using

Q: Find all and for the following equation: ду əx xz = 2 tan(yz) + 3x %3D

A: Given equation can be rearranged as  z=2xtanyz+3

Q: for 4(t)- 165amun'c curve xLt)=U0st, Oco<2T, dutermine Cif any) at which the poim) cunme' has a hund...

A: xt=4costyt=16sint0≤t≤2π

Q: Consider the following equations. f(y)  =  y2 g(y)  =  y + 12 Sketch and shade the regio...

A:

Q: Question attached to image

A: Given data: The given integral is I=∫-15x4+13x7dx.   The power-rule for integration is, ∫xndx=xn+1n+...

Q: Flow curves in the plane Let F(x, y) = ⟨ƒ(x, y), g(x, y)⟩ be defined on ℝ2. Find and graph the flow ...

A: Flow curves in the plane Let F(x,y)=f(x,y),g(x,y)  be defined on ℝ2. Find and graph the flow curves ...

Q: The question that starts with "find the derivatives of

A:

Q: A rectangular storage container without a lid is to have a volume of 10 m. The length of its base is...

A:

Q: Consider the curve x^3+y^3-8xy=8 a) Find y' Using implicit differentiation b) Find the equation of t...

A:

Q: 1. Convert 405 degrees to radians.

A: We know that 1°=π180° radians So, 405°=405×π180 radians405°=9×π4 radians  {Divide by 45 to both nume...

Q: find the derivative of y with respect to the appropriatevariable. y = 6 sinh x/3

A: Given function: y=6sinhx3 Using the common differentiation of hyperbolic function: dsinhaxdx=acoshax

Q: Use calculus to find the absolute maximum and minimum values of the function. (Round all answers to ...

A:

Q: Evaluate the line integral, where C is the given curve. xy ds,     C: x = t2,    y = 2t,    0 ≤ t ≤ ...

A:

Q: Calculus Question

A: Given equation is, y2=3x2-16x Differentiating above equation, 2ydydx=6x-16dydx=3xy-8y  

Q: –1/2 | (x (x² + x) + 4)dx.

A: Given,            ∫04x-1/2x2 + x + 4 dx

Q: Find:

A: Let the given limit be  y - y =limx→3 x2-x-6x-3y = limx→3 x2-3x+2x-6x-3y = limx→3 xx-3+2x-3x-3y = li...

Q: What is a combination?

A: Combination: A combination is a mathematical technique that determines the number of possible arrang...

Q: Converges (by geometric series)

A: If  the geometric series is given by: ∑n=0∞arn=a+ar+ar2+..... If r&lt;1 then geometric series conver...

Q: Which of the following angles are co-terminal to -TT/2?

A: Given Data: Angle: θ=-π/2 Add 2π in the given angle, θ1=θ+2π=-π/2+2π=-π+4π2=3π2

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

A:

Q: A woman at a point A on the shore of a circular lake with radius 2 miles wants to arrive at the poin...

A: Given The given diagram is Radius of the circular Lake=2 miles Waking rate=4mi/h Row a boat=2 mi/h

Q: Verify the statement of Example 2. Also verify that y = cosh x and y = sinh x are solutions of y'' =...

A: Given- y=coshx and y= sinhx. To verify- y''=y Formula used- ddxcoshx=sinhx and ddxsinhx=coshx.

Q: Express y as a function of x (constant c is positive). Ln y=3x+lnC

A:

Q: Infinite intervals Evaluate each integral. dx а. dx b. .2 1 +

A: a.)Let the given integral be y - y = ∫0∞e-xdxy = e-x-10∞                       ∫eaxdx = eaxay = -1ex...

Q: The toll T charged for driving on a certain stretch of a tollroad is $5 except during rush hours (be...

A:

Q: Use the Law of Sines to find the indicated side x. (Assume a = 13. Round your answer to one decimal ...

A:

Q: Use integration by parts to evaluate the definite integral. 3t? In tdt

A:

Q: I need help for 1,2,3, and 4 please

A: limh→0 tan3x+h-tan3xh So here fx =tan(3x) Now we need to find derivative of fx with respect to x  dd...

Q: consider the fro lloning function x4-2x² A tind he inflechon points of gex) b) Find up and oncave do...

A:

Q: 23.

A:

Q: Hint: not an integration problem.

A:

Q: The decay constant for carbon-14 is 0.00012, with time measured in years. A piece of papyrus parchme...

A: Decay of any radio active substance follow first kinetics and the equation of first order kinetics i...

Q: To find  sin(cos−1(9/41)),  we let  ? = cos−1 9 41    and complete the right triangle...

A: We have, sincos-1941 Let us consider that, cos-1941=θcosθ=941           ⋯⋯1

Q: A point moving along the curve y^2=x^3-4x+9. When the point is at (2,-3), it's y-coordinate is decre...

A:

Q: Find the equation of the ellipse with the given properties: Vertices at (+25,0) and (0, 164)

A:

Q: The rate of snow accumulation over a two hour period is given by R(t) = t − t^2 + 1 (inches/hour), w...

A: R(t)=t-t2+1

Q: Solve the equation 10 e^.089 t = 30e^.023t for t.

A: We have 10e0.089t=30e0.023tTo Find t=?

Q: Show complete solution.Differential Equation. A sewage disposal plant has a big concrete holding tan...

A: Solution:    Let V(t) be the volume of liquid at time t Let V0 be the initial volume at time t=0 Let...

Q: 3-98 c and d

A:

Q: Give the domain and the range of the quadratic function whose graph is :Maximum = -6 at x = 10

A: we know that quadratic function domain is always x∈R, so domain will be x∈-∞,∞ if, maximum value of ...

Q: Determine the amplitude, period, and phase shift of the function y = sin(x - π). Then graph one peri...

A: The general sine form is y=AsinBx-C+D. Where A is amplitude, 2πB is period, C is phase shift and D i...

Q: Find an equation of the plane that contains all the points that are equidistant from the given point...

A: Let the point P(x,y,z) be on the required plane which is equidistant from the given points (1, 0, 2)...

Q: Evaluate the expression without using a calculator. log3 81

A: Given: log381

Q: Change the order of integration in the integral T" f(x. y) dx dy.

A: The integral is given as, I=∫01∫y2yfx,ydxdy In this integral, horizontal elemental stripdxdy is cons...

Q: Find y'". y = 12x sin x y'" %3D

A:

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

A:

Q: Find the exact value of the expression cot 120°.Do not use a calculator.

A: Given- cot 120° To find- The value of the above trigonometric ratio without using calculator. Formul...