dz 1) Find and simplify in terms of r and using chain rule if given that z=√√4-x²-y², dr x=r cosh (21) and y=r sinh(21) - 1.

Q: Vector is a real number (positive or negative). O True O False

A: To Check: Vector is a real number or not.

Q: [x(4x²+6)√2x² +3dx = is

A:

Q: 1. f(x√ x² -9]dx 10.

A:

Q: = 2 and The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x…

A:

Q: 1). 8. Determine the Cartesian equation of the plane that contains the line 7=(2, 3, 2) + t(1, 1,…

A:

Q: Sarah lent $2,630 at a simple interest rate of 2.75% p.a. to her friend on August 06, 2013.…

A:

Q: A hyperbola centered at (7, 0) has a focus at (7, 5) and vertex at (7, 4). Which is the equation of…

A: A hyperbola centered at 7,0 has a focus at 7,5 and vertex at 7,4.

Q: Find the general solution of the following linear differential equation:…

A: The given differential equation,     2d4ydx4-3d3ydx3-2d2ydx2=0

Q: Find the accumulated future value of the continuous income stream at rate R(t), for the given time…

A:

Q: Find My M Mx My (x, y) and (x, y) for the laminas of uniform density p bounded by the graphs of the…

A:

Q: x²+5x+6 x+2 Evaluate limx→2 Evaluate limx→2 Evaluate limx→∞0 x³-8 x-2 x²+1 1+2x3

A: Solution

Q: Find the present value Po of the amount P = $300,000 due t = 6 years in the future and invested at…

A:

Q: Second order: non- homogeneous Equations with Constant Coefficients d²y dy 2. -2 +2 y = 3e* cos 2x…

A:

Q: Is the function f(x) = (x^2)+2 Even O Odd O Neither even nor odd O Even and odd O

A:

Q: 3-6 For sketching the function y = y-intercept x-intercept horizontal asymptote concavity of the…

A:

Q: (2) lim (x,y)-(1,1) xy-y-2x+2 x-1

A:

Q: 2. Evaluate the following limits using algebraic techniques and limit theorems. x+1-2 (a) lim x→3…

A: To evaluate the following limits using algebraic techniques and limit theorems.a limx→3 x+1-23-xb…

Q: Sv Evaluate Select the correct response: O 2x² + 15x² + C 52² ²x² +10x³ + C 25³ +2²0 x ² + 3 O 5…

A:

Q: 8. What is the area bounded by the curve y²=4x and x²=4y. A. 6 B. 7.333 C. 6.666 D. 5.333

A: Here we have to find the area bounded by the curves

Q: √ ² (2 + Inx) ² 4x dx

A:

Q: 1 (2x-3)4 4. S dx

A: Follow the procedure given below.

Q: 4-f(t)=e-²¹. 3 t³.

A: Topic = Laplace Transform

Q: 1.5 1 R₂ 0.5 0 y = 1 x = y³ y =√x x = 1 X 0 0.5 1 R₁ is the region bounded by the curves x = y³ and…

A: Given problem:- R₁ is the region bounded by the curves x = y3 and y = √x   R2 is the region bounded…

Q: 8. ²2(2x + 1) dx

A:

Q: Find the total a.f(x, y) = ex² + y² 2 derivative of t

A:

Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1 Y2 Y3 and Y4 of the…

A: Given :y'=y-5xy(3)=0

Q: Given f’’’(x)=e^x with f’’(0)=6, f’(0)=2, then f(x)= ? + C Note that your answer should not contain…

A:

Q: Which equation represents the graph of the circle? O(x-3)+(y + 5)² = 16 O(x+3)²+(y+ 5 = 4 Ox+3²+(-5)…

A: We know the standard equation of the circle is: x-h2+y-k2=r2 Where:  center: h,kradius:r Given:

Q: 4) Determine the derivative. Do not simplify your answer. a) f(x)=2x³-√x+x³ c) ƒ(x)=-4 b)…

A: I am attaching image so that you understand each and every step.

Q: What should be the balance in a Registered Retirement Income Fund (RRIF) that will provide $2,000 at…

A: Solution of given question is written in below steps.

Q: The strength of a beam is proportional to the width and the square of the depth. A beam is cut from…

A: Given ,the strength of a beam is proportional to width and square of depth

Q: A cylindrical tank, shown to the right, has height 8 m and radius 3 m. Suppose the water tank is…

A: Here, the density of water  ρ=1000 kg/m3&g=9.8 m/s2 Here, the radius of the cylindrical tank is…

Q: Find a differential equation for y=c1e^9t +c2e^-4t. Oy"+5y'+36y=0 Oy"-5y'-16y=0 Oy"-5y'-36y=0…

A:

Q: 3. Evaluate the integral sin ede from 0 to pi/2. A. 2x/3 B. 3π/5 C. 3m/16 D. R/4

A:

Q: If y cose then = dy dx ||

A:

Q: df Calculate if f(u) = 6u², u(2) = −5, and u' (2) = −5. dx x=2 (Give your answer as a whole or exact…

A: We have to solve given Questions.

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = x = 0 and x = -2. It goes…

A:

Q: Which of the following is the standard equation of the ellipse with vertices at (1.0) and (11,0) and…

A: I am attaching image so that you understand each and every step.

Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

Q: Help the artist identify the dimensions of a canvas that will maximize the painted area (painting…

A:

Q: 5. Is the following expression an identity? Explain your reasoning. cos²0 - sin²0 cos20+ sin cos 0 =…

A: Recall: Known Identities sinθcosθ=tanθ a2-b2=(a+b)(a-b)

Q: If an amount P0 is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

A:

Q: Simplify and state any restrictions on the variable. Remember the order of operations. 7x/5x²-125 +…

A: Concept: Algebric expressions: Algebraic expressions are mathematical statements that result from…

Q: 14. By integration, determine the area bounded by the curves y=6x-x² and y=x²-2x. A. 25.60 units2 C.…

A:

Q: 1. It is the unique real value that f(x) will approach as x approaches c. A. asymptote C. infinity…

A:

Q: If f(x) = 5x6 - 2x² then [f(x)dx=

A: The given function is: f(x)=5x6-2x4

Q: C) Use the Chain rule to find ().(). For the following functions: (1) u=xy-¹ where: x=e-2rcos-¹ and…

A: To find the partial derivatives of the functions

Q: Calculate the derivative. g" (0), g(s) = es S+9 (Give an exact answer. Use symbolic notation and…

A:

Q: Evaluate the limit lim of 02 04 00 of tan(+)-tan() by recognizing it as a derivative of some…

A:

Q: To find the volume formed by the function z=f(x, y) = x²y over the triangular region bounded by the…

A: Given problem:- To find the volume formed by the function z= f(x,y)=x2y over the triangular region…