What is the derivative y^2 = 64 with respect to t? O 2x dx/dt + 2y dy/dt = 0 O 2x dx/dt + 2y dy/dt = 64 O 2x dy/dt + 2y dx/dt = 0 O 2x dy/dt + 2y dt/dt = 64 of the x^2 +

Q: Solve the system using Cramer's Rule. - 6x + 6y3z = 15 x - 2y + z = 7 4x5y4z = - 28 Find the…

A:

Q: Integrate the following using partial fraction decomposition: integral sign  [(3x2+4x+56)  /…

A:

Q: Find the equation of the final function after all the following transformations have been made on y…

A: The below image has all the steps

Q: What is the area enclosed by the curve r = 2 cos 30? Answer is in square units. Use two (2) decimal…

A:

Q: x2 – 3x – 2 if x 4 f (x) = - (2x + 1

A:

Q: 109. f(x)=x* tan x³ -x In (1+x2), then the value of (b) 1 dª f(x) dx 4 at x = 0, is: (d) 15

A:

Q: Find the center of 8x 2 + 6y 2 - 32x + 24y + 8 = 0. (2, 2) (-2, 2) (2, -2)

A:

Q: Solve the given differential equation by separation of variables. csc(y) dx + sec2(x) dy = 0

A: Solve the differential equation by separable variable

Q: n 9 = k=1 Note: Your answer should be in terms of n.

A: Solve the given

Q: Find fogo h. f(x) = x – 5, g(x) = Vx, h(x) = x – 5 %3D

A:

Q: find a formula for the function passing through (-1,5/3) and (1,15).

A: Solution: Given : (-1,5/3) and (1,15) We know the exponential function of the form f(x) = aebx

Q: Find the arc length of the parametric curve. x = 24 cos(t), y = 24 sin(t), z = 7t; 0<t< T L =|25

A:

Q: gence for n! n=0

A:

Q: 2000, the population of a city was 71,000. The population had grown to 100,000 by 2011. If the…

A: Given query is to find the population in 2026.

Q: Graph the following function by using a convenient method. y = -3cos(30° - x/3)+ 7

A: This is a graph function

Q: ſ(2x+5)dx Use geometry to evaluate

A: Follow next step

Q: Find the period of y=-3cos(3.7x). Round your answer to 1 decimal place.

A: " Since you have asked multiple question we will solve first one for you. Please specify question…

Q: Find an approximation of the area of the region t under the graph of f by computing the Riemann sum…

A: We have to find the area.

Q: Shown below is a graph of a line in the Cartesian plane. What corresponding polar equation? 2 -1 -1…

A: As we know that; The intercept form of equation of a line; xa+yb=1 Where; The x-intercept is at a,0…

Q: Determine if the following series converges. If the series converges, determine if it converges…

A:

Q: ^ du 1 1+2 Sinn

A: Solving the given integral using the substitution method Also using the formula for the integration…

Q: 2) Sketch the curve with the vector equation r(t) = costi- costj+ sin tk. Show the direction of…

A:

Q: analyze and trace the given curves y = x2 + 1 / x2

A: Explained below

Q: 4.0 mR/h = A. 0.004 R/h B. 0.04 R/h C. 400 R/h D. 4000 R/h

A: Problem statement is not given so considering unit conversion by given options.

Q: To find the distance across a small lake, a surveyor has taken the measurements shown in the figure…

A: As per given question  We have to solve above question and find distance across the lake

Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = 1 X+8,a=1 OA. P3(x) = -1/- x-1…

A: Use derivative for finding the taylor polynomial.

Q: B) Find the number of bacteria after 5.5 hours.

A:

Q: The point P(2, 2) lies on the curve y = 4. If Q is the point (x, 4), find the slope of the secant…

A: answer is in next step

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: We have to find the maximum profit.

Q: 3. Find the equation of the final function after all the following transformations have been made on…

A:

Q: rite down the ma TIX represe the linear that projects every vector in R³ orthogonally onto the…

A:

Q: 3. Evaluate the double integral: ²₂2(x+3) dy dx 4. Evaluate the triple integral: ₂ dx dy dz Z

A: Topic:- multiple integration

Q: 10. If 3(a, 3, 2)-2(3, b, b) = (-3, 1, -2), determine a and b. Describe the set spanned by the…

A:

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Given the query is to find the point of diminishing returns.

Q: An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a line…

A: Let us sketch the situation roughly using these following information: N = North, S = South, E =…

Q: 6. A parallelogram is defined by the vectors (4, 3) and (1, 2). Determine the perimeter of the…

A: The parallelogram is defined by the vectors (4,3) and (1,2)  We have to determine the perimeter of…

Q: Consider the parametric curve defined by x = t – 7, y = t* + 13t. What is %3D - the slope of the…

A:

Q: Area: 7A square centimeters

A: The length is 7/3 cm and breadth is 3 cm or vice-versa for the perimeter to be minimum

Q: Select all of the following graphs which represent y as a function of z, 24 REEF

A: Graphs are given, we have to find a graph that represents y as a function of x.

Q: -3x+1) -3х 2-3* dx

A: According to our company policy we are supposed to answer only first question and rest can be…

Q: Find the area of the shaded region. 2 -1 square units y=x+ - 2x³ y=0

A:

Q: 5. The velocity function of a moving particle on a coordinate line is v (t) = t³ + 6t² + 11t + 6.…

A: Given: v(t)=t3+6t2+11t+6

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We have to find X intercept, relative minimum, relative maximum, point of infection and the equation…

Q: Determine whether the series converges or diverges. n² Σ (n + 2)! n=1

A:

Q: 3. Evaluate yn x dx

A:

Q: Find the arc length L of the graph of r(t). r(t) = 1³ i + 1 j + = √61² k, 3≤1≤7

A:

Q: QUESTION 1 Find ay/dx?- X = t + sint, y = t- cost

A:

Q: Find the general solution of the given differential equation. x + 2y = x³ -x dx y(x) = Give the…

A: Here, the given DE is: xdydx+2y=x3-x⇒dydx+2yx=x2-1 Comparing it to dydx+yP(x)=Q(x). We have P(x)=2x…

Q: Determine the indefinite integral 4 √√x + 3 6x 1/0² - 1717 dx 4 X

A:

Q: Find and classify the critical points of f(z) = 82°(8 - z)7 as local maxima and minima. %3D Critical…

A: Critical points are the points of a function where the derivative does not exist. local maxima: the…