Use the chain rule to find dz/t. z = x² + y² + xy, x = sint, y = et

Q: Find dy given that x = sec² y y. dx Osec² ytan y cos² y tan y 2 Osin² y cot y O cos² y cot y

A:

Q: Question 3 For the function below, how many regions are at least needed to facilitate the tracing of…

A:

Q: Find the general solutions of the system. 601 x' = 08 8 -4 x 01 4 x(t)=

A: The given system,x'=60108-4014x

Q: Fill in the blanks: x² + The equation describes an ellipse. The volume of the solid obtained by…

A:

Q: Solve. |x-8=24 Select the correct choice below and, if necessary, fill in the answer box to complete…

A: option (A)  is correct. see below the calculation

Q: 5. Calculate the area between the Curve fex) = 4-x² and y = 4, y = 2x_4? 20 GMS: S-U 3

A: To find the area bounded by the curves f(x)=4-x2, y=4, y=2x-4. The region bounded by the curves is:

Q: Let one week's supply and demand functions for gasoline be given by p= D(q) = 288-39 and p = S(q) =…

A: Here, the demand and supply functions are: D(q)=288-43q & S(q)=23q which are the linear…

Q: A baseball is hit 3 feet above the ground at 80 feet per second and at an angle of 45° with respect…

A:

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: We need to find area.

Q: Q5A) Find volume of body from above Z = √√4-x² - y² and below Z Triple integration. 1 using

A:

Q: Write an equation for the function graphed below. The y intercept is at (0,-0.3) 5 4 3 2 1 + -6 -5…

A: We have to write an equation of given graph.

Q: B)Solve the differential equation da x+4y

A:

Q: Which point is the vertex of the parabola y = 6(x+3)^2 - 5?

A:

Q: Find the derivative of the following function. 8x e y= In 4x y'=

A:

Q: Integrate the following: 1. fxsinxdx 2. fæcos2xdx 3. fe sinxdx

A: The given integrals are' 1) xsinx 2)xcos2x 3)exsinx.  Repost the next parts.

Q: consider the function f, such that f(x) = (ax + 3) * e*. If the slope of the tangent line to the…

A: Topic = Derivative

Q: Q2A)Matrix 4 = [3] find Eigen values of 4².

A:

Q: cos(In2x) X A) cos(Inx) + c C) sin(In2x) + c dx = ? B) sin(Inx) + c D) E) 2.sin(In2x) + c 2…

A: Given

Q: Find the critical numbers and any local maximum and minimum points for the function ex f(x) = 2x…

A:

Q: Given the function: f(x) = { // x³-1 x-1 if x #1 k if x = 1 What should be the value of k so that f…

A:

Q: Find the general solution of the following differential equation. 4y" +36y' +81y = 0 NOTE: Use c₁…

A:

Q: let a=2+7i b=4-2i Choose the correct result of a*b* O24+22i O22+221 O22+241 O 22-24

A: complex number multiplication

Q: If f(x) = 2x²e*, find f'(1). 2e 6e 0 4e

A:

Q: If we know that g is a derivable function such that g'(81) = 6 and f is a function given by f(x) =…

A: Given :f(x)=gx4g'(81)=6

Q: Find the point on the curve y = (x − 8)² +9 at which the curvature K is a maximum.

A:

Q: 2) By using Lagrange multiplier method, find the maximum value of f(x, y, z)=x+ z subject to the…

A: Given function:-     f(x, y, z) = x + z subject to condition x2 + y2 + z2 = 10

Q: f(3x² cot 2x³ csc 2x³) dx O-csc 2x³ + C CSC O csc 2x³ + C Ocsc 2x³ + C CSC O-csc 2x³ + C

A: We can solve as follows

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A:

Q: hi there, are those letters "n" or "x" it is a little difficult to read?

A: Given that,  tanx=sinxcosx to prove that ddxtanx=sec2x

Q: Solve the following linear programming problem.   ​Maximize: z= 39x+10y subject​ to: 8x+6y ≤48…

A: Given that, Maximize: z= 39x+10y subject​ to: 8x+6y ≤48   13x+y ≤48…

Q: let a=2+7i b=4-2i Choose the correct result of a*b* O 24+22i O22+22i O22+241 O 22-24i

A: Given that a = 2 + 7i and b = 4 - 2i. We have to find a*b. Clearly as  a = 2 + 7i and b = 4 - 2i so…

Q: Find the interval of convergence of the power series: ∞ n [²(+1²] (x + 1)n 1)"] 2n n=0

A: To find the interval of convergence.

Q: For the next three exercises, use power series operations to determine the Maclaurin series for the…

A: We need to determine Maclaurin series for xarctan(x2).

Q: In a circumference of radius r (in meters), its radius increases at a rate of 2.8 meters per hour.…

A:

Q: B)Solve differential equation dy -(x²+y) = dx x+siny

A: Given that,

Q: Given the following limit, select all statements that must be true. lim h→0 Select all that apply:…

A:

Q: Penny can see the clock on the top of her town’s courthouse from her front yard. The clock is at a…

A: Given:  horizontal distance from her front yard= 140 m            if the angle of elevation from…

Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find 2.…

A: According to question,Given Function,fx = -2, 1, 1, 4, 2, 5, 3, 6gx = 6+4xhx = -x2 + 2

Q: ubscription. a. Based on the graph of J, hind the root of the equation 6x³ 19x2 + 16x-4 = 0 that is…

A: We need to find root.

Q: Question 2 In sketching y= O y = 1 O None of the choices O No vertical asymptote O x = 1 (x-1) In x…

A:

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A:

Q: (2) Find an expression for the area under the graph of f as a limit. Do NOT evaluate the limit. g(x)…

A: given :   g(x)=x+lnx

Q: dy -(x²+y) B)Solve differential equation = dx x+siny

A: Here we have to solve the differential equation.

Q: Given the functions: f(x)=x²³-8x g(x) = √2x h(x) = 6x+7 Evaluate the function h (f(x)) for x = 3.…

A:

Q: If y = sin-¹ find Zxy-

A:

Q: A)If y = sin-¹ find Zxy . orn C

A: We have to find Zxy for the given function.

Q: Q2A)Matrix A =[42],find Eigen values of A².

A: We need to find eigen values.

Q: SSF-n de of F-xy 1-2 k outward (normal away from the z-axis) through the cone z-6√ Use a…

A:

Q: Find , given y = log(ev+x²). dy dx

A:

Q: -2 -6- X G

A: