Q: 5. Write an equation of the line tangent to the circle x? + y? = 29 at (5, 2).
A: Topic - tangent to the circle
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A: GIVEN: One side of a right triangle is known to be 26 cm exactly. The angle opposite to this side is...
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Q: Prove that: 2e 2 tan e <(tan'e)}. Ve +1 + Je +1
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Q: Próvé thát: 2e 2 tan e <(tan'e)- Je +1 Je +1
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A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...
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A: here given that 6 sinh(x) + 3 cosh(x) the value of sinh(x) and cosh(x) are.. sinh(x) = ex/2 - e−x/2...
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A: In this we have to find out the gradient first then the projection equation so I'm providing hand wr...
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A: Topic :- Coordinate Geometry
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Q: Calculus Question
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Q: a A B Let a = 8, b = 4 and c = 5. Find the measure of angles ZA, ZB and ZC. Give your answer in degr...
A: In given triangle ABC, sides are given : a=8, b=4, c=5 We need to find ∠A, ∠B, ∠C.
Q: How to prove that if f(2)0, then f(x) = 0 for some 2< x <5.
A: From the intermediate value theorem, If the function has f(a)<0 and f(b)>0 or f(a)>0 and f(...
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Q: 5. x dy – (2x In x + y) dx = 0
A: Using method of Linear Differential Equation.
Q: Question 10 x³ , x<2 |ax² + b , x 2 2 Let f(x) = . Find the values of a and b so that f'(2) exists. ...
A: The objective of the question find the value of a and b where f'(2) exists.
Q: 1. Find a cartesian equation for the curve r² sin 20 = 8.
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Q: Find a formula for the sum of n terms. Use the formula to find the limit as n → o. 8 lim i=1
A: Explained below
Q: sec² x 12. S 1+tanx
A: here we use ddxtanx=sec2x see below the calculation and answer s
Q: Find the standard form of the equation of the circle. Center: (1, -2); point on circle: (-2, 2)
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Q: A.INSTRUCTION: Evaluate the following Functions (2): fx)= 2x - 6x + 5 /(- 6): f(x) = V3x – 5 S(4): /...
A: Topic - functions
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Q: Question 11 What is the derivative of y =V x3 -2x² +x -2,
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Q: Both x and y denote functions of t that are related by the given equation. Use this equation and the...
A: Explanation of the answer is as follows
Q: i need the answer quickly
A: Given, a) b)
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A: We need to find h'(-2), k'(1)
Q: determine dy os the parametric equations dx² It and yct) = t3 - 6t
A: differentiate it with repsect to t .
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A: First we are going to calculate derivative and then comparing with given to find out the required va...
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Q: In a certain chemical manufacturing process, the daily weight y of defective chemical output depends...
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Q: Find the centroid (ã, §) of the triangle with vertices at (0, 0), (2, 0), and (0, 8). || 18
A: Recall: Centroid of a Triangle with vertices are (x1,y1) , (x2,y2) and (x3,y3) is x1+x2+x33,y1+y2+y3...
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A: Given, y=x5sinx tanx
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Q: If a company has total costs C(x)= 14,000 + 15x + 0.2x2 and total revenues given by R(x) = 285x - 0....
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Q: Find the area and centroidal distances of the curve that lies between the equations y=4-x^2 and y=x+...
A: Consider the region bounded between the curves is as shown in the figure below: Here, the objective...
Q: Let C be the curve y = 8x° for 0 < x < 2.8. 162 144 126 108- 90- 72 54 36 18 0.5 1.5 2.5 Find the su...
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Q: x' = 4(3x + 2y) ; the curve passes through the point (1, 0)
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Q: To find the arclength of y 2x 2 from x = 0 to x = 2, which is the correct integral? OL = I Vi+ 16a*d...
A: Explanation of the answer is as follows
Q: What is the inverse of the function f(x) = 5x – 4? a. f'(x) = (x – 4)/5 b.f' (x) = (x + 4)/5 c.f"(x)...
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Q: (64 Sinu(6t) lt
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Q: 2. t² dy = (8 ln² t – ty) dt
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Q: In exercises 23–28, determine all horizontal and vertical asymp- totes. For each side of each vertic...
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Q: Consider the function f(x.y.z) =x + 2y? + 3z? +2, the point P(4,0,4), and the unit vector u = a. Com...
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Q: Prove that: <(tan'e) + Je Je? +1 2e 2 tan e e² +1
A: Consider a function, y=tan-1(x)2+2x2+1 Now differentiate it with respect to x, dydx=ddxtan-1x2+2x2+1...
Q: Use the point on the line and the slope of the line to find three additional points through which th...
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