Evaluate the integral. (Use C for the constant of integration.) 9 - x xp

Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(6,-5) cos = (5√61...

A: We have to calculate r then we can find trigonometric value. 

Q: Using Figure 4, complete these functions. Express the answer as a fraction. P(-20, 21) n. Figure 4 t...

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Q: Using Figure 1, complete the following function. Figure 1 csce = r/u v/u v/r r/v u/v u/r O O O

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) : 1 n = 4, C = 2 Pa(x) =

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Q: Q1. Solve the question A. Graph the curve B. Find the x-axis intersection points (Limits of integrat...

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Q: Directions: Determine whether the given function is a. continuous or not b. differentiable or not. A...

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Q: 2n n+1 lim n A) e

A: Given,            limn→∞n+1n2n

Q: Solve the following ODE. y" + 2y" – y- 2y = 9 - 123 NOTE: Write arbitrary constants as c1, Cg, and c...

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Q: $81,000 business can be purchased by making a down payment of $16,000 and ancing the balance with a ...

A: Given query is to find the time taken to paybthe loan 

Q: Write the first five terms of the sequence: ( +o0 S11 In n n=1 Determine whether the sequence conver...

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Q: Question 2 Find an equation for the line tangent to the given curve at the indicated point. y6, x3=y...

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Q: • f(x) (x) , evalu:

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Q: Consider the integral dx x . Using u-substitution, what is an appropriate u and du? -2x 2e

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Q: Suppose f(x) - 6'Vi+ť' dt. 1) Evaluate / (2).

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Q: Solve the exponential equation. Express solutions in exact form. 5 e 2x + 7 e* = 6

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Q: In(12 x- 11) dx

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Q: b. Find the particle's displacement for Ost36. c. Find the total distance traveled by the particle f...

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Q: Determine the composite function fog and gof. For each composite function state the domain and range...

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Q: Compute the LU factorization of the following matrix. No row interchanges will be necessary. You can...

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Q: Find the constants xo, X1, and c so that the quadrature formula 1 dx = 5 (xo) +c1 f (x1) f (x) has t...

A: We have to find the constants x0, x1, and c1 so that the quadratic formula                          ...

Q: Given 2 cot- (esc) if – 3 3. a. Determine if f is continuous or discontinuous at r = 0 and at r = 3...

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Q: a) Represent the parabola y = x² + 4 as a vector-valued function b) Sketch the vector valued functio...

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Q: 3. Find dx dy d²y and y 1+t and if x = %3D dx2 1+t

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Q: Find the derivative of the function. y = cot?(sin(8)) - 2 cot(sin (0)) [cos ec°(sin(0))]-co s(0) COs

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Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 csce = 5/3 5/4 -5/3 -5/4

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Q: Use Gauss' Divergent Theorem to calculate F. dS, where F = (2x + sen (e+1)) i+ 3yj+ cos(z?)k and S i...

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Q: r(t) = t? i + 2t j, t = 1 Find the tangential and normal components of acceleration

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Q: The sum of the series n-16) is: A) 1. B) 2. C) D) E) Diverges.

A: topic - series convergent and divergent

Q: 3. Find the derivative of the following functions: a. f(x) = (x² + 1)(x³ – 2x² – 1) f(x) = b. 2 + si...

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Q: Determine whether the given series converges or diverges n2 Σ 2n In n n=1

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Q: A camera is suspended by two wires over a football field tó gét from above. At one point, while the ...

A: Let the camera be at the point c, WL and WR are the forces on the camera by the left and right wire ...

Q: The half-life of cesium-137 is 30 years. Suppose we have a 190 mg sample. (a) Find the mass (in mg) ...

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Q: x - 5, x21 (b) A function ƒ is defined by f(x)=. 1 x<1 Show that f is differentiable at x = 1. Hence...

A: We have to show our function is differentiable or not at x=1

Q: What is the form of the complete partial fractions decomposition of this function: 5 x(x + 3)²(x² – ...

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Q: Find the distance between the points (distance formula) 3.(-1, 1/2), (3/4, -4) 4.(a, b), (c, 0)

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Q: Use the Intermediate Value Theorem to show that 2x – 3 - if – 3 0 has a zero on the interval [-2, l...

A: First compute the function if they are continuous then apply the intermediate value theorem.

Q: ry' – y = x²e=z

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Q: From the top of a cliff 426 feet high, the angle of depression of a ship is observed to be 18. How f...

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Q: Find r(t) that satisfies the initial conditions: r "(t) = -32j, r (0) = 600 V3 i+ 600 j, r(0) = 0

A: Given problem:- Find r(t) that satisfies the initial conditions: r"(t) = -32j, r (0) = 600 √3 i +600...

Q: What is the horizontal shift? y= 2 tan X-180 +3 O 180 degrees O360 degrees O 45 degrees 540 degrees

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Q: Using Figure 1, complete the following function. V u Figure 1 sing = %3D u/r v/r ^yn O r/v v/u r/u O...

A: Given problem:-

Q: Evaluate the integral: dx +. +c. B) Inx+ v-이+c. c) 3Imx + v-이+c. D) +c. ) 2( - 9)+c.

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Q: an object is traveling on a path of y=sprt(x+3) where will the object be closest to (2,0)

A: We have to find the closet point to (2, 0) 

Q: Find the 30th derivative of y = cos(2x). f(30)(x) =

A: Take the derivative multi times and observe the pattern then write the required answer. 

Q: 2.

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Q: What is the value of the discriminant whose root are real,rational,and equal?

A: Given: - The discriminant whose roots are real, rational, and equal. To find: - The value of the dis...

Q: Question Define Q as the region that is bounded by the graph of the function g(y) = - Vy – 1, the y-...

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Q: Use the difference an+1 - an to show that the sequence {n – 10"}" n=1 is strictly increasing or stri...

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Q: What is y = sin (xy)

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Q: In the rectangular prism shown below, OA=a, OC=b and oD =c. Express each of the following vectors in...

A: We have to express sides of rectangular I  prism in terms of vector a, b, and c