If f(x) = 3x5 - 10x³ +5, on what intervals is f"(x) > 0? Enter the (disjoint) interval(s) below using 'U' for union, 'inf for oo, and '-inf' for -∞ if necessary.

Q: ts, Consider the ellipse 4x² + 2xy + 2y² = 88. (a) The derivative on this curve is dx dy dx…

A: Given The equation of ellipse is 4x2+2xy+2y2=88   We are required to find a. dydxb. Equation of…

Q: Consider the function f(x) interval. = 1 on the interval [3, 9]. Find the average or mean slope of…

A:

Q: Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines…

A:

Q: The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to…

A: Given:  fx=2-62x To Find:  To determine the domain of the derivative of fx and  then to evaluate it…

Q: Complete the parametric equations of the line through the points (-6,-1,6) and (-2,-7,-4) x(t) = − 6…

A:

Q: A lamina with constant density p(x, y) = p occupies the given region. Find the moments of inertia Ix…

A: Solution is given below:

Q: 6. What principal invested at 13% compounded continuously for 6 years will yield $9000? Round the…

A:

Q: 1 3 I(t) = ²/³ - 5 ² + 3 2 +86 (0 ≤ t ≤ 10)

A: I(t)=13t3-52t2+86for critical numbers put I'(t)=0d dt(tn)=ntn-1d dt(constant)=0

Q: Find the limit. lim X→0 sin (8x) 7x

A:

Q: Determine if the function f(x) = r²-3x+2 satisfies the hypotheses of the Mean Value Theorem (MVT) on…

A:

Q: The sum of integrals below give the area of a region in the xy-plane. Sketch the region, label each…

A:

Q: The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 115 +…

A: Solution: Given data, P(t) = 115 +t-83e0.02t where t is the week and 1≤t≤52.…

Q: Q8 Find the slope at x = 2 on the graph of f(x) (a) -3 N/W (b) 3/3 (c) 3 4 = 3 (d) 0

A:

Q: Consider the following equations. y = x, y=x²

A:

Q: d) lim √2 - x X-2+

A:

Q: Sketch-the-graphs-x = 4y - y² and x = y

A:

Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

A: Profit = Revenue - Cost

Q: Find the unique solution to the differential equation that satisfies the stated conditio dy In(x) dx…

A: given:differential equation dydx=lnxxy,  y1=6

Q: Find the volume of the pyramid with base in the plane z = -10 and sides formed by the three planes y…

A:

Q: Let y = f(x), where f(x) = (5x² + 6)1/3. Find the differential of the function. dy =

A:

Q: Expand the quotient by partial fractions. x² +5 X x2 - 5x + 6 2 x² +5 2 x -5x+6 (Simplify your…

A:

Q: There are two types of license plates. One of them consists of 2 upper case letters followed by 4…

A: We have to slove above question

Q: The region bounded by f(x) = −3x² + 12x + 63, x = 0, and y = 0 is rotated about the y-axis. Find the…

A:

Q: 12. The average rate of change of f(x) = (x-a)² over the interval a ≤ x ≤a + 1 is

A:

Q: B₂ (x₂3x₂ ) = 4x₁x₂ *1*2 0< x₂ <1 2 Y₁ = x₂₁² Y₂ = X₁ X/₂ Find the joint pdf for Y₁, Y₂ for 0<x< ₁…

A:

Q: lim x 8个 xxx 782_11x+67 cx87-67 lim ax87-11x+67 Cz87-67 lim x →∞ ar ax87-11x+67 cx82-67 =C =C =C

A:

Q: The domain of origin that satisfies the function f(x)= (x)/(x+2) is.

A:

Q: The area under the curve of the function f, using the Riemann sum, will be exact if we let the n or…

A: Solved below

Q: 6. Evaluate the limit: lim x+-5+ a. 25 b. 2.5 5x X+ 5* C. c. -25 -co d.

A:

Q: dy Find by implicit differentiation. dx x²14xy + y² = 14

A:

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A:

Q: 5. If 3x²z+y³-xyz³ = 0, find az / əx. 6. Show that if w=f(r-s,s-t,t-r), then dw dw dw dr + + = ds ôt…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 4.7² as follows: Let f(x) = x². The…

A: f(x)=x2m=f'(x)d dx(xn)=nxn-1

Q: Solve the differential equation y` = (196+ y)²

A: The given differential equation is: y'=196+y2

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A:

Q: let y = ln x find y' O 1/x O 1/x² O x X none of the above

A:

Q: find a reduction formula for the integral|x" cos x dx.

A:

Q: Differentiate the function. f'(x) = f(x) = In(cos(x))

A: The solution is shown below-

Q: Use polar coordinates to find the volume of the given solid. bounded by the paraboloids z = 10 - x²…

A: The solution is shown below-

Q: (a) Find the linear approximation L(x) of 2 f(x) = x³ at x = 3 L(x) = x = 27. (b) Use L(x) to…

A: The given function fx=x23. To find the linear approximation of fx at x=27.

Q: This was incorrect

A: The given function is; f(x,y)=ln(x3+y3).

Q: Suppose a product's revenue function is given by -8q² + 800q, where R(q) is in dollars and q is the…

A: The given revenue is Rq=-8q2+800q, where Rq is in dollars and q is the number of units sold. To find…

Q: Answer the following questions. 1 A function f is given by f(x) = (x+1)|x+3| x+3 (a) Express f(x)…

A:

Q: A chemical manufacturer wants to lease a fleet of 27 railroad tank cars with a combined carrying…

A:

Q: x²-1 Evaluate the limit, if it exists: lim - a. does not exist b. 2 *1 X-1 C. 0 d. 1

A: We are required to evaluate:limx→1x2-1x-1

Q: 17x³ (In x)² dx =

A: The given integral is: ∫17x3 ln x2 dx

Q: Suppose that a company's sales volume y (in thousands of units) is related to its advertising…

A:

Q: 3. Evaluate the limit, if it exists: lim a. 0 b. 7 x² + x + 1 x+2 X²-2 c. 3.5 d. does not ex

A: H=limx→2x2+x+1x2-2

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 4y and y³ = x with y…

A:

Q: Question 2 Find all critical numbers of the function f(x) = sin²6x + cos 6x, 0<x<3. O T N 2x 36 0 9…

A: We have to slove above question Find the critical number of function