/x +1 y = x + 1

Q: Determine the points of discontinuity. State the type of discontinuity ( removable, jump, infinite, ...

A: Given, fx=x greatest integer function fx=x=n, n≤x<n+1, n is integer

Q: Evaluate the double integral : 9 dy dx 36 – 12 - 12 -36

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Q: m² -1 If tan A =n tan B and sin A = m sin B, prove that cos A = n²-1

A:   We have the given information as   tanA=ntanBANDsinA=msinB   We have to prove that cos2A=m2-1n2-1

Q: What can be said about f(3) if f is continuous and lim f(x) = ?

A: We know that a function f is said to be continuous at x = c if limx→cfx=fc.

Q: i) Find the tangent and normal lines to the curve r*y° +sin(xy)+ln(1+y)+sin(2x) = sin(2) at the poin...

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Q: Calculus Question

A: Limiting value of the function is the value that function appear to achieve as the x approach certai...

Q: snip

A: a) Consider the functions fx=2xgx=12  

Q: If tan A =n tan B and sin A = m sin B, prove that cos A = m -1 n-1

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Q: QUESTION 5 Find the limit, if it exist. 9x 2+x+2 lim x- 00 4x-2x-3 O a. 9 4 O b. 4 6. Oc. 4 9. O d. ...

A: Take highest power of x common from numerator and denominator

Q: f f(x,y) = 3x² – 9y², then the total differential of f at z = 1 and y = -2 is :

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Q: 91. Prove the integration formula tan-1x dx = x tan¬1x – In(x² + 1) + C (a) by applying integration ...

A: The given integral is: ∫tan-1x dx Answer (a): The given integral can be written as: ∫tan-1x·1 dx To,...

Q: Solve each logarithmic equation.Express irrational solutions in exact form and as a decimal rounded ...

A: The properties of logarithms can be used to simplify this problem. It is observed that the logarithm...

Q: True or False Work is a physical example of a vector

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Q: 00 The given power series: (z + 6)" is convergent if |(z+6)| < (Write your answer up to 5 digits aft...

A: Given series, ∑n=0∞42n7nx+6n

Q: Explain of the method of proving the derivative (dy/dx) of y= U(x)V(x) where U(x)and V(x) are differ...

A:   We have to explain of the method of proving the derivative dydx of y= U(x)V(x) where U(x)and V(x) ...

Q: 4) Determine the following for the function 2x3 f(x) 10x2 + 48x + 6: - 3 (i) intervals where f is in...

A: i) The function is fx=2x33-10x2+48x+6 The function is increasing when the first derivative is positi...

Q: Let r(t)=cos 2t i +sin 2t j + t k be a vector function. Which of the followings are true for this fu...

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Q: Suppose that In 2=a andIn3=b. Use properties of logarithms to write each logarithm in terms of a and...

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Q: Find the x- and y-intercepts of the graph of the equation y = −∣x + 10∣.

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Q: derivative of the second Please solve a question Quick

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Q: If P(2) = z³ – 3z² + qz + 100 and z = 4 + 2i is one of the solutions of P(z), which of the following...

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Q: Find the volume of the solid generated by revolving the region bounded by y = 3x – x² and y x2 about...

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Q: If the zeros of the polynomial f (x) =x3-3x2+x+1 are a-b,a,a+b .find a and b

A: We can solve it using the properties of cubic polynomial as below

Q: 2)The radius of a sphere decreases at the rate of 4 m/sec. Find the rate at which the volume decreas...

A: From the given problem:   drdt=-4m/sec ; r=4m   As we know that the volume of the sphere is:   V=43π...

Q: Write the slope-intercept form of the equation of the line passing through the point (2, -3) and par...

A: The slope intercept form of the line helps to find the required equation of the line. The slope-int...

Q: Write an example that illustrates why (loga x)r ≠ r loga x.

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Q: Find the vertical asymptote for the graph of f(x)=(x²+4) / x-29

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Q: Real and imaginary parts Let Re(z) denote the real part of zand Im(z) the imaginary part. Show that ...

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Q: q7

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Q: Solve the following differential equations: x-e-x %3D y+ey dy dx

A: Given- dydx=x-e-xy+ey To Find- The value of the above differential equations.

Q: Finding the Speed of a Glider From a glider 200 feet abovethe ground, two sightings of a stationary ...

A: Given that a glider is flying at a constant speed horizontally in the sky at the height of 200ft abo...

Q: Think About It Is it always true that ln(ab) = b ln a?Explain.

A: Our Aim is to tell whether the statement ln(ab)=b ln (a)-(i) is true or not.

Q: Please answer the ten sub-parts.

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Q: 5. - y = e*y? dx

A: Given, dydx-y=exy2 To solve the above Differential equation.

Q: A rectangular room was designed to be built for a length of 28 feet and a breadth of 19 feet. Find t...

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Q: If f(x) = x^2-7x+8 find f(2)

A: We have a quadratic form of a  function. The general form of a quadratic function is  fx=ax2=bx+c , ...

Q: Evaluate the integrals

A: Integration means addition. It is used for adding continuous function which can't be added by simple...

Q: Solve the following differential equations: **+y = y2

A: Given: xdydx+y=1y2

Q: Find the derivative of the function.

A: Given  g(x)=3x2-22x+3-2 g(x)=2x+33x2-22 g(x)=2x+323x2-22 We use the following and differentiate g(x)...

Q: And please show steps

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Q: Can you please solve the question

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Q: Izl-2i Let f(z) = Find the imaginary part of f (z). а. -2 - y/x2 + y? x² + y2 O b. -2x + y/x2 + y² x...

A: Hence option (d) is correct 

Q: Find the derivative of the trigonometric function.

A: Given :           h(x) = sin 2x cos 2x   To find h'(x)

Q: The power series 1+2 (x+9) +3 (z + 9)² +4 (x + 9)"+ is centered at O z= 9 O I= 0 O I=1 O I= -9

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Q: In Exercises 29–31, find the equation of the line tangent to thesurface at the given point P and in ...

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Q: Expand (3 – 7x)' in ascending powers of x, up to and including the 4th term. Hence, approximate (2.8...

A: Binomial theorem, (a-b)n=C0nan-C1nan-1b+C2nan-2b2-C3nan-3b3+...+Cn-1na1bn-1+Cnnbn To find binomial e...

Q: (a)sketch a graph of the function f, (b) determine an intervalon which f is one-to-one, (c) find the...

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Q: Using Properties of Logarithms In Exercises 87 and $88,$ use the properties of logarithms to approxi...

A: NOTE- AS WE ARE ALLOWED TO ANSWER MAXIMUM THREE SUBPARTS IN ONE QUESTION SO, I HAVE ANSWERED FIRST T...

Q: Q The position vector of a particle is given by s(t) = 3t² – 2t + 5.Find the time at which the insta...

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Q: Use double derivative method for th i) the extreme values. i) where the graph of f is concav

A: Given function is: y=x4-12x3+48x2-64x We have to find the extreme values. Differentiating y with res...