Use identities to find values of the sine and cosine functions of the function for the angle measure. 2θ, given sinθ= sq root 2/7 and cosθ>0

Q: c) graph of Estimate the area under the f(x)=√x from x = 0 to x = 4 using four approximating…

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Q: Find an equation of the plane. The plane through the point (6, −8, −8) and parallel to the plane…

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Q: We are interested in the first few Taylor Polynomials for the function = 8e +9e-x f(x) centered at a…

A: The given function fx=8ex+9e-x

Q: For any two nonparallel vectors a and b, it holds that Select one: O O O 3a + b 3a + b 3|a| + |b|…

A: For any two nonparallel vectors a and b , it holds that

Q: Find the cross product x where = 71-7j -4k and 7 = (-4,-3, 4). úxv=

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Q: Calculate the tripe integrals SSS xyz dxdydz where B é the block 0≤x≤2; 0 ≤ y ≤ 1; 1≤z≤2

A: We have given in question, triple integration of xyz with respect to x, y, z

Q: Given the function f(r. y) = 1² + y² + 1 • For every point (r. y) = R², compute the gradient and the…

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Q: True or False: We have [x 3 Select one: True False xdx > [²x x² dx

A: Here we have to use the concept of integration

Q: Find the line integral of the vector field F= over the curve C which is the quarter of the unit…

A: To evaluate the line integral of given vector field over the curve C.

Q: B: e²+² dydx Jo Jo

A: To solve the integral ∫0∞ ∫0∞ ex2+y2dydx

Q: If b) [ f(x)dx = = n(x)) = 1 then find f(x). = + = 2 x ² + 6x -tan(x) - 4e + + 6x + C

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Q: If S then f(x)dx= 10 and is equal to Select one: O 10 05 015 O-5 [². [se none of the others f(x)dx…

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Q: xex dx 3. f. (1+x)²

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Q: Let a = -27 +53 + 4k. Find a.

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Q: Which of the following is a unit vector parallel to the vector ? Select one: 2 0 8 1 4 <- 81¹ 81¹…

A: Let's solve.

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A: See this solution in below.

Q: Switch the order of integration of the following integrals, then evaluate: ƒ ƒ x sin(y²) dydx = x=0…

A: Explained below

Q: Part c: ( Let A(1, 0,-1), B(-1,2, 1), and C(1, 2,-2) are the three points in a 3D coordinates…

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Q: a. Find an equation for the secant line through the points where x has the given values. p. Find an…

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Q: Given that 2+i is a zero of f, find all other zeros. (Enter your answers as a comma-separated list.)…

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Q: The data given in the Table below is produced from a Linear Difference Equation model of the form: Y…

A: To find the value of a and b and then the value of linear model.

Q: The definite integral is equal to O 2 [²x Select one: 4 O f₁²₁x² dx + ₁ + x² dx none of the others ○…

A: ∫02 x2dx here we have to find equal to this. split the integral into two  use formula  ∫a  b f(x)dx…

Q: 5) Find the slope using y = (=/3² at 2 First Principle (-3,8)

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Q: Set e кад dx

A: To solve the following problem

Q: The four figures below are graphs of the vector-valued function r(t) = 8 cos ti + 8 sin tj + (t/8)k.…

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Q: z(t) = -2-t Find a plane through the point (5,6,-3) and orthogonal to the line y(t) = 8 - 8t z(t) =…

A: Given: 5,6,-3Orthogonal to the line xt=-2-t, y(t)=8-8t, zt=2+2t

Q: Calculate the derivative of y with respect to x. Express derivative in terms of sin (y³) (Express…

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Q: (a)l. - Find a vector equation and parametric equations for the line that passes through the point…

A: According to bartleby guidelines for multiple question I can answer only one question.Thankyou

Q: The curves f(x) = x² – 3x − 4 and g(x) = 3x - 9 intersect at the point (1,-6). Find the acute angle…

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Q: Given the curve of y=6-x² and y=x+4. Sketch the graph for -3<x<3. State the intersection points…

A: We can find the area of the bounded by the given curves.

Q: Solve DU 112 dx 4x+3 x³ + 2x² + x

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Q: calculate the derivative below using the definition of derivative. f(x)=e^[cos(x)]  a = pi/2

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Q: 1 2 1 Q2. If A = 200 31 2 find A¹.

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Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and 6=. (a) Find the unit vector u…

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Q: Q3/create a matrix A and 1- add fourth & fifth rows equal to [1 2 3] by using [1 2 3] A= 4 5 6 L7 8…

A: Here is the solution:

Q: Use Green's Theorem to evaluate the line integral of F= over C which is the boundary of the…

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Q: The Maclaurin series of the function f(x) = 2x² sin(9x) can be written as f(x) = Σcna" 71=0 where a…

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Q: Find the following for the given equation. r(t) = (t² + 3t)i + (t² - 3t)j (a) r(t) = (No Response)…

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Q: Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for DNE…

A: We can find the answer as below.

Q: 08 06 04- 02- }} ye y=0x=y² 02 yer* dxdy = 36 38

A: To switch the order of integration and then evaluate the value of integration.

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 7 y =…

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Q: Determine the location and value of the absolute extreme values of f on the given​ interval, if they…

A: To determine the location and value of the absolute extreme values of f on the given interval, if…

Q: The distance from the point K(3, -2, 0) to the az- plane is Select one: O-2 O √13 O 0 02 O None of…

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Q: However, the answer is (1/2, 0).

A: Given curves:- y=x+2 , y=x2 -4  find center of mass

Q: The equation x² + y² +10y + z² = 6z - 18 represents Select one: O a sphere with center (0, 5, -3)…

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Q: -- 1 |_ g(x,y) dydx = x=0₁_y=√x

A: Sketch the region of integration and switch the order of integration of the following integral. Do…

Q: 2) Is A P Q R a right angle triangle P(-5,3) Q(-7,8) R(3, 12) and it. name

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Q: The definite integral is equal to Select one: lò xác thỉ xác Of xdx + ² xdx Of xdx + xdx Of xdx -f²…

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Q: The value of the definite integral is Select one: O 16 3x²dx 0-8 O none of the others 08 0 0

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Q: Use the graph below to write the quadratic function in vertex form. Be sure to use the equation…

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