Use algebra to evaluate the following limits. x-6 a) lim x6 3x² - 12x - 36 x² + 2x² + 7x 4x b) lim x-0

Q: Q3/Find the equation for the tangent plane and normal line to the surface Z = 9-x² + y² at the point…

A:

Q: A function f and a point P are given. Let correspond to the direction of the directional derivative.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the integral using the substitution u = t8. Enclose arguments of functions in parentheses. For…

A: According to question,Given integral,∫t7 cost8 dt

Q: solve this problem using washer method and explain the process

A:

Q: Let v(t) = (t², -4t,9). Compute the derivative of the following function. v(e¹)

A: Solve the following

Q: * Parallel lines have the slope (m1x m2 )= -1 true O False

A:

Q: -1/3 4/3 (4) Find t(n) for the function t(n) = 3n +4n (4) (n) =

A:

Q: Define the points P(2,-2) and Q(3, 4). Carry out the following calculation. Find two vectors…

A: Solve the following

Q: Let f(x, y) = x² - In (36-4x² - y²). Then the domain off can be represented by the blue region in…

A:

Q: Differentiate the function. 7-x f(x) = 2+x f'(x) =

A:

Q: Solve the given differential equation by separation of variables. dy dx x√ 1 - y² y = =

A: Solving the problem by finding the value of the problem.

Q: Find a point on the graph of 3x y = x-4 12 where the slope of the tangent is - 23. (find x value…

A: This question can be solved using the concept of slope of tangent at a given point.

Q: 16. A cup like object is made by rotating the area between y = 2x² and y = x+1 with x> 0 around the…

A:

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A:

Q: Find dy dx 12) y = cos ³ (5x+2) -2)) y = √tan √√₂x + + 3)) Por The following Function i y = sin-¹…

A: **As per our guidelines, we are supposed to answer only 3 subparts of a question. Since you have…

Q: (3) Let A be commutative ring with identity, then A has just trivial ideals iff A is ....... O…

A: Here you have posted multiple question, So as per the policy I can answer only first question for…

Q: 1) Using Laplace transform methods, solve for t20 the following simultaneous differential equations…

A:

Q: Use partial fraction decomposition technique to evaluate the integral: S; dx. x² (x+1)³

A: ∫x21+x3dx

Q: * The following function f(x) = x^4 sinx is odd O neither even O O

A:

Q: The value of √(-25) is * O -5i O 4i O 5i O-4i

A:

Q: BA)Find normal line and parallel plane to the function f(x, y, z)=x√yz + 6 At point (-3,1,4).

A:

Q: Q2\ By using Adjoint method, find the inverse of the following matrix. [1 0 -31 A= 4 2 -1 LO 3 2

A: As per bartleby guidelines, I can answer only one question. So, kindly repost the question.   2. We…

Q: Find the local maxima, local minima, and saddle points of the function, f(x, y) = x³ + 3xy + y³

A: Topic = Functions

Q: Which of the following represents the difference quotient for f(x)= -²₂ 2 x(x+h) 2 x(x+h) 2x+h…

A:

Q: Rewrite the given function with a rational exponent. 7|X 8 = y In X + 8 = In x + 1 || In x + 00 8 00

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: aduction to Calculus in Physics: ulus is a powerful tool used in all areas of physics. One of the…

A: When velocity become zero ball reached it's maximum height

Q: Calculus I Consider the following graph y=f(x)  Where dy/dx is zero?

A: If we have horizontal tangent , dydx=0 .

Q: Calculate the integral SS²y-2x e²y-2x (y + 2x)³ dA R Where R is the region formed by joining the…

A:

Q: Z Z 2 J 0 iei(n+1)0 de

A:

Q: y = (x²+4)* Use Logarithmic Differentiation to find dy dx = dy dx

A:

Q: 3 4 Q4) Suppose a class contains girls, and boys. Suppose that 40% of the girls have long hair, and…

A: Above question is solved.

Q: At what points of R² is the following function continuous? 17 f(x, y) = x5 (y² +81)

A: Solve the following

Q: B)Solve the differential equation = x - y. dx

A:

Q: Find the equation of the plane tangent to the following surface at the given points. x² +…

A:

Q: Find y' y= y" = 3x + 4 2x-3

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Q2: Find y(2) if D.E as give dy 2+3y=sin 2x, y(0) = 6 dx Given

A:

Q: [₁ F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 2yi + xzj + (x +…

A:

Q: Q5) Solve dx dx +2xy = 3 by using Euler's method to find the approximate solution up to X-2.9 when h…

A: The solution is given below

Q: f Cos 6 x dx 2 Cos ²3x

A: Solving the problem by finding the value of the problem.

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

A:

Q: The exponential function given by H(t) = 80,042.99(1.0484), where t is the number of years after…

A: We are asked to find the centenarian polulation.

Q: (B) If f(x, y) = x² ye(x+y²) Find the four seconed partial derivative.

A:

Q: 2. For the quadratic function y = -6x² + (K + 4)x+ 9, find the following: a. The Axis of Symmetry of…

A:

Q: 2x² + 3 Find f'(x) given that f(x)= x² - 5x+2 5) Find f'(x) given that f(x) = (2x³ + 2x² − 3)(3x³ -…

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

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: We can solve the differential equation.

Q: Use the Chain Rule to differentiate the following function. f(x) = (3x² + (4x-5)4)7 f'(x) =

A:

Q: 5. DETAILS ZILLDIFFEQMODAP11 1.2.012. MY NOTES ASK YOUR TEACHER In this problem, y = c₂ex + c₂e-x is…

A:

Q: Find the values of x and y - SX+(s+6) Y=1 (3-s) X-2sY= -8 ..... (1) (2) ...

A:

Q: if (1+i)(x+iy) = 2+4i then 5x is : O 15 O 10 O 5 O 3

A: