Using the change of base formula, log, 10=7 log log(10) O In(20) O A h (10) O bg (10) log

Q: What is the component form of the vector represented by 6a when a = (-2, 3)? 6a =

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Q: Find any two non collinear vectors on the plane x-y-3z +6=0

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Q: Using the change of base formula, log47 = ? O log (7) log (4) O h(4) h(7) Olog (4) log (7)

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Q: Given f(x) = 2x² + 1 and g(x) = 4x - = 4x - 6, find the following. (a) f(g(2)) (b) f(g(x)) (c)…

A: Given functions are,Under guidelines we are suppose to answer only 1 or 3 sub parts.

Q: Determine the Cartesian equation of the plane containing these lines: y+10 z+2 L₁: = +70 = 23² and…

A: Normal vectorof the plane would be perpendicular to both the lines L1 and L2. So, parallel to L1xL2.…

Q: 24. y = x³, y = x 25. y = √√x, 26. y = cos x, 27. y = cos x, 28. y = cos x, y = 3x, 0≤x≤ 16 y = 2 -…

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Q: For what values of x does ƒ(x) = x - sinä have a slope of 1 on the interval [0, π] ? O O K|+ T 4 π…

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Q: 2 Use direct Substitution to obtain an undefined expre ther use the method of to simplify &…

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Q: Suppose the rate at which the volume in a tank decreases is proportional to the square root of the…

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Q: Suppose the cost of an object appreciates at a rate inversely proportional to the sum of its squared…

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Q: Find the value of c such that the line y = C = x + 3 is tangent to the curve y = c√x.

A: To find the value of  such that the line  is tangent to the curve .

Q: y"+4y'+4=e^(3x) solve this

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Q: First make a substitution and then use integration by parts to evaluate the integral [2 cos Answer:…

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Q: 1. Compute the given quantity: ∫∫(2xy)dxdy for x over the interval (0, 2) and y over the interval…

A: To compute the given quantity. for  over the interval  and  over the interval .Note: Since the…

Q: If R is the region between the graphs of the functions f(x) = 4x³ + 9x² + 7x-3 and g(x) = 5x³ + 2x²…

A: Two function are given÷f(x) = 4x3+9x2+7x-3g(x) = 5x3+2x2+17x-3We need to find the area between the…

Q: if f(x) True = False 1 {} if x # 0 if x = 0 2 then_lim ƒ(x) = 0 x 0

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Q: Using the method of "First Principles" and showing all steps, determine the 4 derivative of the…

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Q: Find and sketch the domain of the function: f(x, y) = 25-x² - y² In(xy)

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Q: 19. F(x, y, z) = yî + xyz ĵ – 2zx k, where S is the upward-facing paraboloid z = x² + y² lying in…

A: 19) Where, S is the upward-facing paraboloid  lying in cylinder From above curves the radius of the…

Q: Given the following piecewise function, find the values of a and b so that the function is…

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Q: The per capita growth rate of a population of cells varies over the course of a day. Assume that…

A: The per capita growth of a population of cells varies over the course of a day. Assume that time  is…

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: If ƒ(4) = 3 and fƒ'(4) = −5, find g'(4) where g(x) = √xƒ(x).

A: To find g'(4) where g(x) = sqrt(x).f(x)  also given f(4)=3 and f'(4)=-5Derivative using product rule…

Q: Find the derivative of y = ○ COS X 4 sin x - 4x cos x sin² x 4 sin x + 4x cos x sin² x 2 ○ 4x cos x…

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Q: 1. Use the graph off to state the value of each statement if it exists. a. lim f(x) x-1- b. lim f(x)…

A: As per guidelines, At a time only three sub-parts can be answered.Please repost for other…

Q: Compute the derivative of f(x) = x³e using the quotient rule.

A: The given function is .We have to find the derivative of the function using the…

Q: Suppose xe¹ - 4y = 3x + 1 + le¯¹ and y(1) = -1. Find: y (1) =

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Q: In exercises 13-15, let s be the hemisphere2 + ² + 2 = 4, with z ≥ 0, and evaluate each surface…

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Q: The polar equation r = 6 sin (40) graphs as a rose What is the length of the petals of this rose?…

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Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 3y² — x² + 4 and above…

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Q: Describe how these planes intersect. If they don't intersect explain why. T₁: 5x 10y + 20z - 10 = 0…

A: The equations of the given planes are,REQUIRED :We have to find whether the given planes intersects…

Q: Evaluate the integral by reversing the order of integration. 3 3 LL sin(x²) dx dy Y

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Q: x²-49 X-7x²-7x 2. Evaluate lim

A: To evaluate the following limit.Note: Since the student has posted multiple questions and does not…

Q: Show that y = √√C-2x² is a solution of the differential equation particular solution that passes…

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Q: 5. Find the absolute maximum of f(x) = x¹e-77 on [0,4]

A: The given function is,

Q: Suppose F(x) = f(x³), G(x) = (ƒ(x)) and: a² = 11, f(a)=2, f'(a)=14, ƒ'(a³) = 8. Find: (a) F'(a) =…

A: given given

Q: 4x³-13x²+3x+2 x²-4x+3 dx

A: I=

Q: For the following lines: L₁: x =− 3 + 3t, y =− 1 + 4t and L²: *3º = ³-2. a) Determine the point of…

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Q: Find the area bounded by the given curves. = 2x - x2, y = 2x - 4

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Q: Find the limit or state that the limit does not exist. 2x²-2x-24 9-x lim X-3

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Q: Evaluate the definite integral. WS¹ (x²-x²) dx

A: The Sum Rule:The Power Rule:

Q: 2. Determine the Cartesian equation of the plane containing these lines: z+2 x-5 z+5 3 and L₂: *5 =…

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Q: Evaluate the following: To evaluate the limit of the expression lim(x,y) →(0,0) (xy + 1)/(x^2 + y^2…

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Q: The plane x + y + 2z = 10 intersects the paraboloid z = x² + y² in an ellipse. Find the points on…

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Q: 25. Determine the value of k so that f(x) is continuous. Show work. x² - k 2x² + 7x-22 x≤2 x>2 x-2…

A: A function f(x) is said to be continuous at a point a, if Left hand limit and right hand limit and…

Q: Using the substitutions avand y = √u+v, evaluate the integral R is the region bounded by the lines y…

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Q: Calculus [The following integral can be solved in several ways. What you will do here is not the…

A: By using the trigonometric substitution , to evaluate the following integral.

Q: Assume that F(x,y,z(x,y)) = 0 implicitly defines z as a differentiable function of x and y. The…

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Q: Evaluate the following indefinite integral. 3 -dx

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Q: If a is a nonzero real constant, what is the following limit? x3 a lim xa x a4 Does not exist 1 2a 1…

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