The signum (or sign) function, denoted by sgn, is defined by if x < 0 if x = 0. if x > 0 sgn x = -1 0 1

Q: Discuss the continuity and sketch the graph. 1. f(x) = 3x² + 2x + 1, X = -2 - 2. f(x) = x² - 4x+4…

A: Since you have posted multipart question i can do first three sub parts as per our country…

Q: f(x) = 8 V 6x² - 5

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Q: Consider the following piecewise-defined function. f(x) = 2x² - 2x + 7 [2x² -7x+4 if x < 1 if x ≥ 3…

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Q: let r(t)=(t^2,1-t,4t), d/dt[r(t) dot a(t)=?, t=2 ,assume that a(2)= and a'(2)=

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Q: 5. Given the complex number A = 4 + j5, B = 2 - j3, and C = -2- j4. Calculate A + B and A+C. Show…

A: Please see the below picture for detailed solution.

Q: Find the derivative of y with respect to the given independent variable. 55√√x dx y = log 25ex - log…

A: Given that , y=log25ex-log5x5 dydx=?

Q: let c1=(e^-4t,sin(t),3t^3) c2= (e^4t,cos(-5t),3t^3) d/dt[c1 dot c2]=? d/dt[c1 cross c2)=

A: Given :c1=(e-4t, sin(t), 3t3 )c2=(e4t, cos(-5t), 3t3)

Q: Find the reference angle and the exact function value if they exist. cos150°

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Q: C e n on 25. Fin 26. Graph the curve with parametric equations x = cos t, y = sin t, z = sin 5t and…

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Q: Find the mass, the moments, and the center of mass of the solid E with the given density function p.…

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Q: प. #5 X Ay rotate X=AX X70 about x-axis (Find veterane)

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Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. V = y…

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Q: Find f'(a). f(x) = √3-4x

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Q: Given f(x, y) = x² – xy5 – 3y¹, find fxx (x, y) = fxy(x, y) =

A: The given function is: fx,y=x2-xy5-3y4 To find fxxx,y and fxyx,y

Q: əz dz Express and as functions of u and v both by using the Chain Rule and by expressing z directly…

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Q: 4) belanjmited 10/1036 a) b) upy of awob Find ALL of the first and second partial derivatives of the…

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Q: For what value of k will the function f be continuous on (-∞, ∞)? f(x) = = +2 9 x + 3 k if x # -3 if…

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Q: Find the linearization at x = a. f(x) = -1/3, a = 7 (Express numbers in exact form. Use symbolic…

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Q: 7. A rectangular fence is to be constructed with one of its face adjacent to an existing wall. Given…

A: According to question,Given Perimeter of rectangular fence = 24 m

Q: Find the plane through the points (3,5,-2), (1,1,-4), (-5,-1,5)

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Q: en a rectangular box. Lengths are in cm 2 x X X

A: Given query is to find rate of change of volume.

Q: Convert each bearing measurement to degrees in standard position (DSP): 1. bearing of 100 degrees =…

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Q: Let f(x) = 8x³ - 15x²2 -2, x ≥ 1.5. Find the value of 3 df The value of df 1 at the point x = 623 =…

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Q: x²+4x x²-12 2 x²+x-6 x²+x-6 (Simplify your answer. Use integers or fractions for any numbers in the…

A: To solve the fractions.

Q: Write the following as a single logarithm. Assume all variables are positive. 6 log3(y) + 2log, (b)…

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Q: Given f(x, y) = x² – xy³ – 3y¹, find

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Q: The displacement (in meters) of a particle moving in a straight line is given by the equation of…

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Q: Find the solution to (2x + 3) y'=y+ (2x+3) ²; x = -1;y=0 2y = (2x + 3) 2 In (2x + 3) y= In(2x + 3) 3…

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Q: The force F on an object is the product of the mass m and the acceleration a. In this problem,…

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Q: Find an equation of the tangent line to the curve at the given point. y = 5x 4√x, (1, 1) y = x X…

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Q: Answer: 3. Find the equation of the tangent line to y=x-lnx at x=2, Write your answer in…

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Q: A graph of a function is given. Use the graph to find the indicated values. y 4 0 (a) f-¹(2) (b)…

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Q: Find the derivative of y with respect to the given independent variable. y = log 36ex - log 6 X dx =

A: Given that : y = log36 ex - log6 4√x . We find derivative of this function y.   We know that logrimn…

Q: Hello can you type it and shouldnt it be -265 if we put it where the zero is

A: We need to find the equation of the plane passing through the points 7,7,5, 1,3,6 and 5,-2,-1.

Q: A. Find the solution of the following differential equations. Show your solutions 3. (D³ + 8)²y = 0

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Q: L (di/dt)+ Ri = E  is this an ODE or PDE, then what is the order and degree

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Q: The cube root of 512 is 8. How much larger is the cube root of 513.9? Estimate using the Linear…

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Q: Evaluate the limit: lim x-6 x² 2 13x + 42 x - 6

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Q: (a) Find the direction for which the directional derivative of the function f(x, y, z) = √ at P =…

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Q: 2. Find values for b and c so that f(x) = 6x² + bx+c has its vertex at (7,-9).

A: As per rule I need to solve only first question.  So I solve only question number 2.

Q: 25

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Q: Complete the parametric equations of the point (-6,-5,-1) and perpendicular to the plane 4x-2y+3z=7…

A: Given query is to find parametric equation.

Q: Write log(y) = p in exponential form.

A: As we know that, The property is to convert the logarithmic form to exponential. if logba=c, b&gt;0,…

Q: If f(x) = f* t³ dt then f'(x) = f'(-6)=

A: Given query is to find indicated derivative.

Q: Solve the following differential equation. Show your complete solution. 2. x² dx + y(x - 1)dy

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Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A: Here we have to find the derivative of the function.

Q: Find +요. dy dx dy dx 4x =yfx =

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Q: Consider the following function. 1 (x 9)(x - 10) Determine all values of x at which the function is…

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Q: How is problem #8 done?

A: We will find the required.

Q: Find the acute angle (degrees) between the planes -2x +2y =6 and -4x + 2y + 4z = -7

A: Given query is to find the angle between the plane.