Given that f(x) = x² − 13x and g(x) = x + 6, find: a) (ƒ + g)(4) = b) (f g)(4) = = c) (fg) (4) = d) 4¹) (+) (4) =

Q: 5) Find the divergence of (√x² + y² + z 5) ki vj + zk)

A:

Q: 14) у = так? (*); а = ? А) Ч 47X2 х2+4 B) - L 2\4-x³² c) 2 D) L 2+X

A: according to guide line we do only first part .please re post other parts in next question (14)…

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A: 12+22+...+n2 = n(n+1)(2n+1)6. 1+2+...+n = n(n+1)2

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A:

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A:

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A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  substitute n+1…

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A: let Volume = V V = 43πr3S = 4πr2dVdt= 198 ft3secfor an intance V = 18 ft3

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A: we know that ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx, where c is betwwen a and  bgiven  ∫17f(x)dx=7.2 and…

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A: Given: Range of g(x) is [-2,6]

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A: Using root of quadratic equation

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A: let numbwes of nickels is  x let numbers of dimes is  ylet numbers of quarters is zgiven  total…

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A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

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A:

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A:

Q: Solve for 8: cos²0 (1 + 2cose) = 0 on the interval 0 sesn. = 06-1플 100-10. ㅠ 3 품 품 3 3 00-27, 0.ㅠ…

A: To solve the trigonometric equation cos2θ1+2cosθ=0 ; 0≤θ≤π.   As the general solution of the…

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A: NOTE: Refresh your page if you can't see any equations. . the given expression is

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A:

Q: • L₁²*²1*²** LI Q16: 2z√x² + y² dz dy dx (Hint: use the cylindrical coordinate)

A:

Q: The answer

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A:

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A:

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A: Answer in step 2.

Q: 3x 16x³ +24x² - 9. Find: 10. Given f(x) = a) All maximum and minimum points b) All intervals wher

A: given that ;- f(x)=3x4-16x3+24x2-9now ,  f'(x)=ddx3x4-16x3+24x2-9f'(x) = 12x3-48x2+48xand…

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A:

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A:

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A: NOTE: Refresh your page if you can't see any equations. . here we have and the given interval is…

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A:

Q: ector v is shown in the graph. -10 6 (-5, 12) 00 15 6 4 7 3 N O v = (-5, 12); ||v|| = 13 T 13 لمه 12…

A: Vector

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A: for x intercept put y=0for y intercept put x=0y2=x2-4x-12x2-2x-3

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A:

Q: 16. If h(x) = f(2t +Vt) dt, find h'(-2).

A: If hx=∫0x32t+t3 dt, then to find h'-2.

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A: To evaluate the given limits of function

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A: Match the function with the graph of its derivatives.

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Q: Question The Laplace transform of the function f(t)= e 2t+2t4 is L {f(t)} = Select one: O True O…

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Q: Find the limit (if it exists). lim f(x), where f(x)= x+1- [x³ +2₁ x < 1 x+2, x ≥ 1

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Q: Consider the given function and the given interval. 14x f(x) = (1+x²) 2¹ [0, 2] (a) Find the average…

A: According to question,Given Function,fx = 14x1+x22

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Q: Find the sum of the series 65+ 513 5/9 + LO 5 27 - 5 81 +

A:

Q: (c) sin 13л 15 COS Зл 15 COS 13п 15 sin 3п 15 Answer: sin 10п 15 = sin (2) 3 2п √√3 =

A:

Q: Consider the function below and its graph shown to the right. 1 -t if- 10 ≤t<0 f(t) = X F(-10)= Let…

A: Consider the function below and its graph shown below.ft=14t  if -10≤t&lt;0t22  if 0≤t≤10Let Fx=∫-5x…

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A: we have to find taylor series expansion of f(x)  f(x)=1x2= x-2   at  a =1   now ,    f(x)=x-2…

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A:

Q: Simplify the trigonometric expression.   1 + tan(A) sec(A)  Step 1 Write tan(A) in terms of sine and…

A: Given query is to simplify the expression.