dr Vr – 9 3

Q: If f(æ) = 8 sin-(*), then f (2) =

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Q: Sx² sec2 x³ dx

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Q: Explain the step by step process to get the final answer Problem #2: Differentiate f(x) = [(3x* –…

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Q: १ Ind Sine B/sno=7J85 c)sino=4585 D) sind = S85 %3D 2. Find the lencth o& x. ত্वन्डउन0ी 46.3c84.3…

A: We have to find the solution

Q: 3u' = - 3x + 5y Solve the system of differential equations x' 2х + Оy l y' = 3x + 5y - x(0) = 3,…

A: We solve here given differential equations and find the value X(t) and Y(t).     Here i attached the…

Q: Solve the triangle. Round your answer to the nearest tenth. mLA = 37°, a = 28, c = 26 %3D m/B =…

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Q: ) Use implicit differentiation to find dz/dx and dz/dy for x² + y² + z² = 3xyz.

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Q: Give a solution to the system -Lis -10. 2 3 - 15 ¤(0) by solving the IVP with initial condition…

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Q: 4. 7. Suppose f(x)dx = -6, f(x)dx 6, and g(x)dx = 2. Evaluate the following integrals. 2 ... Jgndx =…

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Q: Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of…

A: We need to find dimension of the garden.

Q: dy Find the general solution for: -6y dx Select one: O y=C.e¯z О у y = C. e-6x O y = e-6x O None. O…

A:

Q: 10. Create examples of functions (and also justify why it works for each): a) Continuous and…

A: Given

Q: Given the function y = x3 - 5x2 - 8x + 3. Determine the following: a. maximum point b. minimum point…

A: The given function,  y=x3-5x2-8x+3

Q: 1. Algebra: Compile 1 application problem for introduction to algebra with solutions and correct…

A:

Q: B. For the curve y = x' + 2x? +4 a.Solve the normal line at point (-3,-5) b. Locate the possible…

A: Topic:- application of derivatives

Q: If f(x) = 7 sin(8a)sin-(x), f'(x) -

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Q: Find the area of the surface of the half cylinder {(r,0,z): r=6, 0s0Sx, 0szs5} using a parametric…

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Q: Question Suppose that the piecewise function f is defined by v2 +4, -6z+v6+5, z>1 -2<z<1 f(z) =…

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Q: 1. Find the volume of the solid generated by revolving about the indicated axis the area bounded by…

A: We can solve this as follows:

Q: Plot the polar curve r(0) = on [0,57].

A: Given that,  r(θ)=θπ on 0,5π

Q: (x+y–1)dx+(2x+2y+1)dy=0 Coefficients Lincar in Two Variables: %3D

A: The given equation is: (x+y-1)dx+(2x+2y+1)dy=0⇒dydx=-x+y-12x+2y+1⇒dydx=-(x+y)-12(x+y)+1...(1)

Q: Arcsin(x/y) = 4x + 3y

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | sec?(e) tan°(e) de…

A: Consider the integral  ∫sec2θ tan9θ dθ

Q: y = 2 (x² – 3x) (a) Find dy/dt when x = 2, given that dx/dt dy/dt = (b) Find dx/dt when x = 7, given…

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Q: Two automobiles start from a point A at the same time. One travels west at 80 km/hr and the other…

A: Topic:- application of derivatives

Q: dx x2 – 6x + 10

A: We can find the integration as below.

Q: 1. For the curve x²y? = 25 at (-1,-5), find the equation of the normal line. %3D

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Q: Find and classify all the critical points of f(x, y) = (x - 1)y2 - x3

A: Let's find.

Q: C) 8 +C

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Q: ydy (a2 (а? — у?)2

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Q: Solve the triangle. Round your answers to the nearest tenth. а %3D 23, с %3D 29, mLB %3D 102° mLA =…

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Q: For nos.2-7, do NOT integrate anymore. Just use the Laplace Formulas directly. If needed, apply the…

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Q: x sin(2x2)dx

A: We have to find the integral.

Q: Given mZC = 129°, c = 29, 6= 32. How many possible triangles, AABC, exist? Not enough information No…

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Q: Find AC. Round your answer to the nearest tenth. 14 ft 89° 8 ft 25 mi 16 mi 19 mi 17 mi

A: To find the value of AC

Q: a. Sketch the

A: answer is in next step

Q: x5V16x6 – 24x3 + 9 dx -

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Q: Evaluate each of the following limits. Тапx-x 1) lim x-0 x-Sinx 2) lim lnx – x² + x x-1 (x-1)2 3)…

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Q: What is an equation for the cosine graph shown below? 11 -10 6- 8 -7 -5 4 -2 1 -135 -90 -45 45 90…

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Q: 3. Evaluate . - dx. 9x -16 A) 27 In|9x - 16| +C B) Inpx -16 +C C) 27In|9x° +16 +C D) 27 27

A:

Q: Which of the following symbols denotes the operation of antidifferentiation? A) C) E B) F'(x) D)

A: In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or…

Q: Determine if the infinite series is convergent or divergent. n+1 n=0 n+3

A: Here we have to check whether the series is convergentvor divergent.

Q: . Evaluate sin 0 if cos 0 = 2/5 and 0 is in quadrant I. %3D Evaluato 000 A if

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Q: Find the area of the region enclosed by the graphs of x + (y – 1)² = 1 and 2x = -y?.

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Q: 1. S x(x2022+1) dx

A: The given problem is solved below in detail.

Q: 10% -10 -5 5 10 -5 -10 Find the direction angle of vector v to the nearest tenth of a degree.

A: The graph is To evaluate: The direction angle of the vector.

Q: 0.005t2 + 0.9 Suppose that in a memory experiment the rate of memorizing is given by M'(t) | where…

A: Topic:- application of integration

Q: Use substitution to determine whether the given x-value is a solution of the equation. -5 tan x= 3 O…

A: topic- trigonometric equations tan(-θ)=-tan(θ)tan(π-θ)=-tan(θ)

Q: 7. Evaluate [(5+ e*)dx. A) e* +C C) Ce* +5 B) 5x+e* +C D) 5+e* +C a d

A:

Q: Let f(æ) = tan-(sin(7«)) f'(x) =

A: Let's find.