Given the function below find the value of f(-5). * [2x² + 1 if x < -5 f(x) = x - 3x-2 if x>-5 33 NONE OF THESE -78/25 O 51 -67/16

Q: e-2 h(x) 1 + e(3x² + 8) %D is e-2(-2)(1 + e(3x2 + 8)-e(3x² + 8)(6x)(e=2) O h'(x) = (1 + e' e(3x2 +…

A: Given query is to find the derivative of the expression.

Q: Use the identities cos 20 = 1 – 2 sin? 0 = 2 cos? x – 1 to help evaluate the integrals. | NOTE:…

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Q: Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t= 8 %3D T(8) = | %3D N(8) =

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Q: Evaluate the following integrals: 1. So? 2. cos 2x dx

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Q: 3) Given f(x) =-2x -2x-2, find the absolute maximum value over the interval [0,6].

A: We have to slove the above question and find absolutely maximum value

Q: Find the value of a in the vector i = (a, b) if b = 48 and ||ū|| = 50 %3D v is in Quadrant I

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Q: Find the exact length of the curve. 1 + x?)3/2, 0sxs2 y

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Q: dy Find of y = /2u – 9; u = x² – 9 dx Type your answer without fractional or negative exponents. Use…

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Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x) = 2(x+2)2…

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Q: Question Consider the function f(x) = 2 tan (x) – 3 over the interval Does the extreme value theorem…

A: Given function f(x)=2 tanx -3     ;  -π3 , π3

Q: nd the total area of the shaded regions. Ay 25 y= X 25 = 20- 15 10 5- -8 -4 -2 (5- 9. -10- 寸

A: Given query is to find the total area of the shaded region.

Q: Choose the point which shows the correct location for the polar coordinate (1, ). 90° 2 WIN 135°…

A: Given query is to find the point of the coordinate.

Q: Second Derivative Test. Consider the function f(x,y) = 2xy + 3ln(x) + 10y (a) The critical point of…

A: The given function,   f(x,y)=2xy+3ln(x)+10y

Q: dy Find dx for y=xJ csct dt. | dt +|(Type expressions using t and x as the variables.)

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Q: given f (x) = 3/5 cos (6x), what is the smallest possible value for f (x)?

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Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). f(C) = - (x + 1) (x² + 1) (3x² –…

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Q: 6. If f(x) = 7 + + find f'(x). Find f''(x).

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Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

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Q: P(t) = P,elin(2) · t) where t is the number of subdivision periods (time), and P(t) is the size at…

A: Given P(t)=P0  et ln2

Q: Find the length of arc of the given curve.

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Q: Consider the following function. f(x) = -x2 - 10x – 9 Find its average rate of change over the…

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Q: Object Height. Suppose an object is thrown straight up from the ground. The height after t seconds…

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Q: 6. Rewrite the following as a single trigonometric function: sin? x COS x + COS x (Hint: Use the…

A: Topic = Trigonometry

Q: 30 If g(y) - (v- 11y + 18) lly + 18)*, find g'(y) = 30(v - 1ly+18) ) 29 (2y – 11)

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Q: 4 3 2 -6 -5 +4 -3 -2 -1 -1 1 3 4 5 -2 -3 y = f{x) -4 (a) lim, f(x)= x→-4+ -3 3 2 O DNE O 1 (b) Is…

A: We need to choose correct option.

Q: Given the function: f(x) = 47' - 8z 9x' + 8x2 + 8x - 4

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Q: Evaluate ſ. 6x ds where C is the portion of y = 3+ x? from x = -2 to x = 0 followed by the portion…

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Q: CURRENT OBJECTIVE Apply L'Hospital's rule to find the limit of an indeterminate form produced by a…

A: The objective is to evaluate the limit.

Q: The two figures are similar and regular solids. Find their mass if the sum of eir mass is 120g. e1 =…

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Q: Sales. Suppose a tricycle company projects sales to increase with the function f(x) = 2(x + 3)2…

A: Given function f(x)=2(x+3)2

Q: Given that f(1) = r°h(x) h(– 1) = 5 h'(– 1) = 8 %3D Calculate f'( 1).

A: Given that fx=x6hxh−1=5h'−1=8

Q: CURRENT OBJECTIVE Determine the limit at infinity of a polynomial function Question For the…

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Q: Calculate the work done by the field F when the object moves along the given path from the initial…

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Q: determine if it converges or diverges   a) cionverges by series p b) diverges by series p…

A: To solve the following problem

Q: y ~ y=x+1 x=4 y=0

A: Given: Now find the x-intercept of the line y=x+1. y=x+10=x+1x=-1x,y=-1,0 Now taking an elementary…

Q: 6. (9x-6x'+7x²-Sx+15 dx 3x

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Q: - 2 Evaluatelim x- 8x2-7x-8 O 1/9 O 27 O NONE OF THESE 1/12

A: To evaluate: limx→8x3-2x2-7x-8

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Q: Let F = sin (2x + 4z) i – 8ye** k. Calculate div(F) and curl(F). (Express numbers in exact form. Use…

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Q: An object moves in a straight light according to the position function s(t) = 2tet where s is in…

A: Explanation of the answer is as follows

Q: Question For the function given below, which statements concerning Rolle's theorem are true? f(x) =…

A: f(x)=x3-16x+2    ;  [0,4]

Q: Choose which of the following is the EXACT value for the area bounded by y = e" and y = -e' on the…

A: The region is bounded by y=ex and y=-e-x on the interval 1≤x≤2

Q: Find f (x) if f'(x) = and f(1) = 25. O f(x)= 16x + 25 O f(x) = 16x +1 O f(x) = 16xl +9 O f(x) = 16x…

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Q: NOTE: Each question must be submitted individually. Press 'Submit Answer' for each question before…

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Q: Given the power series Σ 2 n A, x" n = 1 Use the technique that we covered in this lesson to force…

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Q: Find the gradient field of the function, g(x,y,z) = e 3z - In (x +2y).

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Q: Let å = - 5i – 43 and b = - 7ỉ + 23. Find ä · 6

A: This question can be solved using the concept of dot product.

Q: S(a – x)°dx

A: We need to integrate given function.

Q: P(x,y) = 696 – 10(x - - 15(y – 1)2 where P(x,y) is the price of land at the point (x,y) in dollars…

A: I have used the rule and find the solution . Point (1/2, 1) at which price is highest.

Q: A particle is moving with acceleration a(t) = 36t + 8. its position at time t = 0 is s(0) = 17 and…

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