10n? + 18 7n2 + 16n + 21 n=1

Q: The projection of the vector 21+3ị – 2k on the vector i-2j+3k is 2 14 V14 1 V14 O None of the…

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Q: 1. Y = 2 – 7.x fa) — 4 — 5х — 21? 2. 3. Y = 2x³ – 3.x

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and Edit 10x – 5y – 5z – 26 = 0. -

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Q: etermine if the given is convergent c sin(2 tan-1n – T) Σ (2 tan-1n – Tt) n=1

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Q: (-1)" V2n² + 5 Given: power series > (x+ 1)" n=1 i. Determine if the resulting series of constant…

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Q: Which of the following vectors are linearly independent?

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Q: Determine the third degree Maclaurin polynomial of f(x) = tan 3x. Use this to approximate the…

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Q: Find the angle 0 between the vectors in radians and in degrees. u- o()i + sn()i, v - co( + sm)i…

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Q: full

A: We have to determine the given series is converges or diverges according to the given information

Q: Determine whether the following series is convergent divergent. or (-1)"3n² 4n2–1 n=1

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Q: (a) Find: L{(e + e*)?} -t (b) Find : L 2+11 } 2s (c) Find: L{421

A: a) Le-t+e3t2Le-t+e3t2=Le-2t+2e2t+e6tF(s)=Le-2t+2Le2t+Le6tF(s)=1s+2+2s-2+1s-6F(s)=1s+2+2s-2+1s-6

Q: Based on figure below, we get some information: Which of the following statements are true? Gambar…

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Q: What is the area of the region bounded by the graphs of y = x and y = x°? Answer is in square units.…

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Q: Using exact differential equation, determine the solution of: dy y dx 2x %3 Зу? — 2 when y 1 and x =…

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Q: I. Evaluate the following integrals. •ln 2 #3. e2" sec-(e")dx

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Q: Q: Evaluate the following integrals: (10 dt, 10x dt 1. 5t re dx 2. J0 x(Inx)?

A: Question 1,Given,           ∫510dtt+∫5x10xdtt

Q: Here is the given, ∞ (x-2) n=1 Vn2+ 9 (9.) Show that the series conveges conditionally when x= 1.…

A: The given series is: ∑n=1∞(x-2)n9n2+9=∑n=1∞(x-2)n3n2+1...(1)

Q: 62" cos (2") . 6x° cos

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Q: Consider the parallelepiped with adjacent edges u = 3i + 3j + k v = i+j+ 8k w = i+ 9j + 5k V Find…

A: Given;  u=3i+3j+k v=i+j+8k w=i+9j+5k.

Q: +0 (-1)m cos(b) = S-1)" -b2m (2m)! for all be R m=0 Given the integral of J cos² x dx, express it as…

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Q: Using the squeeze theorem, find the value of lim,0 x² sin=) O 1 O -1 O does not exist

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Q: . Find the sum of the following convergent series. Σ 00 3n+1 a. 6n-1 n=0

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Q: has side lengths 8, 15, and 17 as shown below. hs to find cos B, tan B, and sin B. A 15 17 C AB 8.

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Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

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Q: at is the area enclosed by the curve r = 2 cos 36? wer is in square units. Use two (2) decimal…

A: To find the aera.

Q: Given that h(x) sin(2x + 1), determine functions f(x) and g(x) such that h(x) = f(g(x))

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Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

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Q: x² dx J (² – 25)5/2

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Q: 3 < x < 2/3 < x < 3/2

A: We have to choose the correct option from the given options according to the given information

Q: B.) Function; x- 2x - 15 3.) f(X); f(5) = 4.) f(t) = f(3000) = 3000 X- 5

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Q: Use the properties of logarithms to expand the following expression. xy log Each logarithm should…

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Q: 8. 6x° cos (x³) dx

A: ∫ x8cosx3dx

Q: IV. Determine if the given is convergent or divergent. n Σ #2. (n² + 1)2 n=1

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Q: 2- cusx dx COSX Sinx +2 Sinx t5

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Q: A closed rectangular bOX with a volume of 16ft° is made from two kinds of materials. The top and…

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Q: check if the series below is convergent or divergent, thanks!

A: This question can be solved using the concept of alternating series test.

Q: The task is to evaluate the function using reversed order of integration. •1 eee-x dx dy 1 Jlny

A: Given

Q: C.) approximate derivative; 5.) y = 2x 6.) y = x +34x + 4000

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

Q: x² - 25 The antiderivative of - dx is x2 -25 - sec-lx+ C. A True (B False

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Q: Using exact differential equation, determine the solution of: dy y-- 2x = 3y2 – 2 when y = 1 and x =…

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Q: Suppose f(x) is a function that satisfies the following conditions: f(15) = 20, f' (15) = 2. Also…

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Q: The location of a point on the Cartesian coordinate system (x,y,z) is (4,5,6). Using the location in…

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Q: Use polar coordinates to evaluate sin (a² + y²)³ dA, R

A: We have to find value of given double integration

Q: Calculate the following limit: lim,→4 4 x-4 O -1/16 O4 O -4 O does not exist

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Q: Find the sum of the convergent series tan - ( m til tan M=1

A: This is a telescoping series.  Whose sum is  2/π

Q: What is the value of the slope of the tangent line to the graph of y at the point (-1, -) O 1/2…

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Q: Test for exactness and find the general solution of: (cos2y – 3x²y²)dx + (cos2y – 2xsin2y – 2x³y)dy…

A: To solve the following differential equation

Q: ( sec' 0 tanede

A: Follow the procedure given below.

Q: 9– 4x2 Evaluate: 4.x2 + 2 sin () +C A 6/ f (x) = 9-4x2 - 2.x sin () + C B f (x) = - -1 ( 2r 9-4x2+2x…

A: here we do integration using parts ∫ fg' = fg -∫f'g f = 9-4x2 g' = 1/x2 f' = -4x/9-4x2 g = -1/x ∫…

Q: Let f(x)=2x2-12x+8. Function f(x) has one minimum point at.. Diketahui f(x)=2x²-12x+8. Fungsi f(x)…

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