Let f(x) = 9 cos x - 4 tan x f'(x) = ƒ(7) =

Q: Find Vector Components using Trigonometry 60° ||C||=21 2 Find the EXACT components of the vector…

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Q: Q-1: Solve the equation and check for extraneous solutions. Show all work. √√2x+1+5 = 0

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Q: Use the graphs of f and g to evaluate the functions. 3- (b) 2 - (a) (f + g)(1) (f/g)(2) -f(x) 2 3-…

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Q: Find f'(x) and f'(c). Function f(x): f'(x) = = f'(c) = = (x5 + 3x)(4x5 + 2x - 2) Value of c c = 0

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Q: Find the equation of the curve whose third derivative is equal to -3 and which has at x = -1 a point…

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Q: 1. Find the solution of the d.e. x²y" - 2xy' + 2y = 4x³ which passes through the point (1,4) with…

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Q: Find g'(4) given that f(4) = 3 and f '(4) = −5. g(x) =√x  *f(x))

A: f(4)=3, f'(4)=-5g(x)=sqrt(x). f(x)find g'(4).

Q: X Consider the functions f(x) = 4x - 8 and g(x) == +2. 4 (a) Find f(g(x)). (b) Find g(f(x)). (c)…

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Q: x-values of inflection points of f,

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Q: - Find sec(y) tan7 (y) dy. S .

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Q: Part 1: Standard and Slope Intercept Form 1. Label the following linear functions with either slope…

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Q: The half-life of strontium-90 is 28 years. Suppose we have a 44 mg sample. (a) Find a function that…

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Q: Find the following. f(x) = x², g(x) = 3x - 7 X = 2 (a) (f+g)(x) = x² + 3x - 7 2 (b) (f-…

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Q: Use the graph of f and g to graph h(x)=(f+g)(x) (Graph Segments with closed end points)

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Q: If v = (1, 0, -1) and If w = (2, 1,0), what is vX W? (−1, 2, −1) (1, —2, 1) (2, -4,2) O(-2,4,-2) All…

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Q: Example 9 6 L 2 45 Determine what interals are discontinuous & explain your reasoning. (2) give 3…

A: Note: “Since you have posted multiple questions, we will provide the solution only to the first…

Q: How much work is required to move an object from x = 1 to x=3 (measured in meters) in the presence…

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Q: Determine the Scalar Form of the plane and the exact intercepts. the Scalar Form of the plane is :.…

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Q: Use logarithmic differentiation to find dy/dx. (x + 1)(x - 2) (x – 1)(x + 2) dy dx II y = x>2

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Q: Calculate the period of this function: y = 5 sin(2x + 3)

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Q: Evaluate dy dx and dy dx lx = 2 if y= X + 1 x + 2

A: given

Q: 7. (2x - 1)5 lim x → +∞ (3x² + 2x - 7)(x³ - 9x)

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Q: uppose a company's revenue function is given by R(q) = −q³+330q² and its cost function is given by…

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Q: 7. Describe the graphs of the following equations. Include a rough sketch of the basic shape of the…

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to graph…

A: Fin

Q: Verify that f has an inverse function. Then use the function f and the given real number a to find…

A: The given function is

Q: Find the area of the region under the graph of the following function f(x) = 4xex from x = 4 to x =…

A: The given function is,The given limits are x=4 to x=9So the lower and upper limits are a=4 and b=9

Q: Solve the given equation in the interval [0,2 π]. Note: The answer must be written as a multiple of…

A: We have to solve the equation for the given interval.

Q: In each part, complete the table and make a conjecture about the value of the limit indicated.…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: (a) Solve f(x) = 0. (b) Solve g(x) = 0. (c) Solve f(x) = g(x).

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

Q: Given the equation: 2x2 + 2y 2 + 12x -8y - 3 = 0 Use completing the square method to first convert…

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Q: The partial fraction decomposition of f(x) = g(x) = 80 x² 4 can be written in the form of f(x) 2 X-…

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Q: Form a polynomial whose real zeros and degree are given. Zeros: -2,-1,4, 5, degree: 4 Type a…

A: Given that the zeros are −2​, −1​, 4​, 5​So, the factors are (x+2), (x+1), (x-4) and (x-5). [because…

Q: ketch the region enclosed by y = 2x and y = 5x². Decide whether to integrate with respect › x or y.…

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Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

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Q: dy x²-3xy² Given = dx 3x²y-6y²-1 determine the function f. and f = f(3xy² - x²) + g(y); y = constant

A: Mdx + Ndy = 0 ----?(1)is exact,

Q: 5. Applying integration by parts once to to [6x¹-1e8x dx produces the reduction formula: [6x²-1…

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Q: 3. Find and simplify a. f(x)=3x² +5x b. f(x)=2x-x² K f(a+h)-f(a) h for each of the following…

A: (a) f(x)=

Q: (f) / 10 x² (x² + 1)³/2 dx using the hyperbolic substitution = sinh(t). You may leave your answer in…

A: The given integral

Q: Define the domain and range of f(x) where f(x) = ²x - 2 Select one: Domain (-0, 0) Range: (0,00)…

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Q: Use the Chain Rule to find az/as and az/at. z = tan(u/v), u = −8s +4t, V = -2s +9t

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Q: Use logarithmic differentiation y = x√ x² + 48, x > 0 to find dy/dx.

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Q: Determine whether the following function is a polynomial function. If the function is a polynomial…

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Q: Use the function f(x) = |x-3 | for questions 10-15. 10. Graph f(x) in the space provided, then write…

A: The given function is

Q: Find two functions f and g such that (f. g)(x) = h(x). 1 x + 4 h(x): = (f(x), g(x)) =

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Q: 43. A derivative formula a. Use the definition of the derivative to determine d (ax²+bx+c), where a,…

A: a. Use the definition of the derivative to determine d/dx (a * x ^ 2 + bx + c) where a, b, and c are…

Q: Solve the question using Matlab k 5. Determine : 0 < kER, that dx = k. Tip: Calculate the integral,…

A: Given: and  The aim of the problem is to solve the given integral and find the value of k.Formula…

Q: Find values of x, if any, at which the given function is not continuous. (a) f(x) (b) f(x) = |x³ -…

A: Find the x values where the function is not continuous.

Q: Suppose that while waiting for a big wave, a surfer is being propelled toward the beach in such a…

A: Velocity is the derivative of distance.

Q: Assume lim f(x)=22 and lim g(x)=5. Compute the following limit and state the limit laws used to…

A: It is given that, .Difference Rule:If exist, then the limit of difference is .