(Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible. (16x + 2) dx %3D x2 + 4

Q: 6x⁹-x5+ 27 A B R C D) 0 E) None K|N 2 4-x² dx is equal to

A: Explanation of the answer is as follows

Q: X-1 -dp- x - 2x +5 3.

A: We can find the integral using integration by substitution method.

Q: 3 (a) Write 2r +3x-4 in the form a(x+b)² +c , where a, b and c are constants.

A: Rrrr

Q: g'(x) Suppose 8(x) =Vx. What is the correct expression for the result of 8 "(x) (A - 2x 1 (в 2x 2x…

A: Given g(x)=√x  We have to find out g'(x)/g"(x)

Q: f(x) = -x² + +9 square units

A: Given the query is to the area bounded by the curve.

Q: f(x) = 25 3+ x2

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Q: For x>0 the area of the triangle with vertices (0,0), (x,2x), and (x,0) is 64 square units. What is…

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Q: f(x) = 4x² + 1; a = 2, 4

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: y^2+x=8.Given that y is half of x,what are the values of x?

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Q: 2. 3x In evaluating -dr, the result yields to AVx +B/3x+ Dx/x +C, for constants A, B, C, D. What is…

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Q: 3x In evaluating - dr, the result yields to A Vx +B/3x+ Dx/x +C, for constants A, B, C, D. What is…

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Q: g"(x) Suppose 8 (x) =Vx. What is the correct expression for the result of 8 '(x) %3D A 3x 3 2x 2x 3…

A: Solution...

Q: If f(x) = 3x + 3, g(x) =2x? - 7x- 2, and h(x) = 7x? - 3, find g(0). %3D g(0) =D (Simplify your…

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Q: The diagram shows two rectangles ABCD and PORS. AB = (2x + 5) cm, AD= (x+ 3)cm, PQ= (x+ 4)cm and PS…

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Q: f(x) = x² +8x +21

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Q: Consider the expression ƒ V4 – x² dx = F(x) + C. The expression F(2) – F(-2) is equal to A) в) 1 ©…

A: We know, ∫a2-x2=xa2-x22+a22sin-1(xa)+C       .. .(1) Now, given…

Q: - 2x' + x - x- 2 Given A .4 +x which among A, B, C and D is zero? 3 x+1 A. A В. В С. С D. D

A: Option B i.e  B=0.

Q: Find c so that f' (c) = {b) – Aa) b – a in the following ca: x - 3x – 1;a=11 b= 13

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Q: f(x)= 2cos (x) − 6sec (x)+3 =

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Q: Given f(x) = -3 a2 – 6 a + 9, find %3D

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Q: 3 f(x). If 4- 5x dx=AV4-5x +C, for constants A and C, what is the Suppose value of A? Write the…

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: The given statement is, ∫xx2+1dx=12x213x3+x+C.   The objective is to determine whether the given…

Q: f(x) = (2x - 21) /x² - 9 %3D

A: f(x)'=d{(2x-21)√(x^2-9)}/DX  f(x)'=2√(x^2-9)+(2x-21)2x/(2√(x^2-9))

Q: Which of the following equations explain the fundamental rule for equality of fractions? a–k b-k a+k…

A: The Third option, i.e. ab=a×kb×k is the correct answer. The Reason is: ab can be also expressed as…

Q: 6x9-x5+- (A) π B 0 C) None π √4-x2 dx is equal to

A: Here we have to evaluate I=∫-226x9-x5+14-x2dx

Q: (2x²-9x-9)dx x³ - 9x

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Q: 4) In the given diagram, find the value of x. X = Ho the lo of 8x-2 15x

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Q: (a) -3r*, (b) x* + 4r3 + 6x2 + 4x + 1, (c) Ar10 + bx+c (A, B and C are constants).

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Q: x + 6 U x-3 If APQR ~ AUTV , find the value of x. 14 R 8 0

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Q: x²dx a. V2x-x2 x2 dx b. 1-х6

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Q: (C) (In Mpg) for a certain vehicle can be approximated by m (x) = -0.03x +2.645x-35.029, where x is…

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Q: Simplety (xc+-x(+ -2(42)을 @) 2. (D) (@) 2x(112)2 -1

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Q: The remainder when x (x – 1)² is A 3 B S c -7x + 10 D 7x - 10

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Q: Sxvī - x²dx= Select one: 3 (x? – 1)i + c а. 3 O b. 글 (x2-1) +c Oc 글(1-x7) +c С. O d. (x² – 1). +c O…

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Q: What is the value of x? F 2x+88 5x D E

A: To find: The value of x. Concept used: The angle formed by the arc at the center of the circle is…

Q: g'(x) Suppose 8 (x) =Vx. What is the correct expression for the result of "(x) (A) -2r (B 2x 2x 2x

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Q: f(x) =x2/3; a = 125

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Q: R- exp(A) E [g (X) | {X> 3}] ca

A: The value of gx=x2+1. For X~expλ, fxx>3=fxPX>3=λe-λx∫3∞λe-λxdx=λe-λxe-3λ. To determine the…

Q: (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C…

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Q: 20. Given the figure at the right, what is the value of x? Bx-4 3x+1 4

A: We want to find the value of x.

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: iven that   a + b ( 1 + x )3 + c ( 1 + 2x )3 + d ( 1 + 3x )3 = x3   For all values of x, find…

A: Givena+b(1+x3)+c(1+2x)3+d(1+3x)3=x3 To find :Constants a,b,c and d for…

Q: Use the Quotient Rule to evaluate and simplify X-4 dx ( 2x - 5 d(x-4)

A: It is quotient rule of differentiation.

Q: Short REs pan se Given rx =x3-4y24x-6 find the value Of r 2)

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Q: Let ƒ (x) = 1 – 2x + 3x° and g (x) = 4+ 7x².For f (x) · g (x).what is the coefficient of the x°…

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Q: In the diagram at the right, A and B are points of Tangency on 0. Find the value of x. 2x +5. 33. B

A: Length of the tangents from a point to a circle are same length from point to the circumference…

Q: (b) During a nationwide program to immunize the population against a new strain of the flu, public…

A: Given: A nationwide program results is providing the population based on the new strain of the flu,…

Q: c. y = (x³ + 4)√4x²+2x − 5 /2z²+5 (x+3) d. y =

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