Differentiate. y = log 4 (x+x) -log 4 (x6 + x) dx =

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Q: Given: f(x)= = 1 2¹ and g(x)=√x +3 2-x Find the domain of f(g(x))

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Q: Suppose the density of a wire is given by p(z) = 0.6 +0.09 sin(27) kg/m, where is the distance from…

A: NOTE: Refresh your page if you can't see any equations. . the given density function is the length…

Q: 4.3 Stretching (a) Let f(x) = r². How do the values of f(0) and 2f (0) differ? (b) Let f(x) = 1².…

A: Solution

Q: 5. Choose the correct answer for the number of (a) the vertical asymptote(s) (b) the horizontal…

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Q: ty"+ t²y' - (Sint) √ y = t² - t +

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Q: Find the equation of the tangent line to the curve xy+x=2 at the point (-6, -4/3). Write the answer…

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Q: .   Use Simpson's rule with  n = 4  equal subintervals to approximate the following. (Round your…

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Q: Find the solution of each of the following initial value problems. y(0) = 1 (a) y'-y = 2te²t, (b) y'…

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Q: dy Write the function below in the form y=f(u) and u = g(x). Then find as a function of x. dx y = -…

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Q: Find all the second partial derivatives. f(x, y) = x6y5 + 2xºy fxx(x, y) = fxy(x, y) = fyx(x, y) =…

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Q: Given that lim f(x) = 1 X→ 3 find each limit, if it exists. (If an answer does not exist, enter…

A: Given query is to find indicated limits.

Q: i) S 3+6x+4x² −2x³ (x4+3x²) ·dx

A: The given integral is (3+6x+4x2-2x3)/(x4+3x2).

Q: 4

A: Concept: Given: Demand for the education: P=75-Q Supply for the education: P=2Q Due to decrease in…

Q: Use the step-by-step or Euler method to solve numerically each of the following. (b) dy/dx = x+v,…

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Q: The function f(t) gives the height of a ball, in feet, t seconds after propelling it upwards into…

A: Height of a ball after "t"  seconds of throwing upwards in the air is given by the function…

Q: dI (a) dy = -2xy, (b) xy' + 3y = 0; y(1) = 2, (o) +27= 10; 7(0) = 0, dx

A: According to guideline I can answer maximum three subparts.

Q: The daily cost per unit of producing a product by the Ace Company is 35+ 0.2x dollars and the price…

A: To find out the revenue function, cost function, profit function, marginal profit.

Q: (b) dy 3-4012 4xy + by2 ; dz = (1) y(1) = -1

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Q: Expand log₂ 64a4 b6c4

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Q: Evaluate 10 ļ 1 7ln x X dx.

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitue take…

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A: The question is different . Here , differentiate w.r.t to n

Q: Draw the region of integration and reverse the order of integration to 1 I T.C. Y evaluate the…

A: The given integral is: I=∫01∫y1ex2dxdy The bounded region by the curves x=y, x=1 from y=0 to 1 is as…

Q: the limit is positive or negative infinity. If the limit does not exist as a finite number or as…

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Q: Assume x and y are differentiable functions of t, related by the equation: x2+xy-y2=-31 If x = -3,…

A: Given x2+xy-y2=-31   ....1 and dydt=-1x=-3y=5

Q: SOLVE FOR THE DIFFERENTIAL EQUATION OF THE GIVEN FAMILY OF CURVES. complete solution 1. Circles…

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Q: 20. 8] n=1 2² 5n+10

A: D'Alembert Test: Let ∑n=1∞un be a series such that, limn→∞un+1un<1 Then this series is…

Q: F Amplitude: Period: 856 Based on the graph above, determine the amplitude, midline, and period of…

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: We can find the limit .

Q: Let u, ER" prove that ||ū + ï|| ≤ ||ū|| + ||v||

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Q: Find the polar form for zw, z/w and 1/2 where: z = 2(1 + i), w = 3(1+√√3i)

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Q: In Exercises 5-14, determine the convergence of the given series using the Ratio Test. If the Ratio…

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Q: For the constant numbers a and b, use the substitution z = a cos² u + b sin² u, for 0 <u<, to show…

A: This question can be solved using the concept of integration by substitution.

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

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Q: Determine the domain and range of x) = (x + 2)²

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Q: Name: 1. Find the value of b for which the given equation is exact. Then solve it using that value…

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Q: Eliminate the arbitrary constants. y = We-x + Ve³x

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Q: 6.) Find the limit (if it exists). 6x² + 3x + 10x²+x+ lim x+²)

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Q: Question 16 of 30 Step 1 of 1 01:28:22 You just bought a fish tank that is 27 in. long, 24 in. wide,…

A: Given query is to find the volume of the fish tank.

Q: Find an equation of the tangent plane to the given surface at the specified point z = 6(x - 1)² +…

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Q: The slope of line tangent to y = x² + 2x at P(1,2) is: A. 1 B. 2 C. 3 D. 4

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Q: 3-7 Use the method of cylindrical shells to find the volume generated by rotating the region bounded…

A: 7) Given:         y=x2 , y=6x-2x2 Equating the curves:     x2=6x-2x2     x2+2x2=6x     3x2=6x…

Q: 1) Use the equation y = f(x) from part 1) and solve for x = g(y) as a function of y. = f(x)=7x=49…

A: We have to use the equation y=f(x) and solve for x=g(y) then we have to find L

Q: The equation y +y-xy = x' defines a curve in the xy-plane called an elliptic curve. (a) Find the…

A: Given equation is is y2+y-xy=x3   .....1

Q: Consider the graph below of the function g(x) to evaluate the integrals The graph consists of two…

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Q: 1. f(x). = X+I

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Q: (e) Finally, consider f along rays emanating from the origin. Note that these are given by y = mx,…

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Q: Describe the surface. x² + z² = 7 O sphere O ellipsoid O hyperboloid O circular cylinder O elliptic…

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Q: 3) Use the appropriate integral formula for the length of a curve represented by a function y = f(x)…

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Q: Use the IVT (intermediate value theorem) to show that the given polynomial f(v)= 2v2 + 3 - 3v has a…

A: Here we have to use the intermediate value theorem.