An airplane is on a heading of 235° at 600 km/h and a l10 km/h wind is blowing from due west. Determine the resultant velocity of the airplane, using Cartesian vectors, and state the groundspeed and bearing of the resultant.

Q: For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t – 4t +…

A: a x = 3t2 -4t +2 y = t3 -2t2 + 2t -5  dy/dx and d2y/dx2 =? dx/dt  = 6t -4 d2x/dt2 = 6 dy/dt = 3t2…

Q: Evaluate the limit In(x) lim x²-21x+20 X-1 X O a. 21 1 O b. -19 Ос. 21 O d. None of these. е. 1 19

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Q: Find (6x+5) dx. (6x+ 5) dx%3D

A: Note that: ∫xndx=xn+1n+1+C

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Q: 6. Use Newton's method to find the third approximation to the root of: x* + 2x – 4 = 0. Use x,= 1 as…

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

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Q: 3 * 12(In x)³ dx

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Q: 10) A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

A: Given ,  A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

Q: 1.1 1) lim (2) x3+8 X→-2

A: Given query is to find the limit nofnthe expression

Q: For the implicitly defined curve: cos(7y) 5y sin(x) dy (e.g., find y' ). dx a. Find a formula for dy…

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Q: Evaluate the integral 5*dx |(Type an exact answer.)

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Q: 1. Using the vectors u = [4, -3] 3 = [7, 1] and w = [-5, 3], evaluate the following, if possible. If…

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Q: tan z If f(x) = then f'(x) is ? z² – 1) soc? z (z² – 1)° O (2? - 1) sec²(x) æ – 2 (tan(æ)) 2z tan z…

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Q: The flow rate of water at a pumping station on a given day, is given by the function R(t) = -t? +…

A: This is a problem related to integration. Based on the concept and formula we will answer the…

Q: -1 x-x2 dx -8 2도 1423 1521 22 20 Option 1 Option 2 1425 1523 22 20 OOption 3 Option 4 None of the…

A: Given problem:-

Q: 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in the form of…

A: Given problem:- 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in…

Q: Bob starts at home and for the next 4 hours he jogs along a straight path with a velocity function…

A: The objective of the question is determine the total distance .

Q: (sec2 x + csc2 x)cos2 x dx

A: Given: I=∫sec2x+csc2xcos2xdx   Use the trigonometric identity; 1). sinx=1cscx 2). cosx=1secx And…

Q: The limit lim (x c 1 X• COS is an indeterminate form of type 0· o. Select one: True O False

A: Given: limx→∞x·cos1x   As we know that; limx→afx·gx=limx→afx·limx→agx

Q: Evaluate the integral: *Input answer as decimal round-off to 2 decimal places.

A: Given problem:-

Q: 2) Evaluate the integral and check your answer by differentiating. dx b) Jx"(2-x)° dx

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Q: complete

A: We will solve the integration.

Q: 4. The range of the function h(x)=0.5f(-x) +2 where f(x) = 4* is: A) {y eR|y>2} B) {yeR|y>0.5} C)…

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Q: 1) Find the equation of the tangent line to the curve: x* + xy – y = 7 at (3,2) %3D

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Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

A: Here, we want the two real numbers, suppose x and y, such that  x+y=46 And, the produce xy is…

Q: 8. If x* - 48x +1=0then, a. Provethat x - 5/2x+1=0 1 b. Find the valueof x- c. Showthat x 23030/23

A: Since you have submitted multiple questions, according to Bartleby policy I'll solve the first…

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A: Given

Q: Maximum Volume Consider the following solids, each of which has a surface area of 150 square inches.…

A: Solution is given below:

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: We have to choose correct option

Q: 1-cos 4x Find the derivative of y sin 4x

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Q: [1 2 1] Given A = 2 3 1 4 0 1] x, C =-2 1 o and D=[2 1 4]. 5 B =-2 w 3 4 2 y 3 z [-2 a (a) Find the…

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Q: x/2 dy 2. -y=e

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Consider the paints A (-2,3.1),8(0,0.2) and C (-1, 5.-2). (1.) Find a vector of length ST in the…

A: This is a problem of vector calculation. Based on the general formula we will answer the question.…

Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

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Q: 6) By implicit differentiation find a) xy + y² = 2 find d²y/ dx² %3D b) sin(x²y²)= x find dy/dx

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Q: Evaluate the integral: V1+ 7xd *Input answer as a decimal. Round-off to 2 decimal places.

A: Given query is to find the integration.

Q: The graph of y = f(x) is given below. Evaluate | f(x)dx 6+ 3- -1 -2 -3 -4 y = f(x) -6+

A: Application of integration

Q: e If F(x) = | e dt, find F(1) and F'(x). ez

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Q: Evaluate the given integral 1. S(sec² x + csc²x)cos²x dx

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Q: Question 4 dx 1 O sec (e² – 1) +C O sec-l(e*) + C sec (e – 1) + C sec™' (e") + C « Previous Quiz…

A: The integration of the integral is 1/sqrt(e2x-1).

Q: 2.xy x² – y? Show that - = 0 if z= Tan

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Q: 11. If m = 13 + 2\/42 a. Find the value of ym b. Find the value of m 1 c. Show that, m²Vm + 12987 m²…

A: A detailed solution is given below.

Q: Using half-angle identities, find the exact value of tan Note that (1 cos 0 1– cos 0 sin 0 tan 2 1+…

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Q: Evaluate: | V12 – 2| +x dx

A: Explanation of the answer is as follows

Q: 1 х-х2 dx -8 2

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Q: 1. Disk Method a. y = x2,x = 0, x = 2, y = 0, about the x ахis а.

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Q: Please Attach the Venn Diagram of the given problem including the complete solutions to answer the…

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Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

A: For given curves washer method can not be used. Answer with disk method

Q: Jx cos 3x dx Using Integration by parts, what should be the u and the dv? O u = xdx, dy = cos 3x Ou=…

A: Given : ∫xcos3xdx    To Find : Value of u and v in integration by-parts

Q: LogaX

A: