Find all zeros of f(x) = x3 + 3x2 - x - 3.

Q: Use the graph (see given herewith) to obtain the graph of the corresponding reciprocal function, sec...

A: Given: The graph of y=12cos2π+x is To determine: The graph of the reciprocal function of the given ...

Q: Find the product : (x + 5)(x - 5).

A:

Q: Determine whether the following series converge. Justify your answers.

A: Given           Series:                                   ∑k=1∞1ln(ek+1)   We can use basic Comparis...

Q: Compute the derivatives of the following functions

A: Express the derivative of the function y=sin-1x. ddxsin-1x=11-x2

Q: Express the following logarithms in terms of ln 5 and ln 7. (ln 35 + ln (1/7))/(ln 25)

A: ln(m*n)=ln(m)+ln(n)lnmn=ln(m)-ln(n)ln mn=n ln m

Q: In order to solve 2x2 + 9x - 5 = 0 by the quadratic formula, we use a =______ , b =________ , and c ...

A: The general form of the quadratic equation is, ax2+bx+c=0.   Compare 2x2+9x-5=0 with ax2+bx+c=0. Thu...

Q: Find the annual percentage yield for an investment that earns 8% per year, compounded monthly.

A: We have to find the percentage yield for an investment that earns 8% per year compounded monthly. We...

Q: A particle moves along a line with avelocity given by v(t) = 5 sin ∏t, starting with an initial posi...

A: Given equation of the position - s(t) = ∫02v(t) dt              ..................(1)given that,v(t)...

Q: Verify that the function y = e−2x is a solution of the differential equation     3y′ + 5y = −e−2x

A: We need to check that if :                                y=e-2x is the solution to the differential...

Q: Find the general solution of the given differential equations. y′′′ − 6y′′ + 12y′ − 8y = 0

A: The given differential equation is  y′′′ − 6y′′ + 12y′ − 8y = 0

Q: Using cylindrical coordinates, evaluate the triple integral (50x + 50y“ JdV , where - {(r, az)/0srs2...

A: Given that

Q: Find y" if x3 + y3 = 1

A:

Q: Determine the (largest possible) intervals on which the function ƒ1x2= 2x2 - x4 (as shown) is one-to...

A: according to given graph, given function is one-to-one in x∈-∞,∞

Q: Determine whether the given statement is true or false. If the statement is false, make the necessar...

A: Given: f7=5 and g4=7. We know that fogx=fgx. Therefore, fog4=fg4=f7=5 Therefore, fog4=5

Q: Use Heron’s formula to find the area of the triangle with a = 11 yards, b = 9 yards, c = 7 yards. Ro...

A: s=a+b+c2Area=s(s-a)(s-b)(s-c)

Q: Solve the attached equations  by the method of undeterminedcoefficients.

A: Given- d2ydx2-3dydx=e3x-12x To find- The general equation of the above differential equations.  

Q: solve the given differential equation 2. y′ + y2 sin x = 0

A: Consider the given differential equation, dydx+y2sinx=0 now simplify the equation as follows, dydx=-...

Q: Area Find the area of the region bounded by the curves 2 0. and x x² – 2r + 2 x² – 2r + 2

A: y=xx2-2x+2, y=2x2-2x+2 and x=0. The graph is,

Q: (a) Show that is one-to-one.(b) Use Theorem 7 to find (f-1)'(a) .(c) Calculate  f-1 (x)and state the...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: Tangent planes Find an equation of the plane tangent to the following surfaces at the given points (...

A: The surface is given as, fx,y,z=2+2x2+y22-z The normal vector to the surface is,  ∇fx,y,z=∂f∂x,∂f∂y,...

Q: Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use ...

A: The given graph of function is as shown below.

Q: Compute dy/dx and d^2y/dx^2 for the following parametric functions

A: Given: y=e2tsin2tx=e2tcos2t

Q: Evaluate the series or state that it diverges.

A: The series ∑k=1∞πkek+1. We have to check whether the series is convergent or divergent.

Q: 5s Evaluate J|2 sin s Jdtds 0 0 I[ 2 OA. 3 (1 – sin(125)) O B. 3 (1+ sin(125)) (1+ cos(125)) 3 OC. 2...

A:

Q: Question 16: May I get just answer of the following MCQ?

A: a (4/211/2), (1/211/2), (-2/211/2) Given that,  Coordinates of Origin, O = (0, 0,0)  Coordinates of ...

Q: If a rock is thrown vertically upward from the surface ofMars with velocity 15 m/ s  , its height af...

A: Given that a rock is thrown vertically upward from surface of Mars with velocity 15 m/s. Its height ...

Q: Finding area Determine the area of the shaded region in lowing figures. YA y5 11 y 5 V12x

A: We have to find the area of the shaded region given in the figure.                                  ...

Q: Solve absolute value inequality : 3 ≤ l 2x - 1l

A: The given inequality is 3≤2x-1.  

Q: The minimum value of J.y,Z) = 6x - y – óZ subject to the constraints *+y -Z=0 and ? + 2? = 1 is?

A: Given,          The minimum value of fx,y,z=6x-y-6z subject to the constraints x+y-z=0 and x2+2z2=1.

Q: Evaluate

A: The given integral is ∫1∞1-xe-x dx. Evaluate as follows.  

Q: Find an equation of the tangent line to the graph at the given point. Then use a graphing utility to...

A: Find an equation of the tangent line to the graph at the given point. Then use a graphing utility to...

Q: Find the distance between the pair of points (-4, 3) and (-2, 5). If necessary, express answers in s...

A: The points are A(-4,3) and B(-2,5).   The distance between two points is given by the following form...

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent lin...

A: Given,          fx=2x+1 ; P0,1

Q: Factor completely: x4 - 81.

A: x4-81Formula:a2-b2=(a+b)(a-b)

Q: Evaluate  expression,or indicate that the root is not a real number.

A: we have to evaluate the given expression or indicate that the root is not a real number.(-3)55

Q: A bird species in danger of extinction has a population that is decreasing exponentially (A = A0ekt)...

A: Given population equation - A = A0ekt                ................(1)A0 = Initial Population = 14...

Q: Compute dy/dx and dy^2/dx^2 for the following parametric functions

A: dy/dx and d2y/dx2  are find in next step dy/dx = (dy/dt) /(dx/dt) 

Q: A large tank has a plastic window on one wall that is designed to withstand a force of 90,000 N. The...

A:

Q: The ellipse y? 42 1 62 can be drawn with parametric equations. Assume the curve is traced clockwise ...

A: Given that, x242+y262=1        ...(1)

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.