Write an equivalent exponential equation. 2 log 8 4= 2 /3

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. 4x? + 9x?…

A: The given equation,     4x2+9x2=25, 2,-1

Q: Find two numbers whose difference is 40 and whose product is a minimum. (smaller number) (larger…

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Q: Sdx/(1-2x) = 1/2 In[1-2x + C Select one: O True O False S(8x + 2x) dx = 2x4 +x2 Select one: O True O…

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Q: Why do we use radians rather than degrees in Grade 12 math? You may use examples to explain your…

A: We use radians rather than degrees because of below reasons.

Q: Find the open intervals on which the function is increasing or decreasing. Apply the First…

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Q: Suppose that enrolment in CLSU has been increasing over the years since year 2013 according to the…

A: Given query is to find the enroy in 2022.

Q: Grien that the graph of fx) passes throush the point (7,4) and that the slope of its tanger line at…

A: Given problem:- Given that the graph of f(x) passes through the point (7,4) and that the slope of…

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A: topic - application of derivatives

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: Given

Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 20, (1, 4, 5) (b)…

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Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

A: We need to find minimum distance.

Q: If f(x) = e%g(x), where g(0) = 5 and g'(0) = 2, find f '(0). %3D

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Q: (e2y – y) cos a = e" sin 2r, y(0) = 0

A: Solution is given below:

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. y = x V16…

A: Equation of tangent line Consider y=x16+x2slope of the tangent line is dydx  at…

Q: 2. The function g(x) is defined for -3 Sxs 3. The behaviour of g'(x) and g"(x) is given below. -3…

A: To answer the given question using the given tables of g'(x) and g''(x).

Q: Given vectors a = (-1,-2),5= (-2,3), c= (3,-1),đ = (-3,2) find the dot product of 5 and d. -12 -1 12…

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Q: 3) roțațion 90° counterclockwise about the origin

A: We know that,  90° counterclockwise rotation: (x,y) becomes        (-y,x)

Q: function fo) = 7X1+10x10x3_4 Qn Antiderivative of fo) is F(x) = Axn+ Bxm, CxP+Dx: A= 710 %3D where…

A: Solve the following

Q: Find Sc F · dr for F = 3yi – (sin y)j on the curve counterclockwise around the unit circle C…

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Q: Find the general form of f if f'(x)= 9f(x). f(x) = ]

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Q: At which points on the curve y = 1 +°40x³ – 3x³ does the tangent line have the largest slope? | (x,…

A: Maximize slope

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(1,…

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Q: Jdx/(1-2x) = 1/2 In1-2x + C %3D Select one: O True O False S(8x + 2x) dx = 2x4 +x² %3D Select one:…

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Q: Find the dimensions of a rectangle with area 216 m whose perimeter is as small as possible. (If both…

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Q: 1. Solve the given the equation using the integrating factors found by inspection. ydx + (x + x³…

A: Given that ydx+x+x3y2dy=0Solution :ydx+x1+x2y2dy=0this diffrancial equation in the…

Q: what is the area between the curves: y = 7 cos( pi*x),    y = 12x2 − 3

A: 7cos(πx) and 12x2-3

Q: Given: -8 17 sece = -17/15 17/8 -17/8 17/15

A:

Q: B.(Straightforward) Solve the separable ODES: (a) dy/dx = y/x². (b) dx + secх dy — 0. (c) x dy/dx =…

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Q: Example 2 Compute (a) (1+i)/(3-i) and (b) (1+i)4.

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Q: Si x³VI+x* dx? After substitution is performed, what is equivalent to 82 4 vũ du 82 Vũ du 82 Vu du 4…

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Q: Which of the following is not correct? 4dx 4dx A Jo Jx(x+6) = lim o Vx(x+6) C+ .3 dx .3 dx B h…

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Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

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Q: Find the value of x for which the value of the function f(x) = x +3x2 - 2 is minimum? %3D Answer:…

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Q: A tractor pull contest is held at a county fair. The tractors in the contest pull a sled on which…

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Q: Зx-5 The function f(x) = is discontinuous for what value of x? 3 2-3x x = 4/3 O x = -2/3 X = 2/3…

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Q: 1. Which of the following is the solution to the equation below? cos? æ + 3 cos a – 4 = 0 x = 1+…

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Q: 3x-4 1. Y= Arctan 4

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Q: of Find (1.-7) if f(x.y) = 2x2 + 4xy - 5y? + 4x - 9y - 9. dx of (1, -7)-O (Simplify your answer.)

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Q: Given the function below find the value of f(-4). * if x -5 2x² + 1 f(x) = O -67/16 None of these O…

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Q: 4. Given f(x) =x+-: a) Find all asymptotes and state their equations. b) Find all local max/min…

A: According to Bartleby guidelines I can only answer the first three sub-questions of the given…

Q: 10. ſ csc²e cot ôni- 5 cot ê dê

A:

Q: ) = sin x + cos(1+x²) – 1 ng secant method with initial guesses x, = 1.5 x1 = 2.5 each item to a…

A: To solve the problem using secant method

Q: (x^3)dx+(y^3)dy=0

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Q: true or false 1. ∫dx/(1 - 2x) = 1/2 ln|1 - 2x| + C 2. ∫ (1 - 4x4 + x3)/x3 dx = 1/(2x2) + 2x2 - x…

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Q: 1. Solve the given the equation using the integrating factors found by inspection. ydx + (x +…

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Q: Given: -8 17 cose 15/17 -8/17

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Q: Suppose the position of a particie is given by parametrc equations x(e) = -3 and y(t) = 2?. (a) Find…

A: The given data is: xt=t3-3yt=2t2  (a) To find the particle's position (x,y) at t=3

Q: Graph the equation below. Choose the correct graph. y = 5.5* OA. O B. OC. OD.

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Q: Find the general solution of (x+2y-4)dx-(2x+5-y)dy = 0

A: The given differential equation is  (x+2y-4)dx-(2x+5-y)dy=0

Q: Using Integration by parts, evaluate: ſ x³Vx³ + 1dx Your answer

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