Consider an angle in standard position with measure - 1615°, in which quadrant does its terminal side lie? A IV B II II

Q: The function s(t) describes the motion of a particle along a line. s(t) = -14t+ 21 %3D (a) Find the…

A:

Q: Given: f(x) = 60x3/4(40000-x)1/4 Task: Find f'(x).

A: Here, the given function is: f(x)=60x34(40000-x)14 We use the product rule and chain rule here,…

Q: Compute the indicated quantity using the following data. 12 sin a = 13 where = < a < T 2 cos B 3…

A:

Q: HiW:-solve the P.D.E Uxx+ Uyy-lolx++lo) U lox) = UC013) = ULY20) = U1Y,3) = c %3D

A:

Q: lim (1+)* X→00

A:

Q: y = sin z

A:

Q: 7) Assume that the temperature of a person during an illness is given by: T(t) = t2 +1 5t + 98.6, in…

A: topic - derivative of a function

Q: The rectangular coordinates of a point are given. Plot the point. (-3/7, -3/2)

A:

Q: g'(θ) at θ = π/3 if g(θ) = θsinθ

A: Given: g(θ) = θsinθ      , θ= π3

Q: (29) Evaluate the integral: csc² rdx. r/4

A:

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A:

Q: Find the function value. If the result is irrational, round your Let f(x) = . Find f(2). 3 O A. 5 9…

A:

Q: 2-the region bounded by y= .the x- axis.x = 2 and x = 3 is revolved about the y-axis find the volume…

A: The region bounded by y=1x, the x-axis, x=2 and x=3 is revolved about y-axis.

Q: d Cos(2) (32) Find the derivative: dx V1 – t?dt

A:

Q: Q5: Solve the following differential eauation using Laplace transform 2. y' = y1 + 3y2, y = 4y, –…

A: answer is in next step . please give a like.

Q: QI) Use Taylor series method to comp ute x(0.2) and given that d'x xdx _4x =0 ,x(0)=1, (0) = 2 dt dt…

A: Taylor Series is given byf(x) = f(a) + (x-a)1!f'(a) + (x-a)22!f''(a) + .....i.e. f(x) ≈ f(a) +…

Q: x + y - 18x + 10y+ 90 = 0 is the equation of a circle with center (h, k) and radius r for: h = and.…

A: topic- center and radius of circle general equation of circle with center (h,k) and radius…

Q: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

A: Force applied F=20N Natural length=2m COmpression Length=0.5 m Total compression =∆x=l0-l…

Q: (h – 2) - 4 (i) lim 2h

A:

Q: Consider the vector-valued function Ř(t) with R'(t) = (sec²(t – 1), , -2). (a) Find Ř(t) given Ř(1)…

A:

Q: Find the flux of F(x, y, z) = 4а, 32 + 2?, across the positively oriented surface 2 S given by R(u,…

A:

Q: if the Flo)==

A:

Q: [[(u + 1)e-(•1)dA; R= {(r,y) :0 s r s1, –1 <y s1} R

A:

Q: Suppose that f and g are differentiable functions such that f (0) =2. f'(0) =-5. g (0) =- 3. and…

A:

Q: Find the derivative of the function at Po in the direction of A. fxy) - - 2ху - 5у, Ро(9, - 4), А-D…

A: To find the derivative of the function at P0 in the direction of A.fx, y=-2xy-5y2, P09, -4, A=-3i+3j…

Q: fin the area bounded by y=x^3+1 and y=x+1

A: topic - area bounded by curves

Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L 8 OProve that lim…

A: Substitute x= 5 in the function and find the limit

Q: Q2/Test whether the differential equations are exact and solve those that are. (Answer only two) -y2…

A:

Q: e) What are the domain and the range for this situation?

A: Topic:- calculus

Q: ind a parametric equation for the line that is perpendicular to the graph of the equation 3x + 4y +z…

A: We find  a parametric equations for the line that is perpendicular to the graph of the equations 3x2…

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L ха = -1| 8 oProve…

A:

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 OProve that…

A: given : f(x) = 8/(x-7)(x-1)

Q: 2) Evaluate the integral and check your answer by differentiating. – 2x dx a) J"(2-x)° dx b)

A:

Q: ) Find extreme values of f(x, y, z) = x^2 + y^2 + z^2 subjected to the constraint x + 2y + 2z = 12…

A:

Q: Find the directional derivative of the function f(z, y) = In(z° + y*) at the point (3, – 1) in the…

A: We can solve this as follows:

Q: (27) Evaluate the integral: 1 IP: 5t + 4)2.7 dt

A:

Q: Use synthetic division to divide f(x) by x- k for the given value of k. Then express f(x) in the…

A:

Q: 2-the region bounded by y= .the x - axis.x = 2 and x = 3 is revolved about the y-axis find the…

A:

Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hopital's Rule. sin(9x) lim 7x…

A: We have to find the limit

Q: A right triangle has side lengths 3, 4, and 5 as shown below. Use these lengths to find tan M, cos…

A:

Q: dy Use implicit differentiation to determine given the equation zy + cos(x) = e". dz dy y + sin(z dr…

A: The detailed solution is given below Thank you

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A:

Q: Which of the following is a nonhomogeneous linear differential equation with constant coefficients?…

A:

Q: 2. Find the volume of solid generated by revolving the area bounded by x=y²+2 , x=0 and y=2 sbout:…

A: Solution is here

Q: Find a vector that is perpendicular to the given vectors. 3) i = (-5, 6, 7) v = 1, -9, 0) 4) RS and…

A:

Q: For the following graph of a function, estimate the area under the curve in the interval [-5, 1]…

A: Given interval [ - 5 , 1 ] divide in 3 interval △x=1-(-5)3=2 -5 , -3 , -1 , 1 For midpoint…

Q: A cylindrical tank of radius 5 ft and height 9 ft is two-thirds filled with a liquid of weight…

A: Work=Distance*density*volume   Distance=9-ydensity=ρvolume=πx2×dyas it is cylinder , x = r…

Q: Graph the function. 6x + 4, if x< 0 f(x) = 5x2 - 3, if x20 OA. OB. Oc. OD.

A: given function is f(x)=6x+4, if x&lt;05x2-3,if x≥0 so we calculate the values of f(x) for few values…

Q: (26) Let f(x) = x²e=. For what value(s) of does f(x) have a horizontal tangent?

A:

Q: Sketch the graph of g(x) = 2Vx + Vx. Support your graph by a table. %3D

A: i am providing the graph and tabular values in step 2