lim x 3 x²+2x-15 x-3

Q: Find the equation of the tangent line 7 to the graph of f(x)= 7 sinx at the given point (3,7sin3).…

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Q: Problems #4-7: Write an equation to model each scenario. 4. The total cost C of an item selling for…

A: the total cost = $8400 increased by 7% plus $9.25 for each item produced

Q: 7. ydx -(x + √ y² = x² X = 1 1=6 dy = 0

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Q: 2 1 -5 -43 -2 -1 A -2 2 3 4 5 Assume the graph continues in the indicated directions. The function…

A: Given graph of function

Q: Let f(x) = ex - 1 - 7x

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Q: Question Watch video Given the function f(x) = 4x4 - 24x², determine all intervals on which f is…

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Q: Consider the following. f(x) = (4x)² (a) Sketch a graph of the function f. 6 -8 -6 -4 -2 2 4 -2 2 N…

A: The given function

Q: 4. sinx-siny dy + cos x-cosy dy The ㅠ X = 6 = T|Y प = 0

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Q: Find the second derivative of the function. f(x) = 5(2-7x)*

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Q: Find the domain of the function. h(x) = 7-3 log [ 3-8] 7 The domain of h is. (Type your answer in…

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Q: If f(t) is continuous for t≥ 0, the Laplace Transform of f is the function F defined by [₁ and the…

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Q: Find the indefinite integral and check the result by differentiation. Step 1 Observe that 7 10x -…

A: To find the indefinite integral and to check the result by differentiation.

Q: Find the equation of the line passing through (1,5) and parallel to the line passing through the…

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Q: 81. The original Ferris wheel, built in Chicago in 1893, completed 4 revolutions in 40 minutes. Find…

A: There are revolutions in Here we have to find the angular speed

Q: 0 x√3x + 1dx

A: To evaluatethe following integral.

Q: solve the DE using VSDE, HDE, or EDE. Identify also if VSDE (Variable Separable DE), HDE (Homogenous…

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Q: a) Compute the rate of change of the function f(x, y) = x² + 2xy + y² at the point (2, 1) in the…

A: We have to find -rate of change of function in direction of point (3,0),rate of increase.

Q: Use the Fundamental Theorem of Calculus to evaluate the definite integral. Use a graphing utility to…

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Q: Question 17 If h (z) = (3z find h'(z) (3z – 15)e¹³z,

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Q: The graph below is the function f(x). Find the values of the limits below. If a limit does not…

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Q: Use the graph to state the absolute and local maximum and minimum values of the function. (Assume…

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Q: When getting the points from symmetric equation, do we just do x = x0 or we have to divide it by x =…

A: To find the vector ,parametric and symmetric equation of line passes through point  and parallel to…

Q: Differentiate the function. Dy/dx y=1/(5x+8)^3

A: y=1(5x+8)3

Q: Complete the description of the piecewise function graphed below. -7 -6 -5 4 -3 H f(x) = -2 -1 1 if…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: lim 848 ន x+1 ឃ

A: To find:-

Q: -5 -4 3 -2 -1 2 7 -2 2 3 4 5 The function graphed above is: Increasing on the interval(s) Decreasing…

A: Here the given graph is,we have to find the intervals where the function of the graph is increasing…

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

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Q: Use differentials and the graph of f to approximate the following. (Round your answers to three…

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Q: Let f(x) = = - (²+3)² x+5 f'(x) =

A: The given function .The aim is to find the derivative of the function.

Q: (x² + y²) dx + xy dy x=1 y = 2 =

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Q: Find the points on the cone z2 = x2 + y2 that are closest to the point (6,2,0).

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Q: 6. (x² + y²) dx + xy dy - x = 1 C= Ja y = 2 or 9 O= √3

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Q: Evaluate the limit, using L'Hôpital's Rule if necessary. sin 5x lim x→0 sin 8x Step 1 The limit to…

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Q: Find the area of the region enclosed by the curves y = || and y = 2

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Q: dy dx x=a (4+h)¹ - 256 h The limit below represents a derivative lim h→0 . Find y = f(x) and a.

A: The derivative of a function f(x) at x=a is given byf′(a)=limh→0f(a+h)−f(a)h

Q: Find the equation of the line with slope 1/4 and passing through the point (-1,3)

A: The equation of a line with slope, m and passing through a point (x1,y1) is given by  y - y1).

Q: A particle is moving along the x-axis. The position of the particle at time t is given by x(t) = t³…

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Q: To find the surface area of of revolution, we need to make two decisions: [2my ds [20 i) Shall we…

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Q: Find a formula for the sum of n terms. Use the formula to find the limit as n → ∞⁰. n - (+4X(²) lim…

A: limn→∞∑i=1n(8+in)(2n)

Q: If a rock is dropped from a height of 232 ft, its poistion t seconds after it is dropped until it…

A: Given :           The rock is dropped from a height of 232 ft.            s(t) =-16t2+232

Q: 11. xy"+y' = 0; y₁ = ln x

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Q: The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

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Q: For y = 3x - 3x³ +6x, find d5y 5 dx

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Q: Let f(x) = In[x4(x +9)6(x2 + 4)3]. Find f'(x). f'(x) =

A: Given,

Q: Find the tangent line to f(x) = x^2 +1 that is at right angles to the line y=2x-1

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Q: Suppose R '(1) = 6. (a) If f(x) = R(4x), find f f' (1/1) 4 || (4). (b) If g(x) = R(x + 2), find g…

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Q: Use implicit differentiation to determine an expression for dy dx if y√x+1 =

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). r(t) = 5t²i - 5tj + 3t³k 2 2 (a) r(t) (b) r"(t)…

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Q: To find the surface area of of revolution, we need to make two decisions: S = √2πz i) Shall we use S…

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Q: Find the critical numbers of the function. g(t) = t√13-t, t < 12

A: To find the critical numbers of the following function.