-sin V3

Q: Sequences and series

A: Whether the sequence is convergent or divergent by finding it's limit

Q: Determine whether​ Rolle's Theorem applies to the following function on the given interval. If​ so, ...

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Q: In Exercises 11–14,approximate the critical numbers of the function shown inthe graph. Determine whe...

A: The critical numbers of a function are points where the first derivative equals zero or the derivati...

Q: The half life of a radioactive sample is 50 days. How much of a 800 mg sample remain after 1 year? R...

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Q: Verify that f and g are inverse functions algebraically. f(x) = x3 + 5, g(x) = ∛(x − 5)

A: fx=x3+5gx=x-53

Q: Q5) Find f'(x). Also evaluate f'(1) and f'(2) Also defined Function is Increasing or decreasing at x...

A: Formulae used: ddxxn=nxn-1ddxC=0 Where C is a constant. Chain rule of differentiation: f(g(x))'=f'(g...

Q: The directional derivative of the function f (x, y, z) = x²z + xyz + y² in the direction of u = 2i +...

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Q: The parametric equation of the segment [AB] with A(1,0,5) and B(3,1,2) is: O x-1+3t y=t z35+2t -< t<...

A: Two points A and B are given we have to find the parametric equation of the line segment AB. A line ...

Q: Solve (x-1)' +(x – 2)' + (x – 3)' + (x + 4)' + (x + 5)' = 0

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Q: Verify that f and g are inverse functions (a) algebraically and (b) graphically

A: Given- fx=x+3x-2, gx=2x+3x-1 To Find- that f and g are inverse functions (a) algebraically and (b) g...

Q: Use a linear approximation to estimate the following quantity. Choose a value of a to produce a smal...

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Q: Solve the given equation for x.  ln 1x = 1 ln x

A: To Determine: solve the equation for x Given: we have ln 1x=1 lnx Explanation: we have ln 1 x that m...

Q: I need help with grade 12 advanced functions logaraithims homework question. Can you please solve on...

A: Solution

Q: Find a linear mapping G that maps [0, 1]×[0, 1] to the parallelogram in the xy-plane spanned by the ...

A: A linear mapping G that maps [0, 1]×[0, 1] to the parallelogram in the xy-plane spanned by the vecto...

Q: snow began falling at 6 AM (t=0). the depth (inches) of snow on the ground at a cetrtain location at...

A: The zeroes of a polynomial are the values of the variable at which the value of the function is 0. T...

Q: Væ – 4/x dx

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Q: 6.

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Q: In Problem,find the exact value of each expression

A: Let the given expression be y - y = tansin-113                   ..........(1)Using identity - sin-1...

Q: Find each integral

A: Given: ∫x6 dx Formula used: Power rule for integration ∫xn dx=xn+1n+1+c

Q: Find (a) f ∘ g, (b) g ∘ f, and (c) g ∘ g. f(x) = 3x, g(x) = x4

A: The notation f∘g is used do denote the composition of two functions where f and g are two functions....

Q: Calculus

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Q: write each trigonometric expression as an algebraic expression in u. sin(cos-1u)

A: Solution: Consider the given trigonometric expression is: sincos-1u Let  θ = cos-1u⇒cos θ = u Now,  ...

Q: 3 a and b.

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Q: Please quickly , only choose the correct answer

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min....

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Q: Solve x dy -3x -2xy+1 dx ran

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Q: Find the slope-intercept form of the equation of the line that has the given slope and passes throug...

A: The slope-intercept form of a line is: y=mx+b Where m is the slope and b is the y-intercept of the l...

Q: I need help plz

A: Given, Line D = x = 2+3ty = -1-4tz = 2  It is passing through A and parallel to the vector v  We hav...

Q: The system of linear equations: x1 + 2x2 + 3x3 = 2 x1 – x2 + 2x3 = 1 Select one: a. is an underdeter...

A:  If there are fewer equations than variables, then the system is called underdetermined and cannot h...

Q: Help with all! Checking my work and answers

A: Derivative of f(x) at x=a f'(a)=limh-&gt;0f(a+h)-f(a)h

Q: 5.Find the equation of tangent and equation of normal to the curve, 1 (3x - 1) 3xy = 5-8y' at the po...

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Q: Calculus

A: Given, fx,y,z=x2siny+yez, where x=t+3,y=πet-1 and z=ln 2t.   The objective is to determine dfdt at t...

Q: xyz 3. If f(x, y,z)= In| +e 2 find f,, f, and f..

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Q: mitial value problem if he Ear uation is Escact. Solve the Griven dibterential (ex+ + (2+x+

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Q: 3x+y-9 if 3x + y + 9; 3x+y-3 Let f(x,y) = 6. if (x,y) = (3,0). Then f is continuous at (3,0). f is n...

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Q: A parametric equation of the line (D) passing through A and parallel to the vector v is: x = 2+3t y ...

A: Given, The parametric equation of the line D passing through A and parallel to vector v is  x = 2+3t...

Q: Solve equation. If necessary, round each answer to the nearest thousandth. 6p = 17

A: Our Aim is to solve the equation below:-6p=17 -(i)

Q: Consider the following two matrices: -2 1 1 C = 7 -1 D = | 3 -2 1 Which of the following four produc...

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Q: Evaluate the following limit, using any appropriate method. lim r In(x)

A: Find the limit using L hospital rule

Q: Verify that f and g are inverse functions (a) algebraically and (b) graphically

A: f(x)=2x, g(x)=x/2

Q: Use logarithmic differentiation to differentiate the following function.  f (x) = 2x

A: fx=2x

Q: Let F(x.y.z)-r*+*+ysin x +x Inz 0, where z f(x,y), then at (0,0,1) and are equal to: O None of these...

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Q: The inverse function of f is denoted by ________.

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Q: State the inverse of the Pythagorean Theorem. Is it true?

A: The inverse of the Pythagorean theorem: If a, b and c are three sides of a triangle and if they have...

Q: The maximm rate of change of the finction /(x.y,2) x In(yz) at (1:2;5 is equal to: V17/2 V17/4 O -2/...

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Q: In Exercises 67 and 68, determinefrom the graph whether f has a minimum in the openinterval a, b. ...

A: Connsider the graph of the function f. Determine whether the function f has a minimum in a,b.   Mini...

Q: Solve 2 cos2 x + cos x - 1 = 0, 0 ≤ x &lt; 2π

A: To solve: 2cos2x+cosx-1=0,0≤x≤2π. Solution: Given equation is: 2cos2x+cosx-1=0 On simplifying furthe...

Q: 2x2-2y2 if x + y Let f (x, y) = %3D x-y 2 if x = y Which of the following is true? O fis continuous ...

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Q: az are Let F(x, y,z) = z +x+ysin x+ xIn z = 0, where z =f(x,y), then at (0,0,1) and %3D ax equal to:...

A: We have to find the partial derivatives of given function at point

Q: I need the sol with details in 30 min

A: Find the all relative maxima and minima of f(x,y)=(x-2)2+(y+1)2 now find  fx=2(x-2) and fy=2(y+1) fx...

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.