dx 20.5 x√4x²-49

Q: f(x)= log (x-2) f(2.1)= log(2.1-2)= log 0.1 = -1 X 2.1 5 8 10 15 15)- 20 25 (20) 164 13 (x, f(x))…

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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: H.W : Prave the orthogonality. Conditions for the Sine and casine functions....

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Q: 3. 4. If = (-12, 4, 8) the position vector of u is...........

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Q: dw Q11- express by using the chain rule: w = ln(x² + y² + z²) x = cost, y = sint, z = 4√t

A: The objective is to find the derivative using chain rule.

Q: 4: Find aun -2 2y² Sin(xy) dx dy

A: Topic:- application of integration

Q: 2x₁ + 2x₂ + 4x3 = 8 - 6x₁-6x2-12x3 = -24 - 3x2 + 9x3 = 15 2x₁ + 2x2 + 4x3 = 0 - 6x₁-6x2-12x3 = 0 -…

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Q: The following chart shows student population in a certain elementary school over a 5 year period.…

A: topic- average rate of change

Q: ㅠ y = 2sinx and y = 0 from x = 4 ㅠ to x = .

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Q: The region in the first quadrant bounded by the graph of y-8-³, the x-axis, and the y-axis is…

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Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 32 cm to a length…

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Q: Let F(x) = f(x¹) and G(x) = (f(x))¹. You also know that a = Then F'(a) = = 12, f(a) = 3, f'(a) = 4,…

A: Fx=fx4 and Gx=fx4a3=12, f(a)=3, f'(a)=4, f'a4=7

Q: The water level inside a cylindrical tank (height 12 ft) is 2 ft below the top of the tank. If the…

A: Explanation of the answer is as follows

Q: Using Cramer's Rule to solve (if possible) the system of linear equations 1 A -10 1 B 11 N SSSUSU…

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Q: use the definition of Laplace transform, to calculate the transform of f(t) if it is known that: 2et…

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Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

A: Thr solution is given in the next steps.

Q: Determine the points in the interval (0, 2π) at which the graph of the function below has a…

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

A: A bicycle with 24-inch diameter wheels is traveling at 16 mi/h.

Q: Question 11 Find the determinant of the matrix, A 2-13 B 2²-12λ + 13 C 22-122-13 D 2²+12+13 2-11 4 ]…

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Q: (b) Find the points on the given curve where the tangent line is horizontal or vertical. r = 1 + cos…

A: We are given a curve in its polar form  r= 1+cosθ We have to find points on the curve at which…

Q: TICILNIC B. Find the general solution of the following 2nd order differential equation: y* +2y + 2y…

A: Topic:- differential equations

Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x -4 and parallel to the line 6x…

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Q: 1. Lim x-2 X x² - 4 x³ -x-6

A: Lets factor x3-x-6: x3-x-6=x3-2x2+2x2-4x+3x-6                =x2(x-2)+2x(x-2)+3(x-2)…

Q: Use the elimination method to find all solutions of the system: [x² + y² = 7 x² - y² = 4 The four…

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Q: Evaluate √√√1 + sin x dx.

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Q: -0.5 3. f5 x(1-x)³ dx 0

A: To evaluate the given definite integral by using substitution rule.∫00.5x1-x3 dx

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: We have to find the rate of change of angle.

Q: d²y dy 4. (a) Compute the general solution for: +4 dt +3y=e-t/2. dt² (b) Compute the solution with…

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

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Q: Evaluate ffxcos² (y) d4, R=[-2,3]× [0,1] R 5π/8 3π/4 5π/2 O 2/3

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Q: Write an equation of the tangent line to the curve f(x) = answer in the form Ar+By+C =0. 3x at the…

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

A: The given second order homogeneous differential equation is: y''+2y'+2y=0 Therefore, the auxiliary…

Q: 1.) lim f(x) = X→-7+ 3.) f(3) = 5.) f(0) = 7.) lim f(x) = x→0+ 9.) lim f(x) = X→3+ 2.) lim f(x) =…

A: The objective is to determine the limit if it exist.

Q: An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the…

A: We have to find the angle and speed of the plane.

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: 1. Evaluate the integral: (a-1/3 - 2/3) da X

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: A man that is 5 feet tall is walking in a straight line at a rate of 3 ft / s towards a lamp post…

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Q: ow that the differential form in the integral below is exact. Then evaluate the integral. 5,1) 20x…

A: We have to examine that the given differential form of intregal is exact or not .after that we have…

Q: 3. The angle between vectors A = 91-j+5k and B=(-2,7,1) is... ***** 16- 12 4. 2) shor mis

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: A 60-m climbing rope is hanging over the side of a tall cliff. How much work is performed in pulling…

A: We have to find work done.

Q: Find the general soultion of the follwoing equations dy cos x + y = cos²x, 15

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: below F(x) = 1.) lim f(x) = X-3 x-3 x² +1 4x + 5 2x² - 1 if x 3 2.) lim f(x) = X-0

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: Fill in the blanks the information needed to make the solutions correct.

A: 1)∫23(t3+5) dt2)∫12(x2-x) dx

Q: Given f(x,y)=x²exy, evaluate f,(3,0). (A) 27 B) 13 C) 9 D) 6

A: The function is given as , fx,y=x2exy evaluate fy3,0=?

Q: Scanned with CamScanner 10.f cota y sec y dy

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Q: bject is dropped from a 150-foot-high building, its position (in feet above the ground) is given by…

A: Please refer to the image below

Q: Q3: Solve the D.E_XỲ+Y=. XY+Y= 7/2/2 y2

A: The given differential equation is  XY'+Y=1/Y2

Q: y = 2 sin 3x 1+3 cos2x

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Q: Calculate the inverse Laplace of: (s-1)e-2 s²+8s +13 ^{²

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Q: Suppose you are using a Leslie population growth model to study a species split into two age groups…

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