4) Find dy given: y (1-x)(1+ x )(1+ x³ )(1+x*) dx d'y given: y= (5x -3X7x+x) 5) Find dx

Q: 2+3i ++i Evaluate the expression 1+2i, 6-i, Express the answer in rectangular form.

A:

Q: * 00 The size of a certain insect population is given by P(t)= 300e OLr, where t is measured in days...

A:

Q: By using the substitution u = x3n, find nx3n-1, 'e*" (e*™ + 8) dx where n is a constant. Hence, eval...

A:

Q: Evaluate the limit of the function f(x) = 8r as x approaches T. A. T В. 8 C. 8T D. 0 E. None of thes...

A: The given function fx=8π

Q: ,In sec²(sin2y)dy can be evaluated by writing it as sec2y ! / sec²( sin2y) - 2 cos2ydy S. | sec2( si...

A: To simplify the given integral.

Q: Evaluate the indicated integrals if b is a positive real number constant. A. ftan () dx B. dx C. sec...

A:

Q: 2 y = 12 – 3x", y= 4 – x- — х |

A: Let's find. 

Q: Find the solution of the following Differential Equations 8) y-2y'+2y = 2e" cos(x)

A: The given DE is: y''-2y'+2y=2excos(x) Now, the homogeneous form of the given DE is: y''-2y'+2y=0 The...

Q: 25: Solve the following differential equation, od aace x(T/2) = 3 1 dx sco e de x2 csc 8

A:

Q: Find the integral of sin^8 xdx from x = π/2 to x = 2π  a. 0.814 b. 1.289 c. 0.240 d. 0.365

A: We have to find  the integral of sin8 xdx from x = π/2 to x = 2π 

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A:

Q: Evaluate the following using trigonometric substitution: Vx2 - 4 dx

A: Find your answer below 

Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of th...

A:

Q: Problem 2. A manufacturing company developed a mathematical model to predict its expenses as a funct...

A:

Q: Given arccos(r) = arccot(z?), solve for dz/dr %3D

A:

Q: An element loses 31% of its mass every year. Find the half-life in this situation. The half-life is ...

A: We will find the half life of the element. 

Q: 00 Σ The population of a country dropped from 51.6 million in 1995 to 45.5 million in 2009 Assume th...

A:

Q: (x²-ax +4" dx

A:

Q: x* + 11 Generate the graph of y = f(x) and use the graph to make rough estimates of the coordinates ...

A: We observe from the graph of function

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 2t, y = 6 –...

A:

Q: Consider the pair of savings plans below. Compare the balances in each plan after 13 years. Which pe...

A:

Q: Calculate the producers' surplus (in dollars) for the supply equation at the indicated unit price p....

A:

Q: Find the length of the curve defined by æ? = 2y³ from x = 0 to x = 4:|| %3D

A: We need to find length of curve.

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A:

Q: 1. Express the integral S S f(x,y, z) dzdxdy as an iterated integral in the other five different way...

A: I1=∫02∫0y3∫0y2f(x,y,z) dz dx dy0≤y≤20≤x≤y30≤z≤y2I2=∫08∫0x3∫0y2f(x,y,z) dz dy dxx=y3,y=x30≤y≤x3y=0 →x...

Q: Consider the following. u = -9i - 4j - 2k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find...

A:

Q: Question Determine the sum of the convergent series below. "(-9)!-n n=1

A: Find your answer below 

Q: Given the curve y = x² – 2 and line x = y. 1. Compute the area bounded.  a. 3.2 sq. units b. 2.6 sq....

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Calculate the consumers' surplus (in dollars) at the indicated unit price p for the demand equation....

A: Consumer's Surplus , CS = ∫0q p(q)-p dq .

Q: Determine if the series is absolutely convergent, conditionally convergent, or diver 4n+1 (c) 2 32mn...

A: The given series of summation of 4n+1/[32nn2], n from 1 to infinity. 

Q: I+x 5. Show that y = has three points of inflection and they all lie on one straigl 1+ x2 line.

A:

Q: Consider the graph of fshown below. Use the graph to determine the following. If a quantity does not...

A:

Q: 180; 수i1 Question 8 Find the length and direction (when defined) of u × v. u = 4i + 2j + 8k, v = -i ...

A:

Q: Differentiate each function with respect to x. 2. y = (-3x5+ 1)3 3. y = (-5x3 – 3)3 4. y = (3x3 + 1)...

A:

Q: z, Z2 Prove

A: If z =x+ iy then  z = x- iy. i2 =-1.

Q: Find the sum of 1, -1/2, 1/4, .... ∞. a. 3/4 b. 2/3 c. 1/7 d. 1/2

A:

Q: Use the given graph of the function f to find the following limits. If a limit does not exist, type ...

A: In the graph open circle represents that at that point function value is not defined but it is indep...

Q: if x s -5 x – 3x-2 if x>-5 2x² + 1 Find the lim f(x) where f(x) = O -80 O None of these O -128/25 O ...

A:

Q: 1. Given x= 2t2+ 1, y= 3t : Find A = J ydx as a function of t by substituting for y and dx their val...

A:

Q: Exercises: Sketch the region bounded by the given curves, then find its area. 1. y = x², y = 2x

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 1. Use the Root Test to determine if the series en? n=1 (-1)"2* (2n2 – 1)n converges or diverges.

A:

Q: Suppose f is a continuous function where f(7) = 9 and f'(7) = 6 . The tangent line to the graph of y...

A:

Q: If a cars position on a straight road is given by p(t)=t^3-6t^2+8t find the inflection point for the...

A: Given query is to find inflection points.

Q: Let a = ci + jand b = 12i + 9j. Find c so that the angle between a and b is. Round your answers to f...

A:

Q: 8. 4dx + (x- y + 2)'dy = 0 (2--2

A: Note: According to our expert guidelines only one individual question is to be answered kindly repos...

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: This question is based on 3d line equation.

Q: xtnx Sx²lnx dx

A:

Q: (d) There exists a relation U on A so that U is symmetric and antisymmetric, but U is not transitive...

A:

Q: e^-3(t-3)-e^-3(t-5)=?

A: Solution is given below:

Q: Find the surface area of revolution about the y-axis of y = 2x + 3 over the Interval ISIS4

A: