Find two unit vectors orthogonal to both (2, 8, 1) and (-1, 1, 0). (smaller i-value) (larger i-value)

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Q: What is the partial fraction decomposition of the function O x+1 x² 1 2x -x-2 2(x²+4) 1 x² x+2…

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Q: If you want to earn 15% annual simple interest on an investment, how much should you pay for a note…

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Q: Please solve this 100% Correctly and ASAP. Thanks, A wall of height 12 m stands parallel to and 30 m…

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Q: Calculate the integral approximations Tê and M₁ for ſå xª dx. Your answers must be accurate to 8…

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Q: 10 a) Find the simplified form of the difference quotient for the function f(x) = b) Complete the…

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Q: 2 e3t cos(400nt) 8(t – 1)dt

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Q: The decibel level of a sound is given by the equation D = 1010810 ( where / is the sound's intensity…

A: The Decibel level of a sound is given by the equation  D = 10log10( II0  )  I is the sound intensity…

Q: (a) Determine the domain and range of the following functions. (1) z=sin(x-y)

A: As per guidelines we can solve only first question if multiple questions are posted. Please repost…

Q: Solving the equation C= Bat/D-K for t, using logarithms with base a, gives you t = 108a()+K A. Dloga…

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Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

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Q: (a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values. (c)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Question 2 Match each trigonometric function with the quadrant where it is positive. sine cosine…

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Q: Simplify the expression (3a¹b³c²)² (2a²b²c³) ³

A: This is question of algebra  Here simply expression is given  We have to convert it in simple form…

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Q: A circular swimming pool has a diameter of 12 m, the sides are 3 m high, and the depth of the water…

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Q: Consider the function f(x) = 2x³-9x² - 108 +4 on the interval [-4, 8]. (a) Since the conditions of…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find the indefinite integral. Hint: u = x - 1 implies x = u +1. x(x-1)dx

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Q: -3- -4 1 V 3 4 5 The graph above shows the base of an object. Compute the exact value of the volume…

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Q: I. Determine if the differential equations are linear or non-linear. 1. y'-(sin x)y=e* 2. y'- y² = x…

A: NOTE: Refresh your page if you can't see any equations. . The standard form of the first-order…

Q: Solve the following differential equations ** - 2x +2y=x²₁ dy dx

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: volume is described as follows: 1 the base is the region bounded by y = 8-2² a and y = 0 .every…

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Q: Given one form a line, match it with its equivalent equation in another form. x = -t { y = 1 z = 1+…

A: x=-ty=1z=1+t

Q: 1. convergent (a) Determine whether each integral is convergent or divergent. Evaluate those are (b)…

A: ∫0∞e5-2xdx

Q: The Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and…

A: Given, px = 1.60x for  x ≤ 301.30x+k  for  x > 30  We have to find the value of  k such that…

Q: f(3) = lim f(x)= x-3 f(5) lim f(x)= x-5 lim f(x)= lim f(x)= x-3° lim f(x) = x-5 lim f(x)= 1-5 M lim…

A: When function continuous at x=1⇒limx→afx=faOR⇒limx→a-fx=limx→a+fx=fx

Q: π Compute the definite integral cos³ (2x) sin² (2x) dx .

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Q: Solve the following differential equations dy dr² dy -9x+24y=0, y(1)= 1,y(1) = 0 dx

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Q: Σ(-1)" √TI 2n + 3

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Q: 3. A paper cup has the shape of a cone with height 15 cm and radius 5 cm (at the top). If water is…

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Q: 4. Check to see if the equation is exact. If so, Solve and check: {Exact} (2e²x + 2xy) dx + (x² −…

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Q: 3. A parallelogram is formed by the vectors OA = (6, 3) and OB (-1, 1). Determine the acute angle…

A: A parallelogram is formed by the vectors OA→=6, 3 and OB→=-1, 1.   To determine the acute angle…

Q: The complete graph of y = f(x) is given below. Use it to graph the following function. g(x) = f(x) +…

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Q: 4. y=sin(3x) • cos(2x), y'=?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 6 5 4 J 2 *+ -2 3 -4 s -6 V 1 2 3 4 6 The graph above shows the base of an object. Compute the exact…

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Q: Find the future value if $15,000 is invested for 7 years at 10% compounded continuously. If needed,…

A: Find the future value if $15,000 is invested for 7 years at 10% compounded continuously. If needed,…

Q: A bucket is filled with sand so that the total mass (sand and bucket) is 20 kgs. The bucket is to be…

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Q: represents a vector going 5 km/h N20°E. What is a. 5 km/h S20°E b. 1 km/h S20°W A ? 1 km/h W20°S d.…

A: A→ represents a vector going 5km/h N20°E

Q: Evaluate the integral. (Use C for the constant of integration.) √ 8 tan³(x) sec(x) dx

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Q: The force F has a magnitude of 310 lb and acts along the diagonal of the parallelepiped as shown.…

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Q: 2. a) Evaluate the integral. sin(3nt)dt b) 2x³ +3x6 dx

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Q: 11. Let y = 2x² - 5. Find the differential dy when x = 3 and dx = 0.01.

A: given y=2x2-5

Q: The vector k represents: O A vector of manitude 1000 in any direction. O A vector of magnitude one…

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Q: Let Find e such that lim f(t) exists. t 2 The cis f(t) = 4 1 2t t + c for t 2

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Q: ou want to earn 13% annual simple interest on an investment, how much should you pay for a note that…

A: We know that the formula A=p(1+rt)  Where A is an amount and  P= principal r= rate of interest  t=…

Q: 6. Are the following expressions meaningful? Answer yes or no next to it. a. axb.c b. a. bxc I c. dx…

A: Given that  a→×b→.c→a→.b→×c→d×a→To determine the expressions are meaningful or not