Turning Points, Increasing, Dec 1. Below is the graph of the function f(x). Answer the questions below based on its graph. -30- -20 -10-

Q: (c) 2e²x + 3xe* = 0,

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Q: Prove the identity. sin²x 1-cos.x +1+cos.x Note that each Statement must be based on a Rule chosen…

A: To prove:- sin2x1-cosx=1+cosx

Q: if F(x)=cos√x^2+2, find two functions f and g such that F(x)=(f o g)(x).

A: This question is based on the composition of functions

Q: 2. The equation f(x) = 4cos(45(x − 2)) + 7 describes the depth of the water in a harbour, in terms…

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Q: 5. Let F(x, y) = ei + xej be defined on a smooth curve C given by the vector function r = ti + t²j…

A: The given vector field is : F(x,y)=eyi+xeyj  It is defined on a smooth curve C: r=t i+t 2j for 0≤t≤1

Q: Prove the identity. cot²x cscx+1 =cscx-1 Note that each Statement must be based on a Rule chosen…

A: We have to prove given identity.

Q: Find x and y in terms of a x + y = 0 x+ay =9 a does not equal 1 x,y =

A: See this solution in below

Q: For f(x)=3-x and g(x) = 3x +x+4, find the following functions (fog)(x); b. (gof)(x); c. (fog)(3); d.…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: (3) Evaluate the definite integral i r8 x+x² dx.

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Q: Determine the symmetry with respect to the ?-axis, ?-axis, and the origin for the given equations.…

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Q: Complete the following. (a) The graph of y=f(x) is shown. Draw the graph of y=-f(x+4). -8 -6 -4 -2…

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Q: In the set of all strings of eight uppercase letters (possibly repeated) from the English alphabet,…

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Q: Find all values c such that lim x-2 2c²x 5c +1 x²-3x + 2 - exists. (a real number)

A: We say a limit exists if right hand limit and left hand limits are same. We have…

Q: Given the series n=1 3″ n 1. an (Express numbers in exact form. Use symbolic notation and fractions…

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Q: 26. lim h→0 27. lim t-0 29. 28. lim t-0 Answer √1+t-√1-t t ·2+h)² +2-¹ h (17-0²-²1) t + t 4-√√ lim…

A: Fiest simplify then apply limit

Q: The cost, in dollars, to produce a designer dog leashes is C(x) = 7x + 1, and the price-demand…

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Q: How did he get the value inside the circle SA sin² wr (* 1- (Cose = sin²0) 8A W27 4 2 AC x 4 2 N/ AC…

A: Given 8Aω2τsin2ωτ4

Q: Consider the following. f(x) = = 8 - 2x, 3, x ≤ 2 2 < x < 4 x 24

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Q: (b) 1 3 -6 1 -2 05 Find (i) K if C D¹ C = 10K If D= C: third coulum of D and I: unit matrix (ii) a…

A: The given matrix is; D= 1 -2 0       3 -6 1      -2 0 5.

Q: 1. Let f(x) be the piecewise defined function as follows: (x-1, f(x) = {2, In your group, decide on…

A: To check whether an expression is a function, make a vertical line and observe how many times that…

Q: Use integration by parts to evaluate the integral: [2¹¹ ln(a) dx =

A: ∫(1stfunction).(2nd function)dx=(1st function)∫(2nd function)dx-∫ddx(1stfunction)∫(2nd function)dxdx…

Q: 1. dy dt 2 3 14 S I = lim At→0 =lim At 0 = lim - At→0 = lim lim At→0 f(t+At)-f(t) At 2 -7. 2 +At At…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The value of the limit A = lim n-x is equal to the area below the graph of a function f(x) on an…

A: Given function limn→∞∑i=1nπ4ntaniπ4n

Q: Use the slider to graph the standard position angle, then write the radian measure in degrees. 5T 6…

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Q: A fruit stand down in Oregon sells crispy red apples for $2.30 each and imported oranges from…

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Q: If f(x,y)=x²y³+x4y, find f XX 2y³ + 12x²y 2xy³+4x³y □ 6x²y 6xy² + 4x ³

A: Topic = Derivative

Q: Differential Equations Find the Particular Solution of (16x+5y)dx + (3x+y)dy = 0. If the curve to…

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Q: -5x 4)Find the Taylor Series for e³* about a = 1

A: The given function is e-5x about a=1.

Q: Question 5 3 cos(A) = Q Note: Triangle may not be drawn to scale. Given the triangle above, answer…

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Q: The cost to print tote bags to sell to faculty and staff is $160 for the printer fee and $4 per bag.…

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Q: let f(x)=-2x^2-x, and let g(x)=f(x)-f(-1)/x+1, x not equal to -1. find g(10).

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Q: Express u = (3,-10) as a linear combination u = rv + sw, where v = (5, 1) and w = (1,−1). (Use…

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Q: 188. [T] f(x) = secx, x = 4

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Q: if f(x)=√x−3 and g(u)=e^u=e^u+3 (a). find (f o g)(u) (b). find (g o f)(x)

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Q: (3 − 4x)12 dx

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 36 25 + ula 6 5 25 + + + 6 36 : =

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Q: Ryan is pushing a cart up a 45 m airport passenger ramp with a constant force of 250 N. The ramp is…

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Q: Let v = PQ, where P = (3,5) and Q = (9, 10). What is the head of the vector v' equivalent to v based…

A: Given vector is v=PQ→, where P=(3,5) and Q=(9,10).

Q: Use the information to evaluate the limits. lim f(x) = 64 X→C (a) lim f(x) X→ C (b) lim f(x) x→c 48…

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Q: Find each indicated quantity if it exists. Let f(x) = for x 1 . Complete parts (A) through (D). (A)…

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Q: F(W) = + [TS(W-5) + 3 (W-5) +TS(W+5) + = 1/2 [717 S(W_S) + TS(W+S) + = [TT-S (W-S) + -S(W-5) + πTS…

A: The term in the circle is wrong. I have showed the correct term which should come after simplifying.

Q: Ду Use the graph of g to determine lim g(x). x-0 2 1.5 1 0.5 0 -0.5 -1 -1.5 -2 -2.5 -3 -3.5 -4 The…

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Q: 10 8 6 4 S •

A: Limit of a function at a point exists if left hand limit and right hand limit at that point are…

Q: 1₁ -1.2 - St 0 √x sin ex dx

A: Given :   I1=∫01.2xsinex3dx

Q: 44° x= 90 NOTE: The triangle is NOT drawn to scale. Answer the following: Round your answer to 3…

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Q: The point P(1, 1/9) lies on the curve y = x/(8 + x). If Q is the point (x, x/(8 + x)), use a…

A: Solution:

Q: 1. limx→4 4x-x² 2-√√x t²+3t+2 2. limt-1 2-t-2

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Q: 1. Solve the following complex roots and plot the solutions if

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Given that 3 -2 1 A= 5 0-2, B = 40 1 14 Evaluate T -3A + 2B 81 -2 4 2 9 -

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Q: 6. a. Use an x-interval of 0.0001 to determine the instantaneous range of change of the function…

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