10 If f (x) dx -7 and f (x) dx = 1 then determine -3 -3 10 [1- f(2) dz 5 showing working.

Q: [xus (2) x+10) xuIsx(p) x(1) (k)1 ×sinx (1x [x][a] (k) 1 x (m)xcosx

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Q: Second derivatives Find d2y/dx2 . x + y2 = 1

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Q: f'(x) (11 + x)2 -V11,V11 VIī, VIT EX =p 7 of 7 2x(x² – (11 + x2)3 Substitute x = -/11, 11 in the…

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Q: 3. Given f(x) = x + 2 and ƒ '(x) = give the equation of the tangent line to %3| 2Vx(x+2)² f(x) when…

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Q: 4x-3, 15. What is the derivative of f(x) ? Зх+2 17 a. (3x+2)2 4x2-3x b. 3x2+2x С. 16 d. (3x+2) 16.…

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Q: X- 1 Find the anti-derivative of /1-x² 1- x2 – Arcsin x + C V1- x² - Arcsin x + C 2 2/1- x2 - Arcsin…

A: Here we have to find the antiderivative of x-11-x2 ⇒I=∫x-11-x2dx

Q: 2. Find the derivative of (a) f(x) = x4 +2x-2 + 4ex

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Q: 6. (a) f(x) = arctan (e-2) 6. (b) f(x) = [arcsin (²)]³

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Q: Second derivatives Find d2y/dx2 for the following functions. y = 2x2 + 2

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Q: .4 -1 sec J2 Evaluate x dx

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Q: •tanx √1+1² 0 1+e' sec ³x 1+etanx If f(x) = A B C D -dt, then f'(x) equals 1+tan²x 1+e' tan.x In…

A: Solved below

Q: 3 + 3x – 5 Find the local maximum by solving the derivative P'(x)=0, – 2x + -- %3D |

A: Given Find out local maximum

Q: G. (CHAIN RULE) 1. f(x) = (3x² - 2x+4)² 2. y = sin 2x 4 (a² - y²)² 4. g(x)= (3x² + 4x - 5)5 3. 2 =

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Q: Find the derivative of the function. 4x - 5 y = 8х + 1 Choose the correct setup below to find the…

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Q: V3x-e2x-(x ln x)(ln(ln x))| In(ln x) Given a function, y = dy Show that dx V3x-e2x (x In…

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Q: True or false: The maximum value of the function y = -2 cos x + 5 is 7.

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Q: 2х -3 -dx. Evaluate(x-2)(x² + 1)

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Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: given: f=x3y2-yx+lnx to find:fyyxxx

Q: 4. Find the derivative. x? + 6x – 5 (a) 5х -1 (b) ƒ(x) = (3xr² – 5x - 7)' Us e chain rule (c) y =(x-…

A: Topic:- derivatives

Q: compute the derivate

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Q: True or false: The maximum value of the function y = -2 cos x + 5 is 7.______

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Q: 1) The derivative of f (x) = e2x² cos x is: 2) Simplifying the expression e n(4x-3) + eln 2x In(e3x)…

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Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given :             cosh(3x2y) = x + ln(exy + 1)   To find :            ∂y∂x

Q: ,x € (0, 2] ,a = 0 f(x) = sinx then f (x) dx = 1 3 2.

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Q: e3x _e-3x Y = e3x +e-3x]

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Q: Example 7: Find all of the second derivatives for f (x, y) = 3xy2 + 2xy + x2. %3D

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Q: Second derivatives Find d2y/dx2. 2x2 + y2 = 4

A: To findd2ydx2of 2x2+y2=4

Q: O tan-()+ -dx =| Business Mathematics And Statistics x4 +1 Questions 1 O tan-(+e -) + c V2x x2 +1 O…

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Q: Limit -1 to 1 integral (1-1/2 x) dx

A: Given:        ∫-111 - 12x dx   To find the value of ∫-111 - 12x dx   Formula:          ∫xn dx = xn…

Q: Ах3+ Вх + 2 , x2

A: Solved below

Q: 3) Find the second derivative of 2x f(x) = for x + 0 3x2+4x Show all steps. Simplify your answer as…

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Q: tanx -√ S sec²x 1+ et tanx In (secx) √✓ 1+tan²x 1+ elanx sec ³x 1+etanx If f(x) = A B (с 1+1² 1+e'…

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Q: evaluate using the suggested method.

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Q: Hn+1(x)= 2x Hn (x) – 2n H-- 1 (x) H,(x)= 2n Hn-1(x).

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Q: (2+2)5 Find the derivative of f(z) = 2-i

A: We will use the formula uv' = vu'-uv'v2 Given f(z) = (z+2)5z-i

Q: Derivatives of y = 3x²(x² + 1)³

A: We can find the derivative as below.

Q: (x²–1)dx S (x++3x² +1)[tan-1 x2-1 aluation of is

A: Given integral is I=∫x2-1x4+3x2+1tan-1x2+1xdx To evaluate I Now, dividing the numerator and…

Q: 2. Find the equation of the tangent line and normal line to the curve f(x)= 3x at the point(1,1). x²…

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Q: Method of differentiation. 19. Solve (1-x²) dy − xdx + m²y=0 - where x = 0, y=0, x=m dx

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Q: 3 x° In x x° with respect to X - Find the derivative of y a) 6x - a2 b) None of these c) p6 ln x x2…

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

Q: Example3: a) Find the derivative of f(x.r.:)= r - -: : at P(1.1.0) in the direction of 1= 2i-3j-6k.

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Q: 1-2 c) dx

A: Evaluate the integral: ∫01e1-xdx. Simplify- ∫01e·e-xdx Apply ∫afx dx = a∫fx dx here a is constant.…

Q: 3 √√√x tan-¹ √x dx 1. 1 2. T 3. 3x² + 4x³ +16x² +20x+9 (x+2)(x²+3)² 1 12x+5x+3 4. 0 √ sec¹ x tan³x…

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Q: f(x) = VT cos x2 COS 2x f(x) = x² + 4

A: Given functions is, f(x)=xcos(x2) So, differentiating it with respect to x, we get,…

Q: HIGHER DERIVATIVE OF A FUNCTION AT A POINT 1. If y = 3x3 – 6x2 + 6x + 1, find d dy dx ' dx2 at x = 2

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Q: f(x) = tan (2x5 – x) %3D f'(x) = 9хcosx f(x) = %3D csc(x) f'(x) = %3D f(x) = ex f'(x) = %3D e5x+3 y…

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Q: Find dydx by implicit differentiation, given that x2y−3y3=−1. Your answer could involve both x and…

A: We differentiate both sides with respect to x We use the product rule for x2y

Q: 4. Using the expression (x + Ax)² = x" + nx-Ax +n(n – 1)x"-²Ax² + + Ax" ... prove that if f = ax"…

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Q: Q. 2. a) Find nth order derivative of f(x) = In(2x-7). b) Find 3rd order derivative of y with…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.