11.f (4x+5) dx √1-2x

Q: Find the line integral along the given path C. f(x - y)dx, where C: x=t, y = 5t+7, for 0 st≤5 C √(x…

A: Topic:- application of integration

Q: 8. f₁(r + 1)²dr Hint: square first

A:

Q: Find the area bounded by the following functions/lines/curves: f(x) = 3x3 - x2 - 10x; g(x) = -x2 +…

A: Given: f(x) = 3x3 - x2 - 10x; g(x) = -x2 + 2x Let's first find the intersection point  3x3-x2-10x =…

Q: 5 8. fcscz x cot3 x dx

A:

Q: Using Simpson's method ²x² dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

A:

Q: In the quadratic equation Ax² +BX+C =0, describe the roots when B²-4AC is zero. A The roots are…

A:

Q: a problem of physical  phenomena that can be solved as differential equation using Euler method.

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Q: ind A or each of the following intervals, tell whether f(x) is increasing or decreasing. -∞o, A):…

A: Topic:- calculus

Q: (d) Let an = 6n²+ n-1 ntn and bn √n n+1' (i) Determine whether {an} is convergent or divergent.…

A: Given;  an=(6n2+n-1) /(n2+n)  bn=sqrt(n)/(n+1)

Q: [e²y ycos (xy)] dx + [2xe²y XCOS (xy) + 2y] dy = 0

A:

Q: . y = 3Arcsin (2x³) -- Arccos(2x³)

A:

Q: 9. y = 3 Arcsec 3x

A: On solving this we will get

Q: C с Let a and C be positive constants. Let be the upper semicircle (x − a)² + y² = a a² y ≥ 0, from…

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Q: Problem 7 Ső S xvx² + 1 dx

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Q: Question 16 The area bounded by y=1-x²₁x+y=1 and the x-axis is submerged vertically in the water…

A: We need to choose correct option.

Q: B. Graph each equation. 1. 2y² + x + 8y - 4 = 0 2. x² + y² + 6x + 8y = -9

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Q: Q1: Find the for the following functions: dy dx 1- y = e(x+In 5x) 2- y = cosh-¹ sin 2x 3- y = xsinh…

A: 1)y=ex+ln(5x) 2)y=cosh-1sin2x 3)y=xsinhx

Q: f' (æ) =Vx+, f(0)=2 f"(x) = 3x² 16x + 16, f'(0) = 1, ƒ(0)

A: Topic:- application of integration

Q: A bicycle with 24-inch diameter wheels is traveling at 16 mi/h.   Find the angular speed of the…

A: Given Problem:- A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular…

Q: Used Cramer's Rule to find the value of the variables (X,Y,Z) in the following equations x + 2y + 3z…

A: The objective is to find the value of the variable x, y, z by using crammer's rule.

Q: Question 19 Given f(x,y) = ex cos y, Evaluate fx(0,2) A) e² B 0 (C) -sin 2 D) cos 2

A: Topic = Derivative

Q: ورد ه ی

A:

Q: 2 Find all local extreme values of f(x) = -2.3 + 11x² 56x + 30. 3 The FIRST local extreme value,…

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Q: H.w: Find LT-¹ of the following functions by using partial fraction method: 2- Find L-1 [s³ +S-1 Ls²…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: 6. y = x Arccsc (¹)

A: we can find the y' as below

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: 5. y = 5 tan x³ + sec (3x)

A: Topic = Derivative

Q: 2. Find the solution of the differential equation ₂ dy 2x² = dx 3xy + y². which satisfy an initial…

A: Solved below.

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

A:

Q: y = sin² (3x)

A: Topic = Derivative

Q: Given f(x,y) = x²y-3xy³. Evaluate 2 S₁² 0 fdx

A: Follow the procedure given below.

Q: Find the transition points. y = 3x² - 42x6 (Use symbolic notation and fractions where needed. Give…

A:

Q: 3.§ sin* 2 x sin 4 xdx

A:

Q: If an object is dropped from a 150-foot-high building, its position (in feet above the ground) is…

A: Negative sign of the velocity is due to the downward movement of the body.

Q: Determine the values of m and b such that function g is continuous at every real number: if r 1.

A: Since the function g is continuous.So, limx→1-g(x)=g(1)limx→1-x2-mx=-212-m(1)=-2m=1+2m=3

Q: Given cost and price (demand) functions C(q) = 100q+42,600 and p(q) = -1.8q + 860, what is the…

A: Cost function C(q) = 100q + 42,600 Demand functions p(q) = -1.8q + 860  Marginal revenue is the…

Q: Evaluate Jx/2 6 sin x (cos x + 1)³ dx

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Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A:

Q: Find the area of the region enclosed by the graphs of f(x)=x²-10x and g(x)=6x 50-64

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Q: Derive the formula for trapezoidal Rule to evaluate f f(x) dx

A: The trapezoidal rule is to find the exact value of a definite integral using a numerical method.

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

A:

Q: A region is bounded by the y=x2 and y=6x-x², Which of the following integrals would approximate the…

A: Option (a)

Q: (-2xy) dx + (Sing-x)dy 3 7 dy + 3xy dx = x ēdx • (3x-2y + 2) dx + (3y-2x-2) dy zo (y + x² ) dx = xdy

A:

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

A: This question can be solved using the concept of partial derivatives.

Q: Find all points on the graph of f(x) = 9x² - 5x+5 where the slope of the tangent line is 0. The…

A:

Q: y" - 3y" + 3y' - y = x - 4ex

A: Let's solve diffrential equation.

Q: A fifth degree polynomial with constant coefficients may have (1) 5 distinct real roots. (II) 3…

A: This question can be solved by using the concept of nature of roots of n degree polynomial.

Q: 1) Solve the following y'z 9²² x + 2 ex-a Intial value problems. y (9) 24 y² = x²-wsx, y² (0) = 2, y…

A: We need to solve initial value problem. As per Bartleby's guidelines we can solve one question from…

Q: Find 12+ 17 +22+27+· ... + 1522 using a technique from this section.

A: Topic = Sequence

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