2x² + 3x + 3 (x + 1)³ - dx

Q: Find dy dx In y = e sinx O dy dx O dy dx O dy dx O dy dx = yey sin x =yey cos x = 4 1- ye cos x yey…

A: We can find the answer as below.

Q: F. Determine whether each linear system is solvable. 4. x = 2 (mod6) 5.x = 2 (mod6) x = 5 (mod9) x =…

A:

Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy² +…

A: Given differential equation is (y3+kxy4-2x)dx+(3xy2+20x2y3)=0

Q: √√2/2 11x² dx So √₁-x²² 10

A:

Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the…

A: Recall:  V=∫abπf(x)2dx We have a=0, b=6, f(x)=e-x

Q: 寸

A:

Q: 3. Find the regions where sinx Sx. (

A:

Q: 3. Algebraically solve the equation 2(C₂) ==(n+1²3) 5

A: Given 2(C2n)=15P3n+1

Q: (10. a = [-1, 5,2], b = [3, 2,-6], and c = [1, -4,-2]. Calculate the following: a) axb b) a b × c c)…

A:

Q: e coordinates of a point on a circle with radius 20 corresponding to an angle of 3 your answers to…

A: Topic:- trigonometry ratio in circle

Q: H.W: show that the equations are homogeneous and solve: 20 2. x² dy + (y² - xy)dx = 0

A:

Q: Differentiate g(N) = rN g'(N)= with respect to N. Assume that K and r are positive constants.

A: We need to find g'(N).

Q: ove that the limit as (x,y) →(0,0) of f(x,y)=(x²-y2)/(x²+y²) does not

A: Topic:- calculus

Q: Calculate the value of the following limits algebraically, (if they 2x-1 a) lim x+1 X² 2x²-9x-5 b)…

A: Topic:- application of calculus

Q: Find the regions where sinx sx.1

A: Topic:- trigonometry

Q: 9. Brett and Julia are getting married and the menu options at the wedding are as follows: Main…

A: Above question is solved.

Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that f(9) = 7, f(7) = 3, f'(7) = 8, f'(9) =…

A:

Q: Find the area moment of inertia with respect to x of the plane region y=9-x^2 bounded by the…

A:

Q: implicit

A:

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

A:

Q: g(x)=x5bx³ +a+c. Use calculus to: St (a) Find the critical points of g(x). (Round the y-value to 3…

A: Given a=15, b=12 & c= 15

Q: 2 1. f(x) = x² + 8x + 12 2 2. f(x) = x² + 25x 150 3. f(x) = x² + 18x130

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

Q: rodal Multiple Choice Questions 1. Using all the letters in the word CANDYCANE, determine the number…

A: We have to find out solution

Q: 2x² + y² +3z² = 1 y² = 4x x² -z² = y 2z = x² +4y² 2x + y − z =1 z = 4y²-x² E

A: We have to match the graph with equation and write name of these shapes.

Q: Let f(x) = 2x² -5x - 7. Expand and simplify: f(x +h)-f(x) h =

A: The answer is given below:

Q: For the following integral, reverse the order of integration and evaluate the integral. 1/8 1/2 S S…

A:

Q: Activity Predece A A A B Find Draw of network analysis A B C₂D | F GEF

A:

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

A:

Q: So d e2x 0 e2-5 dx is equal to

A:

Q: Write the product as a sum or difference: 20 cos(482) sin(162) =

A:

Q: What is the area bounded by the curves x = 1/y, 2x - y = 0, x = 6, and the x-axis?

A:

Q: The graph of a particular function passes through the point (3,4). Its first derivative is 2yy' + 2x…

A:

Q: 1 f(x) = (x² + 3x)² at [2,3]

A:

Q: State whether the following series is Convergent or Divergent. n! n=1 Convergent O Divergent

A:

Q: 1. f(x) = 4x² (8x + 1) 2. f(x) = (100x² + 25x)(10x² − 15x) 3. f(x) = (2x + 1)(4x + 3) (5x - 1)

A: Let's solve all given derivative by using product rule.

Q: Evaluate the following sums: a.--22√k+2 b.Σ o(x + 2i)2 3

A:

Q: A cylindrical tank is full of water. If the radius and height, respective of the tank are 1m and 3m.…

A:

Q: Find dy dx In y = e sinx Ody dx dy dx O dy dx O dy da - = = 1 = ye" sin x ye" cos x 1- ye" cos x yey…

A:

Q: f(x) = = 250 x1.40

A: As we know that; The Power Law: ddxxn=nxn-1 And a·f'=a·f', where a is constant.   The given function…

Q: f(x) = 3x² - 5x+21

A: SOLUTION-

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x)= |x-1| In its domain. a.…

A:

Q: Deriving the formula for volume generated by revolving the first- 8x and the line x = 2 about =…

A: Given problem:- Deriving the formula for volume generated by revolving the first quadrant area…

Q: A farmer finds that if she plants 100 trees per acre, each tree will yield 45 bushels of fruit. She…

A: Here we will find the number of trees per acre to maximise harvest,

Q: Let f(x)= Select the correct description of the one-sided limits of f at x = 0. Choose 1 answer: lim…

A: Above question is solved.

Q: 6. The rational function f(x) = + k is transformed to g(x) = -5f(x+3)-1. Which row in the table x-2…

A: We have to find the solutions

Q: 4. Which of the following is an exact DE? A. (x²+1)dx-xydy-0 B. xdy+ (3x-2y)dx = 0 C. 2xydx…

A:

Q: 4. y" + y = 2xsinx

A:

Q: • III.6 622 dV where G is bounded by r + 2y +4:= 8 in the first octant. 3. Evaluate

A:

Q: Find the value(s) of k that makes the given function continuous. (-x+2 if x < k f(x) = 4x + 3 if k ≤…

A:

Q: Find the interval of convergence of (x - 2)" In (5n) n=2 (Use symbolic notation and fractions where…

A: To find interval of convergence of ∑n=2∞ (x−2)nln⁡(5n) Let an = ∑n=2∞ (x−2)nln⁡(5n) Therefore, an+1…