Oct 26, 8:38:14 PM Write a function in any form that would match the graph -10 -8 -6 Answer: f(x) = -4 -2 50 40 30 20 10 -10 -20 -30 -40 2 4 A 6 10

Q: Find the equation of the tangent line to the curve y = 4 tana at the point (7,4). The equation of…

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Q: (2, 4) & (3, 5) xy xy -1 −1 Slope in context 4 − 5 2-3 || 1

A: To find the slope with given points.

Q: 5 5 Find the derivative of the function s = cos (9t) + 9 -sin (3t). 3x

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Q: Consider the integral 9 -10 Lyde dx If the integral is divergent, type an upper-case "D". Otherwise,…

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Q: Sketch the graph of the function below, including correct signs, x-intercepts a intercepts. f(x) =…

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Q: Given f(x, y) = then V 2e4* sin(3y) 4x ▼ ƒ(0, 1) = 2

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Q: 2) f(x) = sin−¹(x + 1) + ½/ Table: y = sin ¹x Transformations: D: R: X

A: y= Sin-1x

Q: 14. Which of the following is an approximate equation of the line tangent to the graph of f(x) = x²…

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Q: Condense log(x-1)-log(x+2)=0.1

A: need to condense the logarithmic function.

Q: 1 2. Find all critical numbers of ƒ(x) = x³ + x¹ −4x³+3. Classify each as a local max, local min, or…

A: On solving this we will get

Q: This is incorrcet. The graph is correct but p(x) and the minimum is incorrect

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Q: A. Find the orthogonal trajectory for the family of straight lines passing through the point (1,1).…

A: Concept: We differentiate the given family of curves with respect to x on both sides and get the…

Q: Find dy if y=sin(x) cos(x). dr2

A: To find double derivative of given function

Q: Consider the following function, f(x), on the interval [-1, 8]. Absolute Maximum 1. Find the x value…

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Q: fave = (b) Find c in the given interval such that fave = f(c). (Enter your answers as a…

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Q: Graph the function f(x) = 5ª by moving the key points. You can only graph integer points. For…

A: For detail...ho through the solution...I have done solution in detail

Q: state the axioms that define a ring.

A: Consider R to be a non-empty set with two operations '+' and '.' Addition operation: For any a, b ∈…

Q: If f(x)= f'(x) = f'(4) = = 3 tan x X " then

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Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 9 about the x-axis.…

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Q: 2. Solve the following integral [(secx a. tanx + secx + C O b. secx - tanx + C O c. tanx - secx + C…

A: formula used  ∫sec2x dx=tanx +c∫sec(x)tan(x)dx=sec(x)+c

Q: Find the work done by the force F = 9xy i+ 12y²j acting along the piecewise-smooth curve consisting…

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Q: Determine the horizontal asymptote of the function. If none exists, state that fact. 4x5 +5x³-4 6 3x…

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Q: 7. Compute fa, fy, and fz. (a) (x² + y² +22)-1/2 Straight forward (b) sin-¹(xyz) Straight forward…

A: Please see the below picture for detailed solution.

Q: Find the short test distanse between the two curves y = Sinx ² and x² + y² where the interset 2…

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Q: Convert the polar equation to a rectangular equation. 15 sec 0 5 sec 0 + 1

A: Given query is to convert the equation into rectangular form.

Q: Consider the following function. f(t) = 70e0.4t (a) Find the relative rate of change.       (b)…

A: Given query is to find relative rate of change

Q: 10 & 16 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum…

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Q: Let f(x) = x³ + 6x² (a) Use the definition of a derivative or the derivative rules to find ƒ'(x) =…

A: Given function:- fx=x3+6x2-96x+19

Q: 1. Suppose f is differentiable everywhere, f(0) = −1/2, and f' is graphed below. 1 X پر 2+ (a) Find…

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Q: Match the graphs with the corresponding formulas. 1. Sn = 3/n ? ? ? ? 2. Sn=3+ (-1)"/n ✓3. Sn =…

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Q: 3 B. C. provide D. The Line A. -42-5 A. (-10,-10) B. (-5,0) C. (0, -5) D. (-5.-5) x²- Find the 202-6…

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Q: -6 -5 -4 -3 -2 -1 2. f''(x) > 0 8 6 4 2 3. f''(x) < 0 -4 -6 -8- -10- 1 et 2 From the function…

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Q: Find the limit. use I'Hospital's Role 3 ln(x²) (d) lim x-1 x² - 1

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Q: 9. Use the Second Derivative Test to find the relative extrema of g(x) = 6x3 + 9x2 − 36x

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Q: 4y³ (x²+4) dy + 4xy+ = (x² + 4) ² dx

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Q: Differentiate f(x) = 8√√/5x6 + 6x¹. Simplify your answer and enter it without fractional or negative…

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Q: The graph of f' is given Assume that f is continuous and determine the x-values corresponding to…

A: Given question:- We have to find local maxima and minima point with the help of function's first…

Q: The given figure shows the graphs of the first and second derivatives of a function y=f(x) Sketch…

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Q: 4 [ (2x³ + 5x) dx with n −1 = 10 steps

A: Given question:- Find an upper bound for ET in estimating A 5 B 5/4 C 10 D 64/25

Q: 1) The braking distance of a vehicle is defined as the distance travelled from where the brakes are…

A: Given:  s= speed of truck d= braking distance --------------------------------------------------…

Q: What is the exponential function of the graph shown below? Provide your answer below: f(x) = -2. -2…

A: Given graph

Q: 2. Use integration in polar coordinates in order to compute the double integral zy³ dA, where D is…

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Q: For y = tan -1 (*² + 4) 7 dy find dx and simplify.

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: A Differential Equation of the form dydx+h(x)y=g(x)yn is called a Bernoulli differential equation in…

Q: How many x-intercepts would the function shown below have? f(x) = (x² − 5)

A: given that,   f(x)=x2-5   how many x-intercepts would the function have?

Q: ԱՆ JS 12x + 3y² dA R es x = y² and x = 9.

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Q: Calculate the derivative of the following functions. Use the rules for derivatives. a. w(x) = x² +…

A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Find the equations of the tangent line and normal lines to the graph of the function f(t) = et + 4…

A: To find the equation of tangent and normal.

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

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Q: Let f(x) = √3x² + 2x + 7 ƒ'(x) = f'(1) =

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