Given f(x,y) = ex cos y, Evaluate fx(0,2) O e² 00 O cos 2 O-sin 2 M

Q: 2. Given f(x, y) = 12x2x³ + 3y² + 6xy. (i) Find critical points of f. (ii) Use the second derivative…

A:

Q: In|x| 10. x A. In |x| + C dx B. In² x + C C. In² |x| 2 + C

A: We need to find integral.

Q: A ladder 20 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: y = ln √4x² (Hint: Apply first a property of LOG.)

A: Let's find first derivative.

Q: Arrange the choices in order 1.2.3.. to prove: For any sets A, B and C A x (BUC) = (A x B) U (A x…

A: Here we have to arrange the option.

Q: Q1:Discussion a continuity of the function f(x, y) at the point (0,0), where ey sinx f(x, y) = X (x,…

A: We want to check the continuity of the function at (0,0)

Q: 3. Use Stokes' Theorem to evaluate $ F dr, where F = (0, 0, 2), (1, 0, 2), (1, 1, 2), and (0, 1, 2),…

A:

Q: A. Determine if p=i-3k and q = 61-3j-4k are parallel, orthogonal or neither.

A:

Q: Question Find the volume of the solid whose base is a triangle with vertices (0, 0), (0,4), and (3,…

A:

Q: Q2: Evaluate the following integrate: 2- S(2 + 5x) es dx

A:

Q: Question R is the region bounded by the functions f(x) = -and g(x)=-. Find the area A of R. Enter an…

A:

Q: 까지 dx 10. A. In x + C B. In² [x] + C C. m² 1x1 xl 2 + + C

A:

Q: A light is hung 15 ft above a straight horizontal path. if a man 6 ft tall is walking away from the…

A: Solution :x=distance from lights=length of shadowlet,height of light,D=15 ftheight of…

Q: Question C.) - hit In n 231 n

A: We have to find the series coverges

Q: 1 S²₁x² ex³ dx 1

A:

Q: -3 1. f³² (x³ + x)dx

A:

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? (fg)' =…

A: 1.the formula of derivative of two function is fg'=fg'+gf'

Q: 1. f(1-cot 2 x)² dx

A: Solution:

Q: let G={h: [0,1] approaches to R: h has an infinite number of derivatives). then G is a group under…

A: We need to find f inverse of (g) and show it is a coset of ker(f).

Q: Q14- If f(x, y) = 2xy - x² In y- 2y² + 3x + 4, then axy is : for the function

A:

Q: (x-7) dx 19. SJ5-4x-x2

A: Answer is following.

Q: Evaluate f(3x +2)dx

A:

Q: Given f(x,y) = ex cos y, Evaluate fx(2,0) A cos 2 B) sin 2 C) 0 D) e²

A: fx is the partial derivative w.r.t. x

Q: 1. √2x+1 -15 2. So √x+1dx -0.5 3. 5x(1-2 4. fx√x-3 5. fx √x+1

A:

Q: I. Find the sum of the following convergent series. lim = 348 lim lim 846 Σ [tan² (2n-1) - tan²¹…

A:

Q: dx 15. S (x²+36) ³/2

A:

Q: = - - 6q² + 700q, where R(q) is in dollars and q Suppose a product's revenue function is given by…

A: The revenue function is given by , R(q) = -6q2+700q

Q: Q2: Find Maclaurin series for the function f(x) = (4-x) (four terms only), then find the error…

A:

Q: 7. Find the points on the curve y ve y = -x where the tangent line is parallel to the line y=

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: dy : Find the for the following functions: dx 1- y = e(x+ln 5x) 2- y = cosh-¹ sin 2x 3- y = xsinh x

A:

Q: Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if one…

A: We need to find dimension of rectangle.

Q: y = tan (xxy) -1

A: We have to evaluate the following differential equation.

Q: In evaluating x=3.98. dx x²-9 is same as evaluating lim (In(f(x))). Determine the value of f(x) if…

A: First we evaluate f(x) using substitution

Q: Solve the given ODE using the method of undetermined coefficients. y" – 4y = (x² − 3)(sin2x)

A:

Q: Consider the function f(x) = 4x² Identify the locations where f has transition points. (Give your…

A:

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

A:

Q: Q1:Discussion a continuity of the function f(x, y) at the point (0,0),where sin x f(x, y) = x (x, y)…

A:

Q: D. Diego walks at the rate of 5 ft per second toward a street light whose lamp is 20 ft above the…

A:

Q: Evaluate (x+2√Y) ds where C is given in the accompanying figure. (x+2√y) ds =D (Type an exact…

A:

Q: a particle moves a long a straight line with equation motion s=t^2-3t+2. find the value of t at…

A:

Q: where a represents the number (in thousands) of ten-packs demanded each week when the unit price is…

A:

Q: Suppose that ƒ is continuous and F(x) = g> 0, g'>0 and integrable on [a, b) and that lim g(x) = I-b-…

A:

Q: Given Cost and Revenue functions C(q) =q³-8q² +54q+5000 and R(q) = -3q² + The costs are $ (Round to…

A:

Q: B. Find the general solution of the following 2nd order differential equation: y+2y+2y=0

A: Solution is done in step 2

Q: Write the equation of the line. == (0, 2) is on the line. Select one: O a. -3x + 5y = -10 O b. 5x -…

A:

Q: If you evaluate the integral expression S 4x +3|dx the result is Blank 1 (use fraction or decimal in…

A: The integration of the integral is |4x+3| limit from -1 to 1.

Q: 17) Find P₁0 (x), the Taylor polynomial f(x)= tan¹ (x³) at a=0. P(x) = x²³ - ²¹ +² the function

A: To find the Taylor's polynomial

Q: Water is leaking out of an inverted conical tank at a rate of 13600 cubic centimeters per min at the…

A: Water is leaking out of an inverted conical tank at a rate of 13600 cubic centimeters per min  at…

Q: Use the rules of differentiation to find the derivative of the function. y = sin(0) -11 2.2.025.

A:

Q: Given cost and price (demand) functions C(q) = 100q+43,000 and p(q) = -2q + 890, what profit can the…

A: