If f(x)%3D3X2 4x+2, wha a. -7 b. 0 С. 7 d. -1 e. 1

Q: f(x, y) = Find fx, fxy, and fxyx. 7 8x+5 + 8x³ e-8y

A: The given function is;  f(x,y)=7/(8x+5) +8x3/e-8y.

Q: f(x, y) = x4 + 13x³y³ - 5xy4 + 14

A: Given: fx, y=x4+13x3y3-5xy4+14To Find: To determine ∂f∂x and ∂f∂y.

Q: C) xdy-ydx-x'y'dy=0

A: To solve the differential equation:    x dy - y dx-x2y3dy=0 We will take common terms and then apply…

Q: If h(2) = 5 and h'(2) = -3, find d(h(x) dx X = 2.

A: Gievn   h(2)=5  h'(2)=-3 To evaluate,   ddxh(x)xx=2

Q: determine L−1[F].

A:

Q: Use the convolution to write a formula for problem: y" + 25y = f(t), y(0) = -2, y(0) = 1. |

A:

Q: IF Y= 2x² + 5x dy and d = 4, find at when x = 3.

A: See this solution in below

Q: Given a – - 2y² = 9y , what is dy 2 dr dy dz 9+4y dy 3z 4y-9 dy dr 322 9-4y dy dr 9.

A:

Q: If SeF dr = [c(-5x + 3y² ) dx + (x³y) dy, what is F? %3D F =

A:

Q: Suppose the equation y" – 4y' – 5y = f(x) has y= 3x as a solution.

A:

Q: If h(2) = 5 and h'(2) = -8, find d (h(x) dx x = 2.

A:

Q: (D³– 4D°D'+ 5DD2 – 2D ) z = e'*2* + Vy + +2x +Vy +x. |

A:

Q: For two independent variables x and y S.D(X)=1 and S.D(Y)=3,then Var(3x-y) is equal to:

A:

Q: d (d) (e +2x)°] = 3(e + 2x)² (eª + 2) dt

A:

Q: If f(x, y) = (16x +y²)±, then f_(0,0) = A) 0 B) 1 C) 4 D) 2 E) Does not exist

A: Given f(x,y)=(16x^4+y^2)^1/4 First we will find fx as shown below and then substitute the values…

Q: h.w 2: find Df x +3 y = x² - 2x - 8 ||

A:

Q: If y = e* , theny equals – 2y A x3 - 2x B 2y 2x D y3 E none of the given choices

A:

Q: |f(x) dx g(x) dx = 15, find / [3f(x) + 5g(x)] dx. If 28 and

A:

Q: Which of the following gives the domain of

A: We have  fx=x9-x2   Domain: Domain is the set of all inputs for which the function is defined.…

Q: The cost per day to society of an epidemic is C(x, y) = 40x + 230y where C is in dollars, x is the…

A:

Q: f(x,y)=(3x^2+3y^2)

A: Given, f(x, y)=3x2+3y2 BOUNDARY OF A DOMAIN :- It is the set of all boundary points of the domain D.

Q: f(x)=10/17sqrt(6x^2+2x+6)= 10(6x^2+2x+6)^1/17, then df/dx =

A: f(x)=106x2+2x+6117

Q: In the given question , find d2 y /dx2 implicitly in terms of x and y:-   x2 y - 4x = 5

A: Given: x2 y - 4x = 5 Now differentiate with respect to x we get,…

Q: If F(x,y, z) = 2x² + xyz – y²z a²F :? Q14. %3D xz – 2yz -2 -2z 4x + yz What is-

A:

Q: f(x.y) = 4x - 8x + 5y² + 6; R= {(x.y)(x= 1)² +y² s1}

A:

Q: If / f(x) dx = 4 and g(x). dx = -4, what is the value of %3D where D is the rectangle: -1 < x < 1,…

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Q: Find d²y/dx² for the following equations: e) xy + y² = 1 f) x2/3 + y2/3 = 1 g) x³ + y4 = 16

A:

Q: If y = ex , theny equals - 2x A y3 2x D none of the given choices – 2y E x3

A: Given query is to find the derivative of the expression.

Q: If y = ex, then y equals 2x (A - 2y В +3 C) none of the given choices - 2x D E

A:

Q: In the given question , find d2 y /dx2 implicitly in terms of x and y :- x2 y - 2 = 5x + y

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: If h(2) 9 and h'(2) = -4, find %3D %3D d (h(x) dx x = 2

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: If f(x, y) = (y² + 2xy)x² then fxxx equals: A) 8y O B) 12y O C) 16y O

A:

Q: f(x, y) = x³ – 2ry + 27y³.

A: Given: f(x,y)=x3-2xy+27y3 To find: Local extrema and saddle point of the function.

Q: x y3 (2ydx + xdy) -(s ydx +7X dy)=o

A:

Q: f(x, y) = /322 + 5y²

A:

Q: Qs) y" + 3y' + 2y = e* – 3

A: See the details solution in below

Q: Find d2y/dx2 if y= (x2-1)(x3+2)

A:

Q: b) f(x, y)=-2x². + 8x − 3y² + 24y + 7

A:

Q: [6f(x) – g(x)]dx = i if f(x)dx 5 and g(x)dx 10

A:

Q: dz Find from the equation x*y+ x z+ z² = 4 ax

A: We differentiate both sides with respect to x, considering z is a function of x.

Q: d) y = - + 3 e) y = 20.5x f) y = V2(x – 6)

A: Given query is to find the transformation performed and then graph the function.

Q: If Ff(x) dx = 7.2 and f(x) dx = 3.7, find %3D %3D f(x) dx. 3

A:

Q: If f(x) dx = 37 and g(x) dx = 18, find 6. %3D [3f(x) %3D 4g(x)] dx.

A: ∫09f(x)dx=37 , ∫09g(x)dx=18

Q: If Sc F · dř = [c(2x+ 2y² ) dx + (x²y) dy, what is

A:

Q: Find the value of the fx(2 − x) dx - 0

A: Solution :- 1250·∫02x2-x49dx Substitute u = x-2dudx=1du = dx-1250∫u49(u+2)du

Q: 8 If f(x) dx = 37 and g(x) dx = 12, find %3D [2f(x) + 4g(x)] dx.

A: Given ∫08f(x)dx=37 and ∫08g(x)dx=12We have to find ∫08(2f(x)+4g(x))dx

Q: (x = s² – t² y = s·t³ z = 2x – 5y,

A: See the attachment

Q: If fF · df = [cl-3x – 4y³ ) dx + (x²y) dy, what is F? F =

A:

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.