3 ¹₁ (4x² + 7x²) dz 1 Find

Q: If ¹f [ 2³ sin ædæ = −2³ cos x + 3x² sin æ+ 6x cos a - 6 [ f(x)dæ, then f(x) = a. x cos x b. sin x…

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Q: If f(x) = 1- log5 , then f-¹(x) =

A: Given that a function f(x)= 1 - log5x and we find f-1(x) .   Here i attached the solution of this…

Q: How would you express a line with a zero slope? x = 0y - b y = 0x + b x = 0y + b y = 2x - 2b

A: Solving the problem by finding the zero slope equation.

Q: 2. S (x+1)dx x²(x-1)

A: We can find the answer in the following steps.

Q: Which of the following is an example of an inequality? 60 + |-3| = 63 60 + 2x < 120 60 - 2(15) =…

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Q: 8. Integrate the following definite integrals. Express answers in exact form (no decimal fractions):…

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Q: `11,  Find a function  f(n)  that identifies the nth term  an  of the recursively defined sequence,…

A: The solution is given below

Q: This exercise uses the radioactive decay model.. The half-life of radium-226 is 1600 years. Suppose…

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Q: The function whose derivative is given by f'(x)=(x-¹), x 2. What is the #+2 critical point of f?

A: Critical point of a function is a point where either the derivative of function is zero or not…

Q: 21. Find div(F), where F(x, y, z) = xyzªi+x²zªj +4x²yz³k. a) -4xyz³+xz4 b) x²y+xz4 c) yz + 3x²yz² d)…

A: Topic = Algebra Correct option = d

Q: IV. Fill in the blank to make each statement true. Use correct notations. 4. The graph of y = sin x…

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Q: Sample space S is partitioned into E₁, E₂, E3, and E4 such that P(E₁) = 0.17, P(E₂) = 0.05, and…

A: We have to find the value of P(E4), the odds in favor of and the odds against E4 occurring.

Q: = 5. Prove the identity: cot(A + B) cot(A − B) = cot² B tan² A tan² A cot² B-1

A: To prove cotA+BcotA-B=cot2B-tan2Atan2Acot2B-1

Q: For each positive integer n, define an = n² sin +∞ 1. Determine if the sequence {an} converges or…

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Q: What is the equation of the tangent line to the curve y=−5x^2+4x+7 at x=-1? Write the answer in…

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Q: [2 2x log 2x dx

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Q: The area of a rectangle is given by the function A(x) = 3x³ + 6x² + 4x + 8. If the length is defined…

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Q: 4. Verify if the following equations general solution: are exact and find the 2 9. 2xydx + (1 + x²)…

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Q: If what does the following integral equal? [q(w)dw = [ [²³q(w)dw = 12 and q(w)dw = 9.4 1. 2

A: This question can be solved using the concept of definite integrals.

Q: what does the following integral equal? L 9(2)dz - [ = ['s g(z)dz = 23 and g(z)dz = 6.5

A: Given:             ∫-9-1gzdz=23              ∫-4-1gzdz=6.5              ∫-1-4gzdz=-∫-4-1gzdz

Q: IV. Fill in the blank to make each statement true. Use correct notations. 2. If ƒ(x) = 1 – log5 x,…

A: The objective is to find inverse of f.

Q: Mammator Mbaye ) Find the derivative of the expression - carefully. Do not simplify. (81) - 24r + 22…

A: To find out the derivative.

Q: During the first year with a company, Finley was paid an annual salary of $56,000, with a 6% raise…

A: Given that, the annual salary is $56,000, the interest rate is 6% per year. Note that, the formula…

Q: Evaluate the definite integral: 0.8 4ze-2%dz = -0.2

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Q: Find the equation of the sphere in standard form that satisfies the given conditions. diameter PQ,…

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Q: Consider the function f(t) = 6 sec²(t) - 6t³. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: The given function is: ft=6sec2t-6t3   As we know that; The expression for the antiderivative:…

Q: Use integration by parts to find the antiderivative of f(x) = ln(x).

A:

Q: 1 cos³x -dx =

A: The given integral is 1/Cos3x.

Q: Provide the complete solution (typewritten if possible) for the item below. Consider the plane π…

A: The equation of the plane π is given as , x-2y+3z-1=0 and the line l is x=1-y2=z+1 Find the…

Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

A: Given: Rx = 46x- 0.04x2 , 0≤x≤900 To find the interval of increasing and decreasing, we have to find…

Q: Which of the following graphs represents (x + 1)² = 8(y - 3)?

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Q: Using Part I of the Fundamental Theorem of Calculus, evaluate: d da 12 to dt =

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Q: Evaluate the following limit: lim 2²-25 x→2 2-5 O Does not exist. 0-7 07

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Q: Consider the plane π : x − 2y + 3z − 1 = 0 and the line l : x = (1 − y)/2 = z + 1.      1.      Find…

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Q: 4. Determine the maximum point of the the graph of y = 1 — 2 sin(π – 2x), for x = € [−π, π). 3.

A: Let's find maximum points of trigonometric function.

Q: Find the Fourier series for the following functions: {3¹ f(x) -2≤x≤0 0≤x≤2

A: Given functionf(x)=-1     if   -2≤x≤03        if       0≤x≤2

Q: 2).  Suppose that  ∞ n = 0 an(x + 4)n  converges at  x = −5.  At which of the following points…

A: Given that, the series is ∑n=0∞anx+4n, the series converges at x=-5. Rewrite the∑n=0∞anx+4n as…

Q: 3. Find the domain of f(x) = = 1 1 X X 3.3

A:

Q: : x-2y+3z-1 = 0 and the line 1 : x = Consider the plane 1. Find the point of intersection of and 1.…

A: Given: x-2y+3z-1=0x=1-y2=z+1

Q: A particle is moving with acceleration a(t) = 6t+ 6. its position at time t = 0 is s(0) = 11 and its…

A: GIven: a(t)=6t+6 s(0)=11 v(0)=9   We know that, the integral of acceleration with respect to time…

Q: Consider F(x,y,z)=(e³+e²²)₁²+(e¹+z)j + (2xze²²+y)k. Please answer the items below including all…

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Q: Find the volume of the solid generated by revolving about the y axis the region under the curve…

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Q: A ball bounces to a height of 6.1 feet on the first bounce. Each subsequent bounce reaches a height…

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Q: For the following exercises, consider a pizzeria that sell pizzas for a revenue of R(x) = ax and…

A: This question can be solved using the concept of maxima and minima.

Q: Let C = C₁ U C₂ U C3, where C₁ is the line segment from (-1, -1) to (0, 0), C₂ is the line segment…

A: Answer is in next step, please give a like!!

Q: (i) Consider the function f: R\{-2,3} → R defined by 2x³4x²5x - 3 x²-x-6 f(x)= - (a) Prove, using…

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Q: The total cost of producing x newspapers is given by the function C(z) = 20x-x². Find the marginal…

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Q: S= dx 3+ sinx+cos X

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Q: Express the limit lim n→∞ a = n b = i=1 Provide a, b and f(x) in the expression (6 cos² (2πx)+5) Ax;…

A: To find value of a, b and f(x).

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = and y = (Use…

A: