Find the direction angle of the vector. Round to the nearest hundredth of a degree for the angle. p =< 12, -34 >

Q: 5. Given F"(x) = -4 sin (2x) and F'(0) = -4 and f(0) = 2 Find f(1/2)

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Q: Find the sum of the first five terms of the sequence. 1 a₁ = 5; an = n 1 1 n+1' n22

A: To find the sum of the first five terms of the sequence. a1=5, an=1n-1-1n+1, n≥2

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A: Given that, T(t) = 22+ 68e-t53 We know average value in [a, b] is, Tavg = 1b-a∫abT(t) dt Here, we…

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A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: a) A Particle is moving along a hyperbol sec XY = 18 As it reaches the point (6,3), the Y-…

A: As these are two different questions, I've solved the first one here. Kindly repost the b question…

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A: We have to evaluate the surface integral.

Q: o functions are given as f(x) kx- 2 and g(x) he two composite functions f(g(x)) and g(f(x)) are…

A: The given functions are;  f(x)=kx-2 g(x)=kx+4

Q: 4) Find the curvature of y = e* at the point (0, 1). Then find the equation of the osculating circle…

A: Given:    y = ex  Point: ( 0, 1 )

Q: f(x) ²-7 2 6 X if 0 < x <b if b <x (9) Determine a value of b for which f is continuous at b. (b) Is…

A: We have to find whether the function is continuous at the point x=b or not. A function f(x)…

Q: are there any holes for this function,verticial or horizontal asymptotes?

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Q: Find the area of the region enclosed between ƒ(x) = x² − x + 7 and g(x) = 2x² + 1. - Area =

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Q: A bucket begins holding 30 kgs of sand. The bucket is to be lifted to the top of a 20 meter tall…

A: We have the formula, F=ma In our case, m= (30-0.3x) a=9.8 Therefore, F=(30-0.3x)9.8 =294-2.94x

Q: For the series given, determine how large n must be so that using the nth partial sum to approximate…

A: ∑k=1∞1k4;En≤0.000015

Q: QUESTION 4 Determine the number of triangles with the given parts. b= 10, a = 65°, y = 132° 0 1 2…

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Q: Determine the magnitude of the vector difference V' = V₂ -2V₁ and the angle 0x which V' makes…

A: Given data  v1 = 34 unit θ1 = 34°v2 = 24 unitθ2 = tan-1( 65 ) θ2 = 50.1944°

Q: 28. DETAILS 77 6 PREVIOUS ANSWERS Determine whether the series is convergent or divergent by…

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Q: Find an equation for the contour of f(x, y) = 2x²y + 15x + 15 that goes through the point (4, –1).…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: 7) Write an expression that can be used to find the average value for the function g(x) over the…

A: The function is gx The interval over which the average value of the function is to be evaluated is…

Q: Given the sequence an +4): In 2+ This sequence is Select an answer This sequence is Select an answer…

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Q: Find the integrating factor u(x) of y′+4y − ln(x) = 0 - such that (0) = 1. μ(x) = > Next Question

A: y'+4y-lnx=0  y'+4y=lnx This is in the form of y'+pxy=qx which is linear differential equation. Whose…

Q: Inx 2) Find the average value of the function g(x) = over the interval [1, e].

A: Given the function g(x)=lnxx over the intercal [1, e].

Q: Exercises 77-78: Critical Thinking ing for the given graph of an exponential function f. (a) Give…

A: To find the following for the given graph of an exponential function f. (a) To give the domain and…

Q: Find the length of the function r = (9-2t, 4 + 2t, √2t²) on 0 ≤ t ≤ 1. For the vector function from…

A: NOTE: Refresh your page if you can't see any equations. . the given interval is  which means the…

Q: Find st not the X values (if any) Where snon ultues отх 9-х F(x) ) x + 5 X²³-25 f 04 X at which f(x)

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Q: Find the volume of the solid constructed by rotating the region under the curve f(x) = e¯ on the…

A: Volume of solid generated by revolving f( x ) about x axis is given as  V = ∫abπy2dx Given function…

Q: Use sigma notation to write the sum. 7 3 + 2 11 Σ i = 1 7 3 + 1 + 7 3 + x + 7 3 + 3 * + ... + 7 3 +…

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Q: Estimate the error that is made by approximating the sum of the given series by the sum of the first…

A: Here, we use the concept of the remainder term in the integral test in order to determine the error.…

Q: on oil producer the shape об is to have What the Surface Surface orea is a fixed Value for the H…

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Q: 17. In 3/1 x 1 Lett In 20 + y dy dx

A: ∫ln2ln3∫01ex+ydydx

Q: a. Show that the function is a solution of the differential equation b. Show that f(x) = e. f(x) =…

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Q: 4. Determine the absolute and local extreme of each function on the given interval. a) f(x) = 2x³…

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Q: For the following exercises, use the second derivative test to identify any critical points and…

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

Q: The sum can be written as a single integral in the form Determine a and b. a = 5 [ ² f(x) dx + √₂²…

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Q: Let g(x) = x² - 1x - 23. Find x such that (x, 7) is on the graph of f(x). Ox=-6 or 5 O x = -5 or 6 O…

A: The function is given by gx = x2-x-23 The point on the graph of the function is x, 7. To determine:…

Q: find Such a function that D H f P I'm and 20 number 6 (2 +h) - 64 h 19

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Q: A stone is thrown from a rooftop at time t=0 seconds. Its position at time t is given by ř(t) = 10ti…

A: I am going to solve the given problem by using some simple calculus to get the required result for…

Q: Find area of the region under the curve y = 4x³ - 2 and above the z-axis, for 3 < x < 8. area =

A: We know that the area of the function f(x) at x=a to b is  int_a^b f(x) dx

Q: дz Use implicit differentiation to find and дх дz дх дz ду || || x2 - y2 + z² - 8z 8 дz ду

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Q: Solve the first-order linear differential equation. (Use C for any needed constant.) y' + 3x²y = 9x²…

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Q: equation, in slope-intercept form, of the line tangent to the curve with param + 4t and y = Int at…

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Q: Question 7 Use the ratio test to determine if the series converges or diverges. n-1 15 O Diverges O…

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Q: Giver the function the об Mean Vallie [1,16] valire C theorem f(x)=√x, find Satisfies the the…

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Q: Calculate r' (t) and T(t), where r' (t) = 6 T(t) = ( 2 -4 r(t) = (7 + 6t, 5 — 4t, 2t - 5). " 2

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Q: 5) The function g(x) is always negative and has an average value of -12 over the interval 0 ≤ x ≤ 5.…

A: To find the area between the curve y = g(x) and the x-axis over the interval [0, 5], we need to…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: 3 1 2Y s (x2+y2)dxdy

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Q: where r(t) is 12) The growth rate for a 24-hour period of a bacteria colony is measured to be r(t) =…

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Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. 1. f* f…

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