Write v as a linear combination of u₁, 2, and u3, if possible. (If not possible, ente v = (7, -9, -4, -3), u₁ = (2, -1, 2, 2), u₂ = (-3, 1, 2, 1), u3 = (0, -1, -1, D V = U1 + 4₂ + U3

Q: Express the given parametric equations of a line using bracket notation and also usingi, j, k…

A: To express the given parametric equations of a line by using bracket notation and also using  and…

Q: If v = 5i + j and w = -5i - j, then the projection of v onto w is: O 5i+j Oi + 5j O -5i-j O-i-5j

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Q: Solve the inequality 4x-5>7 and select the graph of the solutions.

A: To solve the inequality 4x-5>7 and graph the solution.

Q: bind dy/dx у=х собих

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Q: What is the distance between the origin and the plane 3x-2y + 5z +7=0? O 7 7√√30 30 7√√√38 38 0

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Q: Determine the intersection of the two planes: ¹₁:3x + 2y - 6z - 5 = 0 л₂: 2x + 3y9z+10=0

A: We have two equations 3x+2y-6z-5=0 2x+3y-9z+10=0

Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

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Q: Write v as the sum of two vector components if v = i +3j and w = -2i+ 5j. Cloudy ○ v= (¹+¹)+(5¹+5)…

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Q: find fz (2²+1) da can not be done 0 x¹ + x² + c © x³ + x +1 Onone of these answers

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Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

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Q: sine function is used to find the angle between two vectors. True Q Search O False

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Q: 1. The population of the United States in 1960 is P (0) = 180 million. The population of the United…

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Q: 1. Given that lim f(x) = 2, x→a lim g(x) = -4, x→a find the limits. (a) lim [f(x) + 2g(x)] x→a (b)…

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Q: Problem 1. Part (a) Compute the derivative. h(x) = ln In(x) 4x³

A: As per the Bartleby guidelines, answering only first question as the other questions are not the sub…

Q: 7. Given the following graph of f'(x), for what values of x is f(x) increasing? f'(x) A + 3 -2 -1 1…

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Q: Use Logarithmic differentiation to find the derivative for: y = ((cosx)x^5)/ ((x+7)^4)

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Q: Find the area of the parallelogram with vertices  P(2, 1, 3), Q(3, 4, 4), R(8, 9, 11), and S(7, 6,…

A: Vertices of the parallelogram are P(2, 1, 3)Q(3, 4, 4)R(8, 9, 11) and S(7, 6, 10)

Q: Find the derivative of y with respect to x. (5x2 +1), dx y= sec || -1 x>0

A: The function is , x>0

Q: 2. When f(x) is replaced with f(-x), the graph that results is shown below. 3 d T ? Po L ? x Explain…

A: The graph of  is given as

Q: Find the monthly payment on the loan. Assume that the term of the loan is 10 years. $7200 at 6.3%…

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Q: A plane travels N45°E at an airspeed of 1000 km/h. Measurement on the ground shows that the plane is…

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Q: Problem 2. Find the points on the graph of x²+2x+4y² = 4+ y where the tangent line is horizontal.

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Q: The population of Mathvill is modelled by P (t) = (0.37) + 3, where the population is measured in…

A: The population of Mathvill is modeled by , where the population is measured in ten thousands and  is…

Q: A force vector has a magnitude of 14 N and make an angle of 20° with the x-axis. What is the…

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Q: - Find the intersection, if it exists, of the line r = (- 17,7, 6) + t(4, 1, − 3) and the plane 5x2y…

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Q: Find the exact value of cos²() using a suitable power-reducing formula. 0 1-1/2 2 2+√2 4 2-√2 4 O 1+…

A: Explaination of the answer is as follows

Q: The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars)…

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Q: Use the Law of Sines to solve the following triangle for a . Approximate your answers to the nearest…

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Q: If A = 2ī + 3√ and B = i +2j, what is A + B? đồ O5T +37 +4 O3i+5j 07+7 and are undefined, so we…

A: If the given vectors are  then the sum of these vectors will be:

Q: Which of the following properties of vectors is incorrect? à × b = b × ā X à · ( b + c ) = à · b ± à…

A: The vectors are  and

Q: 3. For parts (a)- (c), use f(x) = 2 cos2x + √√3 cos x (a) Solve f(x) = 0 over the interval [0, 27):

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Q: 1. Find the derivative. Simplify as needed. (a) f(x) = sin(x) (b) g(x) = sin (e) (c) h (t) = et…

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Q: Evaluate the following integral in cylindrical coordinates. 8 √64-x²√x² + y² s s S S S (x² + y²-1/²…

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Q: 2. Evaluate the limit if it exists. If the limit does not exist, answer with either +∞, - (a) (b)…

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Q: An airplane is traveling at a fixed altitude with an outside wind factor. The airplane is headed N…

A: An airplane is traveling at a fixed altitude with an outside wind factor. The airplane is headed N…

Q: Find parametric equations of the line through (-2, 1, 6) that is parallel to 2i – 4j+ k. x(t) y(t)…

A: Given point: (-2,1,6) , Parallel vector= 2i-4j+k We have to find equation of line in parametric…

Q: On the interval [0, 2], the only solutions to the equation sin 2x cos 3x = cos 2x sin 3x - *x-are O…

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Q: The critical points on the function f (x) = x³ – 4x² − 3x + 18 occur at x=-1/3 and x=3. Describe…

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Q: Show that the function f(x) = x4 + 5x + 1 has exactly one zero in the interval [-1,0). NOW,…

A: Show that the function f(x) = x4 + 5x + 1 has exactly one zero in the interval [–1, 0]Now, determine…

Q: Find an equation of the plane. the plane through the point (6, −3, 6) and perpendicular to the…

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Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A: We have,     f(x) = - √(6x ) ln(2x)

Q: points) Consider the function f(x) = (a) Write f(x) as a piecewise function. Evaluate lim x→-6+ f(x)…

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Q: Consider the series ∞ an+1 an n=1 (-1)+1 n Attempt the Ratio Test to determine whether the series…

A: We have to check weather the given series is converse or divergent in nature.

Q: 3. Derive an equation s(t) for the distance (position) of the car as a function of time (This…

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Q: = (x²y4 + 2)5 → 9% = b.F(K,L) = (Kª + Lª)¹/ª → KFk+LF 3t c.g(t, w) = ³t+wt² → d.g(t₁, t2, t3) = (tỉ…

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Q: Find the size of the obtuse angle (to the nearest degree) between the two curves y = ln (x² +1) and…

A: To find the size of the obtuse angle (to the nearest degree) between the two curves  and  at their…

Q: Express the exponential function f(t) = 20.3¹ in the form f(t) = a.e"¹. Also, find the doubling time…

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Q: 10 GIVEN F(x) = 2x²-18 x²-4 a) FIND ANY HORIZONTAL ASYMPTOTES e) FIND FIRST DERIVATIVE. FIND ANY…

A: We have to find the asymptotes and calculate derivatives of the given function.To find horizontal…

Q: determine the derivative for y = 38 38 38 dy dr Ody da dx = ex dy -4x Ody =e-4² е 16 -4x €4

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Q: 5 True or falce: F F(x) = f(g(x)) and f'(2) = -1³ 3 given that (9): 2, g'(a)=3, f'(9) = 3 こ

A: The given values are  and .We have to determine whether the statement is true or false.