b) Compute the angle in Radians between ₁ and ₂ Round your answer to 3 decimal places.

Q: a) lim f(x) X→-3+ (b) _lim_f(x) E 1 0 (c) lim f(x) x--3 (d) lim f(x) x→ 2-

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Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: As we know the expression for the area of the triangle is: A=12bh Where b is the base of the…

Q: 17. Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: d the maximum of the objective function C = 7x + 8y subject to the feasibility region below. 2 H-…

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Q: The equation of the plane passing through the points (1,3, 2), (3, 1, 2) and (1, 1, 1) is: x-y-z=-4…

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Q: The world's population grows at the rate of approximately 2 % per year. If it is assumed that the…

A: we need to find the number of years to take the world population double.

Q: Let A = {2,7,8}, B = {-1,2,6,7}, C = {2,4,6,8,10}, D = {{7},{2,4},{6},2 ,8} List each set starting…

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Q: 7) Find the first-order derivatives of: (a) y = -7e (b) y=e-3r² (c) y = 2 (d) y = e ln(x² + 2) (e) y…

A: Use derivative

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

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Q: Differentiate the function. R(q) = 7 lnq

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Q: 3π Consider the function f(x) = 2 (cos (x − ³) + 1). Determine its amplitude, period, and midline. 2…

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Q: Find Mx, My and (x, y) for the lamina of uniform density p bounded by the graphs of the equations. y…

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Q: dy Find when dx x(t) = 3te, y(t) = 4tet. 1. 2. 3. 4. dy dx dy dx dy dx dy dx 3e¹(1+t) 4 + et 3e (1…

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Q: Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile…

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Q: which of the following is nor a solution equation y" +y = 0 differential equation a. y = 2 COSY b.…

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Q: 5) Evaluate the limit; sin (3x) Tan (3x) a) lim. хэо b) lim X. Sinx X30 1- cos X fin (3001) тилев…

A: We can solve both the questions of question-5 in the below steps by finding the limit.

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

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Q: y varies jointly as x and z and inversely as w, and y=3/2 when x = 2,z = 3 and w = 4. Please explain…

A: Given,y varies jointly as x and z and inversely as w,  y=xzw

Q: Use partial fractions to evaluate the integral. 2x²-1 (4x− 1)(x² +1) S dx

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = 2x2 + y2 −…

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Q: Find lim h(x), if it exists. (If an answer does not exist, enter DNE.) X→∞ (a) (b) (c) f(x) = 3x² +…

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Q: Two children are playing with a ball. The girl throws the ball to the boy. The ball travels in the…

A: we us Pythagoras theorem in the figure.

Q: A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $20 per acre.…

A: NOTE: Refresh your page if you can't see any equations. . x=number of acres of crop A y=number of…

Q: If z=(x+3y)ex+y,x=u,y=ln(v), find ∂z/∂u and ∂z/∂v. The variables are restricted to domains on which…

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Q: Use Implicit Differentiation to find f'(1/4) at (1/4 , 1/4) where y=f(x) and sin^2 (pix) +…

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Q: Find the extreme values of g(x, y) = x² + y² + x²y on the circle x² + y² : = 12 using the method of…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. = cos(¹x). y…

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Q: Find the volume V of the described solid S. The base of S is the triangular region with vertices…

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Q: (a) Show that r = 2sinθ + 2cosθ is a circle. (b) Find the area of the circle using a geometric…

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Q: The graph of the solution region for the system of inequalities is shown below. Locate all corners.…

A: we can find all the corner point of the graph .

Q: EXERCISES Evaluate each of the following integrals. 43. S Do dz I + ar Q² by using the reciprocal…

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Q: Find the line that is tangent to the graph of the equation 2x^y+3xy^2-2x=-6 at the point (3,0).

A: We have to find the line tangent to the given equation.

Q: Solve each of the following by forming exact differential (2y + 2xy2-xªy)dx +(x³ + 2x2y-x)dy-0

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Q: The criterion ||x^(k+1) - x(k)|| ≤ TOL, With TOL a preset error tolerance level and ||M|| a norm of…

A: The criterion ||x^(k+1) - x(k)|| ≤ TOL, With TOL a preset error tolerance level and ||M|| a norm of…

Q: Write an equation for a function that has a graph with the given characteristics 8. The shape of y…

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Q: that passes through the origin. Z = dz dt = 9te6z

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Q: If-y - x² = xy + 3 and it is known that dy dx find all coordinate points on the curve where x = 1…

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Q: Which ordered pair is in the inverse of the relation given by x2y + 5y = 9      A (2,1) B (-2,1) C…

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Q: Find f'(x) using the QUOTIENT RULE if f(x) = 6-2² 3+x² f'(x) = Find f'(4). f'(4) =

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Q: Find the gradient of f(x,y)=ln(x^2+y^2).    ∇f=__________ i+__________ j

A: Given query is to find the the gradient of the function.

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: inflection point =[2π,0] concave up= [2π,4π] concave down=[0,2π]

Q: Evaluate the integral by interpreting it in terms of areas. L₁ (5+ √1-x²) dx

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Q: When demonstrating that limx→2(2x+3)=7 with ε=0.2, δ-values suffices?

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Q: Use Implicit Differentiation to find equations of the vertical and horizontal tangents to the curve…

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Q: properties. 19. Both the function and the slope increase as x increases 20. The function increases…

A: To draw the graph of a function with given characteristics.

Q: Suppose a is a positive integer. Simplify the expression a Σ((n + 2)³ + n³ − 2(n+1)³). n=1

A: We need to evaluate∑n=1a((n+2)3+n3-2(n+1)3)

Q: 4. A farmer has 80 hectares of his farm available for planting maize and cabbages. He must grow at…

A: Total land= 80 hectares  Let, a hectare for maize and b hectare for cabbage.

Q: Graph the feasible region for the follow system of inequalities by drawing a polygon around the…

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Q: dy 5) Find the general solution of the non-homogenous differential equation : da x+y+4 5x + 5y +3

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Q: 3. Obtain the Particular solution of the differential equation (y² + when: x= 1 +7-x-y + 16-x²).dx +…

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