3z dz (1 – 4z–2z²)²

Q: x sin(2x2)dx

A: We have to find the integral.

Q: Which of the following is NOT a separable equation? Select one: O dy dx xy dy = xe4 dx O None. dy =…

A: For a separable equation, Variables can be separated each side of the equation.

Q: Evaluate d:/dx on the surface x: + + x²y®=² = 3 at the point (1, 1, 1).

A:

Q: 2 is rational ご -2 x is irpational odd ? even (メ)

A: Given the function,     fx=2,x is rational-2,x is irrational

Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.015 per…

A:

Q: Problem #2: Differentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2). %3D Solution: Reason:

A: To differentiate the given function.

Q: 3. In the differential equation (9x - 4y+ 4)dx-(2x – y +1)dy = 0, the lines 9x – 4y +4=0 and -(2x -…

A: here we have to find intersecting point 9x -4y +4 = 0 9x -4y = -4................(1) -(2x-y +1) = 0…

Q: 4. 7. Suppose f(x)dx = -6, f(x)dx 6, and g(x)dx = 2. Evaluate the following integrals. 2 ... Jgndx =…

A:

Q: What is an equation for the cosine graph shown below? 11 -10 6- 8 -7 -5 4 -2 1 -135 -90 -45 45 90…

A:

Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x²…

A: 2a intersection

Q: Let f(æ) = (7 sin a + 4 cos a)tan-e f'(x) -

A: We can find the derivative using product rule as below.

Q: 1. In the differential equation (2x+3y-5)dx+(3x – y – 2)dy = 0 , the lines 2x + 3y – 5 = 0 and 3x –…

A:

Q: Can you transcribe this to an image because I'm having a hard time understanding the equations

A: Here is the image form of the solution.

Q: evaluate the integral - sin (x) dx (x) 1- sin |3|

A: The given integral,      ∫sin(x)1-sin2(x)dx

Q: Problem 4 Solve x Iпy lnx dy + dx

A:

Q: 7. Evaluate [(5+ e*)dx. A) e* +C C) Ce* +5 B) 5x+e* +C D) 5+e* +C a d

A:

Q: . Coefficients Lincar in Two Variables: (x+y-1)dx+(2x +2y+1)dy=0 %3D

A:

Q: P8: sin x cos x -dx J (2 sin x – 1)(sin x + 1)

A: ∫1au+bdu =1a lnau+b+C

Q: Find the equations of the horizontal and vertical Tangents b. x3 + 3x2 - y? = 0

A:

Q: Solve the problem and give a detailed solution. Find the 3rd derivative of y = sin(ex)

A: y = sin(ex) Differentiate w.r.t.xy'=ddx( sin(ex) )y'=cos(x)ddx(ex )y'=cosexexDifferentiate again…

Q: The eraph of a function is given. Use the graph to find the indicated limit and function value, or…

A: (a)limx→1f(x)=-3becauseleft hand limit=right hand limitlimx→1-f(x)= limx→1+f(x)=-3

Q: .2 3 Sx² sec² x³ dx

A: ∫x2sec2(x3) dx

Q: cos³ 4y /sin 4y dy

A:

Q: cos-1 x dx cos х ах

A:

Q: dx S. 2x - 1 e

A:

Q: Find the area of the region bounded by the graph of f and the x-axis on the given interval. f(x) = x…

A:

Q: a. Use the Intermediate Value Theorem to show that the following equation has a solution on the…

A:

Q: -구 4 3 4 5 6 Water leaks from a tank at a rate R( t ) where R( t) = 3.6 + 0.47 t gallons per hour…

A: Given problem:-

Q: 3 cSC x cot x dx

A:

Q: sinh x – 1 dx cosh x

A:

Q: Solve the triangle. Round your answers to the nearest tenth. а %3D 23, с %3D 29, mLB %3D 102° mLA =…

A:

Q: Next Solve the system of differential equations 17x – 8y | y' 36х — 17у æ(0) – 10, y(0) - 23 || The…

A: We have to find the eigen values and eigen vectors.

Q: b) sin(xy) = sin(x) + sin(y)

A:

Q: 3u' = - 3x + 5y Solve the system of differential equations x' 2х + Оy l y' = 3x + 5y - x(0) = 3,…

A: We solve here given differential equations and find the value X(t) and Y(t).     Here i attached the…

Q: Arcsin(x/y) = 4x + 3y

A:

Q: Тапх-x 1) lim x-0 x-Sinx

A: We are asked to find the limit of the function

Q: 4 Consider the following geometric series: 2 + 8. 16 + ... Identify a and r, find a formula for the…

A: solution:-2+43+89+1627+...first term, a=2common ratio, r=8943=23general term, an=arn…

Q: = e3 + C is the general solution to the differential equation: y' = 3y. Select one: O True O False

A: We need to choose correct option.

Q: 1. Coefficients Linear in Two Variables: (x+ y-1)dx+(2x+2y+1)dy = 0

A:

Q: 8. Evaluate dx . 6x A) +C 6. D) -C B) +C 5x 7x7 O b C O d

A:

Q: Find the interval of convergence of the power series (x-2)". n =1n

A: Here we have to find the interval of convergence of the given power series.

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. xy =…

A: This question is based on diffrentiation.

Q: Use the differential to approximate the expression. Then use a calculator to approximate the…

A:

Q: Fill in the missing correct answer to simplify the given complex fraction. Complex Fraction: X-y x2…

A:

Q: X -5

A: We have to find the function

Q: tan(1 – x) 2 limx→1 2x +x – 3

A:

Q: If f(x) = 7 sin(8a)sin-(x), f'(x) -

A:

Q: (с) (2x3 + у) dx — x dy %3D0..... [EXACT DE]

A:

Q: Find atleast 1 root for the equation 32X²-5X3-11=0

A: Here we have to find the root.

Q: 8x -2x3+7

A: