1+ sin.x cos²x -dx =

Q: Given f'(x) = 3x4 — 4x³ + 7. Find all critical numbers of f'. (a.) 1 and 2 (b.) 1 and 3 (c.) 0 and 1…

A: To find the critical numbers of f'

Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →→ when x = 1, y = 1

A:

Q: 2xD(D-3x)

A: Given: So,                2xDD-3x=2xD2-2xD(3x)=2xD2-2x(3)=2xD2-6x

Q: Prove that if a0

A:

Q: Which graph represents the reciprocal of y=(x+2)²-3? A B La C D U home

A: The function is  y=(x+2)2-3

Q: Use a calculator to convert from rectangular to polar coordinates with positive r and 0 ≤ 0 < 2л…

A:

Q: Expand, that is, perform the indicated operations on the differential operator D. a) (2D + 3)(D −…

A:

Q: Prove that, a.) lim X10 b.) lim X O 3x + 1 X+1 sin x X 1 1

A:

Q: 4. Calculate the integral assuming the following: a. f² f(x) dx = 5₁ g(x) dx = 1 5, S² 12 4 fo b.…

A:

Q: 2. Genes produce molecules called mRNA that go on to produce proteins. High concentra- tions of…

A: To evaluate the limit

Q: Given f(x) = ax³ + bx. Find b so that f has a relative extremum value at (2,-1). (a.) (b.) - 3/4 3…

A:

Q: Consider the following demand function with a constant slope. Let Q(p) describe the quantity…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 5. Carl wants to invest P50000. His friend advises him to invest in three types of accounts: one…

A: Given  Total invest amount = P50000 Let the invested amount in 3% account is x The invested amount…

Q: Consider the line y = ax, where a is a positive constant. What is the shortest distance between the…

A:

Q: 6. Determine whether the series is convergent or divergent. If it converges, find the sum. Σ(++ (4)…

A: As per the rules we are supposed to answer the first question and rest can be reposted.

Q: The equation y = log(x - 3) has a vertical asymptote at: X =

A: for vertical asymptote put  x-3=0

Q: Evaluate the integral 28 fx³ (26 – 9) ²8 d. - = – 9. by making the substitution u= 26 + C

A: To solve the following problem of Integration

Q: Some ecologists divided a female bird population into three categories: juvenile (up to 1 yr old),…

A: We have to find the population of birds.

Q: f(x) -x³-2x² -5x+2. Use calculus and show work. Use exact values only. Find all intervals of…

A:

Q: ) = ť² + 2t − 1 and y(t) = t³ + 2t + 2? ect the correct answer below: There are not inflection…

A: We will find the required.

Q: Determine the second derivative of the parametrically defined curve represented by the equations…

A: dsintdt=costdcostdt=-sintdydx=dydtdxdt

Q: re4 1 2 e² x ln²√x dx

A:

Q: em by insp

A: Given:   The initial value problem is (D2+2D-3)y=12    and y(0)=1 and y'(0)=3

Q: 1. Determine whether the following series are convergent. If convergent, find the sum. A. B. n=1 1…

A:

Q: A window is being built and the bottom is a rectangle and the top is an equilateral triangle. If…

A: Area

Q: Approximate [¹52x + 1 dx using each of the following Riemann sums with 3 subintervals of equal…

A:

Q: x² 3 (x³ – 9)³ This can be transformed into a basic integral by letting Consider the indefinite…

A:

Q: 15 A company's marginal cost function is c(x)=- where x is the number of units. Find the total cost…

A: NOTE: Refresh your page if you can't see any equations. . the given marginal cost function is

Q: Assume the bucket is leaking.It starts with 5 liters of water (5 kg) and leaks at a constant rate.It…

A: We need to find work done.

Q: Suppose F = (5x - 5y)i + (x + 5y)j. Use Stokes' Theorem to make the following circulation…

A: We need to solve using Stokes' theorem.

Q: Evaluate the definite integral. 25   0 9e   x   x dx

A:

Q: If the two adjacent sides of a rectangle are always on the legs of a triangle, what is the length of…

A: let longer side of the rectangle = xlet shorter side of the rectangle = y

Q: Consider the following.   36 7   2x + 1 dx   0  Let  u = 2x + 1.  Find du. du =

A:

Q: 1. Find PS of y''' – 6y″ + 11y' − 6y = 0 given that when x = = 0, y = 4, y' = 5, y

A:

Q: Problem 6: Find the point (x,y) with x > 0 and y> 0 that lies on the curve y = 2x² and produces the…

A:

Q: 3. Decide if the given sequence {a} converges, or diverges. If it converges, determine the limit of…

A: If the limit of the sequence at infinity is finite then sequence is convergent.  If the limit of the…

Q: Use properties of a right triangle, trigonometry, and implicit differentiation to determine the…

A: By using the properties of a right triangle, trignometry, and implicit differentiation to determine…

Q: If the sales tax 4% and the purchase price is $263, what is the amount of tax?

A:

Q: Consider the function in the graph to the right. The function has a relative maximum of 3 o at x = 0…

A:

Q: Question Determine the integral that can be used to find the arc length of the curve defined by the…

A:

Q: Suppose that 3 ≤ f'(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of…

A:

Q: dy Find L y = ln (2²+4) + + Icos HIN

A:

Q: Use Stokes' Theorem to find the circulation of F = ( (xy, yz, xz) around the boundary of the surface…

A:

Q: Find the indefinite integrals of the following. Answer is already given. Show step by step on both…

A:

Q: The fox population in a certain region has an annual growth rate of 5 percent per year. It is…

A: Given: Fox population in year 2000, P1=13200  Annual growth rate, r=5%

Q: Find the area of the region enclosed between f(x) = x² + 11 and g(x) = 2x² +2. Area = Note: The…

A: Given query is to find the area enclosed by the curves.

Q: he altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A:

Q: Calculate the integral approximation Se for S6 = 8. 1₁4² dz.

A: Given:    ∫-104-x2dx Simpson's rule S6:   ∫abf(X)dx=∆x3fx0+4fx1+2fx2+... where ∆x=b-an,       a=-1,…

Q: 13. h(x) = f In 1 dt t

A:

Q: Estimate Ay for y=2x² +8x+2 at x = 1 and Ax=0.4. Round to 3 decimal places.

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and we have