a. Find the equation of the tangent plane to the level set g(x, y, z) = cat the point P(2,-1, 1) in the level set, and find the value of c. b. Find a unit vector u so that the directional derivative of g at point the P. denoted D,,ge. is zero.

Q: If y=-3, what is the value of 4y^3 +2(y^2-4

A: Given query is to find the value of expression at y = -3

Q: differentiate ((x^2) - 1)^2

A:

Q: What is x^2+y?

A: Given expression.  x²+y

Q: Differentiate and simplify

A: The derivative of ln x is 1x.

Q: What's y=-×^2+2×+10 is ?

A: The equation is y=-x2+2x+10. The above equation is in the form of equation of parabola.

Q: Y= x^5-2x^4+3x^2-5x+1 find the c and y intercept

A: X-INTERCEPTS Plug y=0   into the equation and solve the resulting equation x5−2x4+3x2−5x+1=0 for x.…

Q: Sketch y=-3(x-1)^(2)(x+2), making sure to account for end behavior along with zeros and their…

A: y=-3(x-1)^(2)(x+2)

Q: 2(p^2+q^2)=x^2+y^

A: Given,           z2(p2+q2)=x2+y2

Q: How to find the lactus rectum if (x-4)^2 =-16(y+1)

A: Length of the latus rectum is 4a

Q: 3. Subtract 2x² – 9x + 6 from Sr -3x +7 %3D

A:

Q: D^(3+1) (D-2)^(7+1) y = 48e^2x

A: Put D=m then solve it.

Q: (x^3y)^-2 (xy^3/x^2y^2)^2

A: We have to simplify x3y-2 xy3x2y22.

Q: у %3D (х + 7)(2х* + 3х? + 5х — 1)

A: Giveny=x+72x4+3x2+5x−1

Q: y=x^2 + 6x+ 3 function in vertex form, the graph to represent the function

A:

Q: write f(x)=-2^2+6x+6 in form f(x)=a(x-h)^2+k

A: That's easy. Have a great day!!!

Q: Is the function R(q)=1/q^2(q^2+5)^2 quadratic? If so, write the function in the form R(q)=aq^2+b⁢q+c…

A: We have to distribute (q^2+5)^2 first using (a+b)^2 formula.

Q: Eliminate the arbitrary constants: x^2y=1+cx

A: Introduction: The anti-derivatives of a function can be found using integral calculus. These…

Q: Given H(a)=a4-3a^2-a+1, the domain is

A: The domain of a function is the set of all values of the variable for which the function is define.…

Q: How do you get the y-intercept out of y=4(x+2)^2+8

A: The equation is:y=4(x+2)2+8

Q: what is y=-4(x+5)^2-16 in standard form

A:

Q: y= x^4-3x^2+4x-3 find derivativr

A:

Q: state the number of roots for the function f(x)= x^7+65x^4+64x

A: Given: The function is f(x)=x7+65x4+64x. Concept used: The highest power of the polynomial is the…

Q: f A= [ 2  -3  1 ]          [ -4  3  1 ]          [   1  2 -1 ]   then 4A^t=?

A: the given matrix is: A=2-31-43112-1 the given expression is 4At

Q: identify the end behavior for the function y = x^3 - 3x^2 - 4x +12

A:

Q: Find the value of x that results in a maximum value of y if -2=x^2+y^2-4x+4y?

A: The given equation is -2=x2+y2-4x+4y. To find the value of x that results in a maximum value of y,…