f(x) = 3x² + 5√x - 10x²³²³+7³ -3 -3

Q: 3. Determine the following limit (tabulate). sin (t − 1) lim t1 t²+2t - 3 O-1/4 O None of the…

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Q: (x⁹ + x4)dx (x5 - 5)1⁰ s

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Q: The graph below is the function f(x) -5-4-3-2 Find lim z 2 19 NA Find f(2) Z -2 -3 4 f(x) Find lim…

A: Here we have to use the graph to find the limit of the function.

Q: if f(x)=-(sqrt(81-x^2)) find the domain and range answer in interval notation

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Q: 1. Find the general solution: y"

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Q: Use linear approximation to approximate ✓49.1 as follows. Let f(x)=√x. The equation of the tangent…

A: Tangent line equation of fx=x at x=49

Q: 1. Let f(x, y) = 4√√xy² + 4y +exy. a) Use local linear approximation to estimate 4√(0.1)(0.9)² +…

A: If f(x,y)  is a two variable real -valued function whose partial derivatives fx(x,y) and fy(x,y)…

Q: > Question 4 Which of the following statements is true? The slope of the tangent line to the curve y…

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Q: Find the limit using lim 0-0 lim y →0 sin 12y 5y sin 0 0 = 1.

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Q: 7. y = √√2x² - 4x +3

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: Solve the following for C. (Assume that C > 0) C (4x+8) dx 0 C = = 90

A: Given query is to find the value of C.

Q: Compute the partial derivatives: ?х 8z dy || 8x

A: Given that , z=8xx2+y2 find the partial derivatives.

Q: 4. y= 4-9x 4+9x

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Q: (d) The area of the triangle AKMN is A=25-√√3 in². If <MKN = 30°, find |KN|=|MN|= ?

A: Given , A(∆KMN)=253.|KN|=|MN|∠MKN=30°

Q: Find an integrating factor for the D.E. (2xy³ – 2x ³y ³ − 4xy² + 2x) dx + ( 3x²y² + 4y) dy = 0

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Q: The differential equation (x²-y²) y'= 2xy is not an Exact D.E because the partial derivatives of…

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Q: function of x and y sın (x²₂ + y²)+2x³=yz²+2, If z is a differentiable satisfying the equation find…

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Q: Find the G.S. (y2-2xy + 6x) dx - (x2 - 2xy +2) dy=0

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Q: f(x) is graphed below. Find each value. 10+ 9 8 7- 10-9-8-7-6-5-4 f(x) = lim 2115 lim f(x) = lim…

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Q: (cos x-cosy-cotx) dx-sinxsiny dy=0

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Q: Use the integration by parts to evaluate the following integral by assuming u = 6.³ x² dx (cos x + x…

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Q: etermining the Maximum and Minimum Values of Quadratic Functions rocket is launched in the air. Its…

A: Given query is to find the maximum height attained by the rock.

Q: f(0) =2, lim f(x) = 2, lim f(x)= lim f(x) = ∞o, lim f(x)= ∞o, and lim f(x) = -00 X4±8 x+37 x-3* X-3+…

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Q: 44. Suppose that f(4) = 2, g(4) = 5, f'(4) = 6, and g'(4) = -3. Find h'(4). (a) h(x) = 3f(x) + 8g(x)…

A: Simply use differential formula and we can easily solve it Please see the solution Thanks

Q: 1. Given the function y = x4-2x²: a. Determine the maximum point/s. a. (0,0) O b. (-1,-1) O c.…

A: In order to check maxima and minima we have to differentiate given function twice and check for sign…

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form…

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Q: lim sec(x) + 7 (x, y) → (0, π/4) 4x - tan(y) sin (1) + 7 4 tan (4) X

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Q: The number of toy kangaroos, K, in a toy box after 't' days is given by K=t2+20t. a) determine the…

A: Topic:  Application of derivatives , rate of change     The answer is given below:

Q: determine an equation in factored form for a polynomal function with zeros -1 (order 2) and 3 (order…

A: zeroes -1 (order 2)  :  factor ( x+ 1 )2 3 (order 3)  : factor ( x - 3  )3

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given  y=3x5-3x4+7x3-5x2+x-8 We know that d(xn)dx=nxn-1

Q: A manufacturer produces bolts of a fabric with a fixed width. A quantity qq of this fabric (measured…

A: I am attaching image so that you understand each and every step.

Q: Evaluate the integral. (Use C for the constant of integration.) in² (7) dt

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Q: The daily cost (in dollars) of producing LG ultra high definition televisions is given by C(x) =…

A: We have that, The daily cost (in dollars) of producing LG ultra high definition televisions is given…

Q: Find the limit. lim X-0 lim X-0 2+5x+ sin x 3 cos x 2+5x+ sin x 3 cos x (Type an integer or a…

A: To calculate limit put the value value of x and simply calculate it Please see the solution in next…

Q: y = tan-¹(7x)

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Q: C(x) = 6x³ 30x² + 80x + 1600 where x denotes the number of thousands of televisions produced in a…

A: Given query is to find average cost and marginal average cost.

Q: Find the area of the shaded region. 4 3 2 f(x)=x- 8x +21x, g(x)= -14x + 136

A: We can find the area of the shaded region using the required formula in the below steps.

Q: Set up and evaluate the definite integral required to find the area of the region between the graph…

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Q: The graphs of 2 = 8, y = g(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to…

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Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 2. y =…

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Q: A tank with a capacity of 300 L is full of a mixture of water and chlorine with a con- centration of…

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Q: D Question 5 Find dy/dx, given the following: y = | L y P (x²+2x)² 3 (3x²+2) (2³+2x)² + = V (2x-4) 2…

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Q: Given the demand equation x + -- 20 = 0, where p represents the price in dollars and x the number of…

A: given demand equationx+p8-20=0

Q: y (8x² + 11x-4) 1¹0

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Q: Question 7 In the Four-Step Rule, which among the steps is the most important, upon which the…

A: A differential equation is an equation that involves a function and it's derivatives.

Q: 1. Given the algebraic function x² - xy + y² = 3 a. Find dy/dx v= O Option 4 y Option 2 y - 2x 2y +…

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Q: 9-x² x 3 7₁ x=3 b. Find lim f(x) and lim f(x). X-3* X-37 c. Does lim f(x) exist? If so, what is it?…

A: On solving this we will get

Q: We can use the quotient rule to calculate the derivative of sec(x). O True O False

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Q: On a routine inspection of the water system of Cincinnati, Fernanda discovers a pipe leaking at the…

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