1) Let fi R²R and suppose that f: lim схіуз эс fcx, y) = 5. What can you say about the value f(1,3)? AGA (1,3)

Q: Suppose  f ( 200 , 300 ) = 1000and ∂ f ∂ x ( 200 , 300 ) = 12 and ∂ f ∂ y ( 200 , 300 ) = 10.…

A: Given, f(200,300)=1000 ∂f∂x(200,300)=12∂f∂y(200,300)=10

Q: 6) A function y =e-2x is defined numerically for some data range x. It can be entered using: (а) у -…

A:

Q: Let S = Span}( 3 2 3 . Show that dim(S)=2. 3

A: Basis: Let V be a subspace of ℝn. A basis of V is a set of vectors v1, v2, ..., vm in V such that:…

Q: Let fx) = x + 2x and g(x) = x- 5. a) Find (f ° g)(x). f(x+h) – f(x) b) Find the difference quotient…

A: Given

Q: 3) f(x) = a + bx + cx² + dx³ : f(2)= 0 and f'(-2) = 0: This set would be the span of:

A:

Q: Consider the function F: R² – R defined by: F(x, y) = xy – 3y, for all (x, y) E R². (a) Find the…

A: Definition of Range:      The range of a function is nothing but the relationship between the…

Q: 5. Use the graph of ƒ '(x) shown and the fact that f(2) = 14 to find the value of f(12). f’(x) 8 3…

A: Notice that the graph of f'(x) on 2,8 is a upper semi circle with center (5,0) and radius 3.…

Q: 1. If g(x) is the f(x) = x after a vertical compression by = a shift right by 2, and a shift down by…

A: Given a function f(x), a new function g(x)=af(x), where is a constant, 0<a<1 is a vertical…

Q: The Trapezoidal rule applied to f fx) dx gives the value 4, and Simpson's rule gives the value 2.…

A:

Q: 2-x Find the domain of f(x) = 7+12x-13

A: The domain of the rational function is all the values except where the denominator is zero.

Q: a) h(x)= f(x)+c b) h(x)= f(x)-c c) h(c) =f(x+c) d) h(c) = f(x-c) i) A horizontal shift of f, c units…

A: Given ,  a) h(x)= f(x)+c b) h(x)= f(x)-c c) h(c) =f(x+c) d) h(c) = f(x-c) We have to match with…

Q: real mummber tzo ) if fex)= 20Vř, Show that for any f (t x) = VE +(a) 2) Consider the function fx)=…

A: