Write the following expression in the form ax + bx9, where a and b are real numbers and p and q are rational numbers. 5√x² +7 75 √ √x 5√/x² +7 75 √x (Simplify your answer. Use integers or fractions for any numbers in the expression.)

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A: To find out the derivative of the given function.

Q: Evaluate the definite integrals using the graph of f(x) below. 3 (0) [³ f (b) (c) f(x) dx = 5 [²1…

A: Given: Requirement of the question: a. ∫03f(x)dxb. ∫35f(x)dxc. ∫08f(x)dx

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A: The given function is:y=-3 tan2πx

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A: The region bounded by the graphs of y=x-2,x=4,y=-1

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Q: Determine the end behavior of f(x) = 2x³+x²-82-4 ²-3x+2

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Q: 79. Find the area between y = e* and y = e²x over [0, 1].

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Q: 10. Consider a continuous function f with the properties that f is concave up on the interval [-1,3]…

A: Solution (10) :::    Given,  f is concave up on the interval [-1,3] and concave down on the interval…

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A: Let f and f-1 be functions. If the point -4, 6 is on the graph of f, then to determine  the point on…

Q: What is the remainder when x2 + 15 x+9 is divided by x+5? O-41 O 49 O 42

A: x2+15x+9

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Q: Find the derivative. f(x) = x³. log4(x) Give your answer using the form below. XA(B + C logo(X)) A =…

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A: (22)  f(x)=x7+x+1we know d dx(xn)=nxn-1

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Q: Evaluate sin (¹3) 4

A: sin(13π4)

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Q: Let f = {(1, 2), (3, 4), (2, 6), (5, 9}. Find the domain of f

A: Given function  f = { ( 1 , 2 ) , ( 3 , 4 ) , ( 2 , 6 ) , ( 5 , 9 ) }

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Q: find the derivative of the function. g(x) = ² sin tdt

A: .

Q: Let {an} be a sequence defined by a = 1, a₁ = 4 and 20 There is a solution is of the form: an lan-1…

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Q: Find the derivatives of the function

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Q: Find the partial derivative of f(x, y) = 8x³ - 7xy² + y³ with respect to x at the point (2, 1, 51).

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Q: 10. Using your knowledge about graphs of inverse functions and their slopes, find the following. If…

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Q: Heat Generated in Resistor over the first 2 seconds: Qe-2t/(RC) dat joules Voltage of the Battery: V…

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Q: Solve the following by forming exact differentials. dy dx = (x+3y - 2)²

A: dydx = x+3y-22

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A: Logarithm

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A: fx=x2+10x+20 Comparing this with quadratic equation  fx=ax2+bx+c We get,  a=1,b=10,c=20 So,…

Q: 5. Verify that f(x) = x³ + 3 and g(x) = (x − 3)¹/³ are inverses by showing - that f(g(x)) = x and…

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Q: 4. Name three different pairs of polar coordinates that also name the point, (-1,-), if- 2π ≤ 0 ≤ 2.

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Q: 13) f(x,y)=xe x

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Q: 8) A ship leaves the Port of Miami and sails 60 kilometers due east. The captain then brings the…

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A: y=tanx2x-3formula used (i)  d dx(xn)=nxn-1(ii)  d dx(tanx)=sec2x(iii)  d dx(ab)=b×d dx(a)-a×d…

Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. log3(92.24)…

A: let  M=log392.24from properties of log function (i) logaa=1(ii) logxn=nlogx(iii)  loga.b=loga+logb

Q: (b) Where is the graph of f increasing? O [-2,-0.47] and [-0.63,0.63] O [-0.47,0.47] O [-2,-0.47]…

A: given function is ;- f(x) = 3x3-2x    and   x∈[-2,2](a) graph :- option (a )   be correct