dx 1 1+3x2 V3x 9. 6. Option 1 Option 2 2v37 V3x 3. Option 3 Option 4

Q: The flow rate of water at a pumping station on a given day, is given by the function R(t) = -t? +…

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Q: 4 Evaluate f². dx 4-x*

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Q: Evaluate the integral: cos? (0)do *Input answer as decimal round-off to 2 decimal places

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Q: 1. Using the graph below, answer the limit and continuity questions. 2, 6 8. -2 Graph of f Find the…

A: we have to find out the limit

Q: Find dy/dx of 6x² – 4y² = 10 at (1, 2) 3/2 None of these 4/3 -3/4 4/3 On the circle x + y? = r²,…

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Q: Show that the function f defined by (x, y) = (1, –1) f(x, y) = r? + y (x, y) # (1, –1) x + y is not…

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Q: Use implicit differentiation to find the point in the first quadrant on the ellipse 8x2 + 4y? slope…

A: Question- Use implicit differentiation to find the point in the first quadrant on the ellipse 8x² +…

Q: 10. (x + 3x3 sin y)dx + (x* cos y)dy = 0

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Q: 7. Find the exact x-value where the function f (x) = x +ln (x² – 1) attains a maximum value. An…

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Q: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

A: Topic:   Linear Equation problem Here is the answer

Q: The volume of the solid obtained by rotating the region enclosed by y = 30x - 6x, y = 0

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Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (9e' cos…

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Q: Evaluate the integral: So sin(x)dx *Input answer as decimal round-off to 2 decimal places.

A: We need to find the integral : ∫0πsin (x)dx

Q: b) Let G be a group of order 2p, where p is prime number. Prove that every proper subgroup of G is…

A: Given

Q: An open-top rectangular box is being constructed to hold a volume of 150 in?. The base of the box is…

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Q: Given (x+ y}* – ( x - v}² = x* + y^, find dy/dx using implicit differentiation. A. - 2- E. None of…

A: Given x+y2-x-y2 =x4+y4. We have to find dydx  using implicit differentiation.

Q: Problem 11 Explain what it means that F(x) = x7 is an antiderivative of the function f(x) = 7x6.…

A: Solved below.

Q: Find the direction of the vector, in degrees, of the vector 21 - 21. No need to indicate the un

A: Recall; Let ai+bj be the vector, Direction of the vector is θ=tan-1ba We have, a=2, b=-2

Q: Find the area of the region between the curves y = 12 – a? and y = x² – 6. Area between curves =

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Q: The flow rate of water at a pumping station on a given day, is given by the function R(t) = -t? +…

A: This is a problem related to integration. Based on the concept and formula we will answer the…

Q: Find the volUme OF the solid obtained by rotating about the y-axis the region boUnded by y= x° the…

A: Follow the procedure given below.

Q: v(x² – y + x)dx + (x² – 2y) dy = 0 %3D

A: Topic:- solution of differential equation

Q: csc x (cos? x – 1) dx

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Q: Find each limit. Use - o or ∞ when appropriate. 4x-4 f(x) = - (x- 4)? (A) lim f(x) (B) lim f(x) (C)…

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Q: Use implicit differentiation to find the slope of the tangent line to the curve x3 + 9 2y - 10 at…

A: Topic:- application of derivatives

Q: . Find the general solution to y + 2x = 5y³. dy . Solve the initial value problem of (sin x) = y cos…

A: Topic:- differential equations Note :- as per our guideline if more than one question uploaded than…

Q: 1) Find the hundredth derivative of p (x) = (x+ x³ + x")1º (1 + x²)!' (x³ + x³ + x7). Justify your…

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Q: Find the velocity and acceleration vectors in terms of u, and ug. de r= a(7 - cos 0) and = 6, where…

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Q: Evaluate the integral: - *Input answer as decimal round-off to 2 decimal places.

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Q: Write the sum using sigma notation: 9 + 4+ – 1+... + - 16 Σ i=1

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Q: S. 14 V1 + 7x dx

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Q: the

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Q: The point (1,3) is on the graph of x* . y? + 5 · y = x* + 23. Find the slope of the line tangent to…

A: Please follow the next step.

Q: Evaluate the integral: V3 S arctan () da *Input answer as decimal round-off to 2 decimal places.

A: Given :∫13arctan1xdx

Q: 1. Which value of k will make the lines: r = (1,2) +s(2,3), s e R and 9x + ky = 0 parallel? 2.…

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Q: Determine if the following integral converges or diverges. If the integral converges, find its…

A: To determine whether the given integral converges or diverges.

Q: lim メ→

A: This is a problem related to limit and continuity part. Please follow the procedure given below.

Q: Problem 9 Compute the derivatives of: (a) f(x)= e6z²+3z (b) g(x) = r°e² (c) h(x) = In(3r“ + 2x)

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Q: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

A: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

Q: A hot air balloon rising vertically is tracked by an observer located 7 km from the lift-off point.…

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Q: A volleyball is hit when it is 4 ft above the ground and 12 ft from a 6-ft-high net. It leaves the…

A: We need to find vector form.

Q: de r= 4 e ao and = 3 dt

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Q: 3. A girl is flying a kite on a string. The kite is 120 ft. above the ground and the wind is blowing…

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Q: Find the general solution of the differential equation. (Use C for the constant of Integration.) dy…

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Q: Find the point at which the line meets the plane. x = - 3 + 5t, y = 3+ 6t, z = - 2 + 3t; x + y +z =…

A: Given ; Line meets plane = ?   x = -3 + 5t   y = 3 + 6t   z = -2 + 3t   Plane;        x + y + z =…

Q: the limit of each transcendental function below using analytical method. Answers without olutions…

A: Limit

Q: Use Shell Method to find the volume of the solids of revolution described in each item. Find the…

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Q: Find the vector and parametric equations for the line through the point P(-2, 4, -3) and parallel to…

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Q: Consider a rectangle with the following property. Perimeter: 112 meters Let w represent the width of…

A: A rectangle has perimeter 112 meters.

Q: Find the equation of a plane that is perpendicular to the vector – i+ 2j+ 2k and passing through the…

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