For an object whose velocity is given by v(t) = - +4, what is its displacement on the interval t = 0 to t = 3?

Q: Question 4 Given that sin() = 0.73, match each trigonometric function with its value. cos(8) csc (8)…

A:

Q: 3 Given that y = ³x solves -2xy"+(6x+2)y-6y=0, find the second solution of the above differential…

A: -2xy''+6x+2y'-6y=0

Q: If A(t) denotes the annual rate of world consumption of oil at time t (with t=0 corresponding to…

A:

Q: In a particular city, taxicabs charge passengers $2.20 for entering a cab and then $0.50 for each…

A:

Q: Use Lagrange multipliers to maximize the function f(x, y) subject to the constraint. (The maximum…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) [70 7 tan(x) sec³(x) dx

A: The integration given is, ∫7tan(x)sec3(x)dx

Q: The marginal profit is given by MP= P'x = x(90x+2x^2). Find the total profit function.

A: To find the total profit function, we need to integrate the marginal profit function with respect to…

Q: Represent the sum of the complex numbers −3+2i and −3−i on the complex plane. Use the Point and…

A: Given that -3+2i and -3-i To determine the sum

Q: Find an equation of the plane passing through the three points given P = (4, 2,9), Q = (6,7, 18), R…

A:

Q: Consider the surface F(x, y, z) = x6x6 + sin(y8z6) — 10 = 0. Find the following partial derivatives…

A:

Q: find the general solution (GS) of the following initial value problem (IVP): y₁ = y₁ + 3y2 where y2…

A: The given system of differential equations: y1'=y1+3y2y2'=13y1+y2Initial conditions are:  y1(0)=12…

Q: (c) Use the Chain Rule to compute af s^3t^9 + 3s^3 t^12 + 2st Əs In (c) express your answer in terms…

A:

Q: -5x-2y 2x + y x 2z = -2) = 5 +z = 5 =

A:

Q: First make a substitution and then use integration by parts to evaluate the integral [ 2 si Answer:…

A: The given integral is ∫2 sinxdx

Q: 1. A table of values of an increasing function f is shown. Use the table to find lower and upper…

A:

Q: 9. The region R enclosed by the curves y = √√x and y = x² is rotated about the x-axis. Find the…

A:

Q: The least common multiple of the monomials 8a³x6 4a²x6y, abx³y² is: O(a) 8a³x6y² (b) 8a¹bxy2 O(c)…

A:

Q: What is fxe- dx ? -x Oxe xee+C Ox²e-2x 2 + C X -xe-* — e * +C x² e-x 2 + C

A: Consider,

Q: The cost function for manufacturing electric drills is estimated to be: C(x) = 4x²-3x + 484. Where…

A:

Q: Use the graph of F to find the given limit. When necessary, state that the limit does not exist. lim…

A:

Q: Graph the function and then find the specified limits. If necessary, state that the limit does not…

A: To graph the function and then to find the specified limits. fx=4x-4 To find limx→1 fx and limx→-1…

Q: 1. Solve the following DE using Variation of Parameters: (D2 + 1) y = secx tanx

A: given that (D2+1)y=secx tanx solve it by using method of variation of parameters

Q: Making this substitution using [₁ gives us 10 sin²(x) cos³(x) dx 10 10 sin²(x) (1 - sin²(x)) cos(x)…

A: To evaluate the following integral. ∫10 sin2x cos3x dx Note: After seeing the previous solution, we…

Q: The Second Gate As you move through the first gate, you can see another gate not far in front of…

A: Given: g(x) = x+1x2-1

Q: r(t) = ti+t²j+ + 1 {/f²k 2

A: Solving the problem

Q: Consider the following. x = ln(t), y = 2t, z = t², (0, 2, 1)

A:

Q: 5. The velocity function (in meters per second) is given for a particle moving along a line. Find a)…

A:

Q: 4. Evaluate √xe-²x² d

A: ∫xe-2x2dx

Q: find the  increasing and decreasing of the function f(x)=4x^3+2x^2+4x

A: To determine where the following function is increasing and decreasing. fx=4x3+2x2+4x

Q: In three-space, find the intersection point of the two lines: [x, y, z] = [-2, 3, −3] + t[1, x = 3-t…

A: We have given that Two lines  [x, y, z] =[-2,3,-3]+t[1,-1, 2]  ----(1) and   x=3-t y=-5+ 2t…

Q: Solve the following differential equations ** - 2x +2y=x²₁ dy dx

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: A line passes through the points A(-1, 3, 1) and B(2, 0, -1). Find a vector equation of the line. A)…

A:

Q: Determine the of the following equations. Simplify your answer fully. Use identities dx where…

A: Question 1,           fx=sin2x21+x2

Q: F. dr. For example, the in Sc F. dr where =tb (1)'4- ((1)) 16.2 EXERCISES 1-16 Evaluate the line…

A:

Q: For all positive x, (Hint: Think change of base!) A. log2x OB. 10842 = 1/ C. log24 = 2 10g4x 1og2x…

A:

Q: 3. y=√√2x (x²-2), y'=?

A: We have to find the derivatives.

Q: 4. Evaluate the upper sum for f(x) = cosx, 0 < x <m,w T,with n=4..

A: f(x)=cos x    , 0≤x≤12π  with n = 4 To evaluate the upper sum for the function f(x) = cos(x) over…

Q: Evaluate the integral. (Use C for the constant of integration.) [₁ 7 tan²(x) dx

A: We have, ∫  7 tan2xdx

Q: (a) Determine the domain and range of the following functions. (1) z=sin(x-y)

A: As per guidelines we can solve only first question if multiple questions are posted. Please repost…

Q: Use power series to solve the differential equation (1+2x²)y"+6xy'+2y=0

A:

Q: 75 Compute the definite integral cos³ (2x) sin² (2x)dx . 4 30 2 15 1 15 6 775 10

A:

Q: Find the area under the curve y - area = 6xe-* for x ≥ 3.

A:

Q: What type of polar curve is the polar equation r = 3 - 3 sin (0)? rose O lemniscate limacon cardiod

A:

Q: f(x) = 2; ; хо = -3

A:

Q: Find the future value if $15,000 is invested for 7 years at 10% compounded continuously. If needed,…

A: Find the future value if $15,000 is invested for 7 years at 10% compounded continuously. If needed,…

Q: A tumor is injected with 0.82 grams of Iodine-125. After 1 day, the amount of lodine-125 has…

A: Law of Decay is given as  P = P0e-kt where P is the amount after time t  P0 is the initial amount  k…

Q: 1. let y = x(x2+x)2  , Find y'   2. let f(x) = (5x)5 find f '(x)…

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

Q: Use the graph of H shown to the right to find the limit. When necessary, state that the limit does…

A: The graph of the function Hx is To determine: The value of limx→-2Hx.

Q: Check that the point (−1, 1, 3) lies on the given surface. Then, viewing the surface as a level…

A:

Q: Use implicit differentiation to find дz дх дz ду || || 9yz + x In(y) = 22 z2 X дz дх and дz ду

A: By using the implicit differentiation to find ∂z∂x and ∂z∂y. 9yz+x lny=z2