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

Q: 2) Where on the curve f(x)= 1 1 + x² does the tangent line have greatest slope?

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Q: Given the functions f(x) = x² − x and g(x) = 2x − 3, evaluate and simplify the composition f o g.

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Q: 6. f(x) = X a. lim f(x) x-0* b. lim f(x) X-0 c. lim f(x) X-0

A: f(x)=|x|/xFind the limit at 0.Find the right hand limit and left hand limit at 0.

Q: 2x Find the derivative of Y = e²ª sin¯¹(x) + ln(x) y

A: y=e2xsin-1x + ln(x)Find the derivative of the given function.

Q: dw Use the Chain Rule to find where w = sin 8x cos 2y, x=, and y=t4. dt dw dt (Type an expression…

A: Using to chain rule :

Q: Evaluate W(3,-1) for the function W(x,y) = 4x^2 + y^2

A: W(x,y) = 4x2 + y2Find W(3,-1)

Q: b) Find all the values of a and b such that the plane and the line will always intersect at a single…

A: We have to sove part b and cPlease select text to grab.

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: 1. у ул y=3x - x² 0 y=x (2, 2) AX

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Q: R be the region bounded by the graph of y = 5√√x + 3, the x-axis, the y-axis, and the line x = 4.…

A: According to guidelines we solve only first question.

Q: For the function y = 3x², find the average rate of change of f (x) on the interval [1,4]. 20 15 O 5…

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Q: The terminal ray of angle drawn in standard position passes through (2, -3). What is the value of…

A: given the terminal ray of angle  drawn in standard position passes through (2,-3)

Q: Evaluate the integral ſ 36-x2 + C 36 dx 2²√36-22 using trigonometric substitution. Note: Use C for…

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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: Evaluate the double integral. y 162²2², 04. + dA, D = {(x, y) | 0≤x≤ 7,0 ≤ y ≤ √√x}

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Q: Find the linearizations L(x,y,z) of the function f(x,y,z) = 6xy + yz + 7xz at (1,1,1), (1,0,0), and…

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Q: Thanks for answering. That one was correct . Please could you also answer the second one?

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Q: (VI 1 1+t-4 6 tv1+t / 1 t/1+t-4

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Q: 3. Differentiate and simplify in fully factored form. a) f(x) = (1+x²2) 3 b) y = (3x² + 4)²(3 + x³)5

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Q: √x+1 x-1 x-1 a) lim 72²²x²-1 2. X X c) lim x→0 b) lim x³ +8 x→→→2 x+2

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Q: A solid of revolution is generated by rotating the region between the x-axis and the graphs of f(x)…

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Q: The graph of f(x) is shown below. Find the graph of f'(x). 7 6 5 4 3 2 H -7-6-5-4-3-2-1 1 2 3 4 5 6…

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Q: Use Lagrange multipliers to find the points on the cone z² = x² + y² that are closest to the point…

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Q: Find the derivative of the given function. y = (x2 - 4x + 4) e9x/4 기 = dx

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Q: State the domain for the function f(x) = log4(x): Use the paper

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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: If f(x) = x¹ +3, g(x) = x − 9, h(x) = √x, then fogoh(x)=

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Q: the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: We have to integrate the given function.

Q: 19. f(x²+2x-4) dx 20. f, x100 21. (-²+31) dr 22. ·S' (1-80² +) 16v¹) du 100 dx

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Q: Evaluate the integral. 2 0 X-2 -dx 2 x - 4x + 5 12-20 X-2 dx≈ x² - 4x + 5 0 (Type an integer or…

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Q: Find dy. y=3 In (2+x²)

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Q: Consider A ABC, where a = 8, c = 11, and m/C = 33°. What are the measures of the missing angles and…

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Q: Use logarithms to solve the equation for t. 20 1 + 5e-0.6t 10

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Q: 1. when the a value is a fraction between 0 and 1, then the graph is compressed true or false 2.…

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Q: Monthly sales of a particular personal computer are expected to decline at the following rate of…

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Q: Consider the integral integrals: 3 -y ³³ f(x, y)dady. If we change the order of integration we…

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Q: Find the derivative of h(x) 3 4 sin x COS X sin x COS X 2 COS X 1+ sin x - 3 cos²x (1 + sin x)³ 2…

A: To find the derivative of .

Q: sketch and find the area of the plane region bounded by the given curves y = (x²-1)², y=1-z²

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Q: d the derivative dr do for r 2007 cos 0 =

A: We find derivative value.

Q: Price of Perfume The monthly demand for a certain brand of perfume is given by the demand equation p…

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Q: Determine whether the following improper integral converges and, if it does, calculate it: S [Hint:…

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Q: practice question - 11.32 Gwanda has the following equation for a sphere: (x^2) + (y^2) +(z^2) -…

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Q: 1 Si 1+z2 da is convergent because 1+z² Jhry sin x and ₁ sin² x dx is convergent. sin² 2.₁ side is…

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Q: Use the chain rule to find z = sin(8) dz дz and əs at r = st, 8 = s³ + ³

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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: 1. Given the points A(2 -1, 1), B(2, 3, 0) and C(4, 3, -4), find the vector, parametric and…

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Q: dN A chemical substance has a decay rate of 8.9% per day. The rate of change of an amount N of the…

A: Solving the problem

Q: Q21.44 Identify all unit vectors that have an angle of T/3 with the positive section of the x-axis,…

A: To find unit vectors with specific angles with each of the positive axes, we can use the spherical…

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

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Q: A large tank is filled to capacity with 400 gallons of pure water. Brine containing 2 pounds of salt…

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