)=secxtanxd dx(tanx)=sec2xd dx(a.b)=a×dbdx+b×dadx

Q: Use the given graph of the function to find the x-values for which ƒ is not differentiable. A Answer…

A: Given query is to find the values of x where function is not differentiable.

Q: Find the derivative of the function. 3 1 - + 1 2 + 2√x +8 +² g(x)

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Q: Consider the ODE: "-7y" -/+7y=0. Which one of the following is the general solution to this ODE?…

A: The given differential equation is: y'''-7y''-y'+7y=0 So, we can also write as: D3-7D2-D+7y=0   The…

Q: A cylindrical tank, shown to the right, has height 7 m and radius 3 m. a. If the tank is full of…

A: Given data: A Cylindrical tank, Shown to the Right, has a Height 7m and a Radius 3m.

Q: Find (A) the leading term of the polynomial, (B) the limit as x approaches ∞, and (C) the limit as x…

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Q: 2 2 Suppose ff(x) dx = 1 and f 9(x) dx = −5. 1 1 2 Evaluate f(-3 f(x) + 2 g(x)) dx. (- Remember to…

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Q: 3 Find an equation for the line that is tangent to the curve y=x²-9x at the point (3,0). The…

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Q: 9. Given the function f(x) = x³ - x and g(x) = x - 1, determine an equation for the the combined…

A: The given problem is solved below in detail.

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

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Q: 4. Determine the value of a so that the following function is continuous at x = 2. -2 h(x) = x²-x-…

A: A function is said to be continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(a)…

Q: Consider this ordinary differential equation (ODE): dy da At the point (-0.5, 1.5), the direction…

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Q: Find the slope of the tangent line to the parametric curve -4√2 X X = = 4 cos(t) y = 2 sin(t) at the…

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Q: 1. x52x²y³ + y² = 7 mi G

A: As per our guidelines we are supposed to answer only one question.kindly repost other questions as a…

Q: Use the quotient rule to differentiate the function x + cos x y = et

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Q: Given f(x, y) = sin(x + y) where x = s¹t5, y = 4s - 5t. Find af მs af Ət 11 11

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Q: Calculate R3 and L3 for f(x) = x² - 2x + 6 over [1,4]. (Give your answers as whole or exact…

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Q: First use the formula A-1 = A = Find A-1 76 98 ; b = ad-bc d -b -C a for the general 2 x 2 matrix A…

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Q: Give the reduced row echelon form of the augmented matrix. [14 -2 150] 0-5 3 100 26 -3 200 000 J

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Q: a) f'(x) if f(x) = 3 ln(x) 5

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

Q: A man invests his savings in two accounts, one paying 6 percent and the other paying 10 percent…

A: Given: Rate of interest of lower yielding=6% Rate of interest of higher yielding=10% Total annual…

Q: Let f(x) = ln(2e + 3). Then f-¹(x) equals None of the above 2/ln(e* - 3) In(e* - 3) In(e* - 3) In…

A: Note: Since, the student has posted two questions but the second question is incomplete. So, we are…

Q: e If xe5y + y¹ sin(5x) = 4* defines y implicitly as a differentiable function of a the dy Note: Your…

A: Given query is to find derivative.

Q: Given that Calculate f'(-1) = f(x) = x¹²h(x) h(-1) = 5 h'(-1) = 8

A: given  f(x)=x12h(x) h(-1)=5 and h'(-1)=8 differentiate f(x) with respect to x by chain rule  we get…

Q: f(x) = x2 + x and so f(1) = 1 + 1 = 2 We want to approximate the slope at x = 1 using the slope…

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Q: The quantity of oxygen that can dissolve in water depends on the temperature of the water. (So…

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

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Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: To find the value of the derivative at x=2.

Q: Find y'' for y = 4+ or y= (4 + ³) ³. X y"=0 3 5

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Q: For x = 7t² and y = 7 - 8t, find dy/dx. 1. dy -8 dt 2. de dt 3. dy dx 8

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Q: Find the derivative of the function using the definition of derivative. g(x) = √5 + 4x g'(x) = State…

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Q: 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim_f(x) = z 2 lim f(x)=…

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Q: Determine the exact solutions for x on the interval [0,2π). sin² x = sinx • cosx.

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Q: Given y = f(u) and u = g(x), find dy dx y = tan u, u = 11x +4 = f'(g(x))g'(x) = dy - = f'(g(x))g'(x)…

A: Given: Also, So,            dydx=ddutan(u)ddxu       =ddutan(u)ddx11x+4       =sec2u  (11)…

Q: Find the absolute maximum and absolute minimum of the function f(x, y) = 2x³ + y on the region {(x,…

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Q: Which of the following is a consequence of the Intermediate Value Theorem without further…

A: Given f is a continuous function on -2,8 such that f-2=-1 and f8=7 , The Intermediate Value…

Q: Find lim h→0 lim h→0 f(3+h)-f(3) h f(3+h)-f(3) h || - if f(x)=x² +2. (Simplify your answer.)

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Q: Let lim g(x) = -10 and lim h(x) = 6 x →4 x→4 Determine the value of the limit lim [9+√√xh(x) x→4…

A: Given:

Q: If f(x) = 5x arctan (3x³), find f'(x).

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Q: Consider f(x) = x² + 6x + 7

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Q: Learning Target D1: I can find the derivative of a function, both at a point and as a function,…

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Q: Find A and B so that f(x, y) = x² + Ax + y² + B has a local minimum at the point (5,0), with…

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Q: 3. Use the limit definition of the derivative to compute the derivative f'(x) for the function…

A: f(x)=5x-2according to defination of derivative f'(x)=limh→0f(x+h)-f(x)h

Q: 10 An accessories company finds that the cost and revenue, in dollars, f producing x belts is given…

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Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

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