f ₁ f(x) dx = 15, 0 these values to evaluate the given definite integrals. [ f(a) da = -10, [² g(x) dx = 12, L² 9(2) dr g(x) dx = -10,

Q: дz дz Use the chain rule to find and მs at z = ln(3x + 4y), x = s sin(t), y = t cos(s) дz as дz at…

A: z=ln3x+4y , x=s sint , y=t coss

Q: The average value of f(x) on the interval (a, b) is found by using the following equation. 1 fave =…

A: The given function is: f(x)=4x-x2 ;          0, 4

Q: 57. Yn = en 27

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Q: f(x) = 3x¹/3(x³ - 9).

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A: The curve of intersection of the parabolic cylinders x = y2 and z = x2 at the point (1, 1, 1). Find…

Q: Consider the following. dz Find by using the chain rule. (Enter your answer in terms of t.) dt dz dt…

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Q: Use the equations to find дz Әх az ду - дz Әх əz Әх = and ƏF Әх ƏF əz and дz ду əz ду x2 - y2 + z² -…

A: x2-y2+z2-6z=7∂z∂x=-∂F∂x∂F∂z∂z∂y=-∂F∂y∂F∂z

Q: Use Part I of the Fundamental Theorem to compute the integral exactly. 1₁ (x + 8x)dx=

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Q: Derive the formula by using integration by parts on the left-hand side. (Assume n > 0.) 1 [x²² dx =…

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Q: Find the accumulated present value of an investment over a 7 year period if there is a continuous…

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Q: Evaluate the definite integral. [° ( Z - ²3/) dx J₁ X

A: ∫16x6-9xdx

Q: Find h'(t) if h(t) = h' (t)= 6 1/6 6 5/7

A: We have to find firse derivative of function h(t).

Q: The radius of a right circular cone is increasing at a rate of 1.2 in/s while its height is…

A: r=135 in h=168 in Rate of increase of radius=1.2 in/sec Rate of decrease of height=-2.8 in/sec

Q: Given the set of parametric equations of a curve C defined by [0,5). x = ln(cost), y = sint, te 1.…

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Q: Evaluate the integral. 2x cos(9x) dx

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Q: 71. an 1 1 √n² + n² vật thổ v2nt 8 ≤an ≤ 1 √²n²

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Q: Solve the given differential equation by separation of variables. dx + e³xdy = 0

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Q: Verify that the indicated function is an explicit solution of the given differential equation.…

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Q: Determine x = f(t) for dx (t² + 6t). dt = 6x + 6, t> 0; f(1) = 9.

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Q: D. MEAN-VALUE THEOREM & ROLLE'S THEOREM Determine if Rolle's Theorem and the Mean Value Theorem is…

A: Note:- Since you asked multiple question , according to our policy we can solve only first question…

Q: Write the trigonometric expression as algebraic expression in u. cot(cos^-1u)

A: We have to write the trigonometric expression as algebraic expression in u. cot(cos^-1u).

Q: A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material…

A: A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material…

Q: If f is a differentiable function and f'(x) = x5-5x4+ 5x³+2, then fis concave up on

A:

Q: əz Use the chain rule to find and as əz əs əz at = = əz at z = In(4x + 3y), x = s sin(t), y = t…

A: z=ln4x+3y ,x=s sint ,y=t coss

Q: If an+1 an then the series Σ an n=1 is divergent Select one: True O False 4n+5 4n+7

A:

Q: 3. Use the Intermediate Value Theorem to show that there is some c in the interval (-1,0) at which…

A: f(-1) = (-1)³ - 3(-1) + 1 = -1 + 3 + 1 = 3.  f(0) = (0)³ - 3(0) + 1 = 0 + 0 + 1 = 1.

Q: 6) The velocity of an object on the interval 0 ≤ t ≤ 10 is shown in the graph below. If v(t) is…

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Q: If a company's marginal revenue function is MR(x) = xe-x/2, find the revenue function. [Hint:…

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Q: The series Σ n=1 convergent. (-1) " n 0.9 Select one: O True O False Give your reasons is absolutely

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Q: Evaluate the definite integral. 1 e² + 8 o e² + 8z dz

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Q: (a) Show that (b) Solve the equation -1 cos(2 tan ¹x): = (d) Find the general solution to cos 7x…

A: Note : As per our Guidelines , we can solve first part as your all parts not too small . Please…

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Q: Compute the partial sums S2, S4, and S6. S2 = S4 = S6 = 3 1.2 + 3 3 + 2.3 3.4 +...

A: First we find the sops of given sequence.

Q: Write the component form of the vector shown on the graph below. O O O Submit Answer

A: Given: We are required to: Find the component form of vector v.

Q: The growth of a colony of bacteria can be described by exponential growth. If the colony initially…

A: Pt=P0ert⇒P0=initial population⇒r=Growth rate⇒Pt=Population at time t⇒t=time in hours

Q: The equation (5)/(3)log_(4)(x)=9 can be written in the form x=2^(y) for some number y. What is y ?

A: We have to find the value of y. Conversion of log form to exponental formlogbm=x                 →…

Q: Use the ratio test to determine whether n2n n=29 (n+2)! Converges or diverges. (a) Find the ratio of…

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Q: 12. Practice similar Help me with this Use the Integral Test to determine whether the infinite…

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Q: Find the derivative of f(x)=x²-3x² +9 final answer with no negative efonents in

A: We know that the derivative of e^(mx) is me^(mx)

Q: Write the expression in standard form a +bi. Simplify your answer. 2 Cos A 78 + i sin ANSWER FORMAT…

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Q: Find the cosine of the angle between the vectors (1, 1, 1) and (8, -7, 12). (Use symbolic notation…

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Q: 9) Write an integral function that represents the position of an object at any time t given the…

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Q: Solve 4x cos(3x) dx using Integration by Parts. 4x 3 + sin 3x + 4 cos 3x + c

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Q: (iii) y = (3 + 2x)−5

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Q: Find the unit vector ey, where v = = (4,0,7). (Give your answer using component form. Express…

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Q: A Parabolic Trough A water runoff collector is built in the shape of a parabolic trough as shown…

A: Given:  Aim :  To find the equation of the parabola.

Q: √2 cos 0 + √2 sin 6, find the Cartesian equation of the tangent line v Given the polar curve r = to…

A: We need to find equation of tangent line.

Q: State the order of the given ordinary differential equation. (1-x)y" - 7xy' + 4y = cos x

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: Use the chain rule to find əz Əs z = (x - y)², x = s²t, y = st² дz at = and az z =…

A: ∂z∂s = ∂z∂x×∂x∂s using chain rulewhere∂z∂x is partial differentiation of z with respect to x keeping…