Use the graph to find the following limits and function value. a. lim f(x) X→2 b. lim f(x) X→2* c. lim f(x) X-2 d. f(2) 2- 2 X

Q: Evaluate the integral. Answer= +C -22e-30 e2x + 6e +5 12276 -da

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Q: Given that f(x)= Only one item from the answer bank will be used to complete each category. Not all…

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Q: ii) Read the graph below and say whether limx→-3 f(x) exists: y=h(x) -9-8-7-6-5-4-3-2 9876 8+ 7+…

A: This is question of calculusHere graph is given We have to find limit of function.Further…

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Q: 6. Let f(x, y) = sin(x + y). Answer the following questions. (a) ) Find the gradient f(x, y). (b)…

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Q: If u and v are the vectors below, solve the following equation for the vector x. 2 4 u= -1 v=|–1 5…

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Q: 1 V₁ V2 = 2(+/-+- (1 (v₁/v₂) = 2 sin = -2V²-V²_2₁ Z₁ cos 1 =2²₁√√√√²₁ X Z₁ + V/₂ √/1-(V₁/V₂)² V₂ V2…

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Q: Given that f(x)=√√16-x² and g(x)=x+4, what is the rule and domain for (+)(x)₂ Only one item from the…

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Q: cb+2π f" sin z dz = Sov20 a+2π a sin x dx

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Q: a 5. At 2:00 PM jogging at 8.5 mph. starts from the same place, heading East at 60 mph. the driver…

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Q: Find the area of the shaded region. y 3 2 1 (1, 1) 2 y = ³x y || 4 1 X 6 X = 8 CO 8 X

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Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: 5 4 --3- 2 -1

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Q: Evaluate the derivative of the following function. f(x) = 2x sinh − 1x − 2/x+1 f'(x)= 2 arcsinh(x)

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Q: Evaluate. n=1 2n+4 7n

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Q: 4. a. Find the maximum and minimum points for the following. 2 f(x) = 3x3 - 2x b. f(x) = (x² - 9) ³

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Q: TO Find the length of the curve y = In (2 sec x) for 0 ≤x≤ xs 6 The arc length of the curve is (Type…

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Q: 12 X 10 -1 2 3 f(x) 6 3 0 1 g(x) 3 -1 -3 2 f'(x) 5 -3 0 -2 g'(x) -2 2 0.5 The table above gives…

A: Given,  h(x)=f(g(x))

Q: Evaluate the integral by converting to polar coordinates. 2 √8-y2 S² S Y 1 √1+x² + y² dx dy= = 16pi

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Q: Evaluate the following limit. lim 8+←8 15 ln x X = Note: Input DNE, infinity, and -infinity for does…

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Q: If f(x) x = [²₁ 1 = = then ƒ'(x) = ƒ'(−2) = tadt

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Q: 2) Find the solution of the given initial value problem in explicit form. Plot the graph of the…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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Q: Let f(x) = 2x + 3 and g(x) = -3x - 6. Compute the following. (a) (fog)(x) (b) (fog)(9) (c) (gof)(x)…

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Q: Let f(x) = 5 − 3x²2 and g(x) = x + 5. Compute the following. (a) (fog)(x) (b) (c) (e) (fog)(-1)…

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Q: An island is located 42 miles N26°10W of a city. A freighter in distress radios its position as…

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Q: Consider the curve r(t): = og(t)i + e-tj+ + 5k for t > 2. Calculate limt →+∞ r(t) (if it exists). е

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Q: -4-3-2 VA 3 2 1-2 x = – 1 y = 1 3 4 5 x x = 2

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Q: Use a linear approximation (or differentials) to estimate the given number sqrt(99.2)

A: SolutionLet f(x)=√x and use the linearization at a=100

Q: 4. Let f(x, y) = (a) (1,-1). Find the slop of the surface z = f(x, y) in the x-direction at the…

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Q: differentiate y(theta) = e^cot theta

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Q: Find the solution of the following problem. y' - (x + y)(x + y +3) = 1

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