Let V = -î + 3j + 4k and W = 2î – 45 + k, then find cos 0, where 0 is the angle %3D between V+ W and V.

Q: solve for the angle u, where 0 … u … 2π cos 2θ + cosθ = 0

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Q: - tan 0 I. 0 =150° I. Ө—210° III. 0 = 30° IV.0=330° a Land IV b Il and IV C Il and III d ll and

A: see next step

Q: 2. (b) Q 3 p sin фа, + p'zag +z cos ф a,

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Q: Verify the following, for the two angles alpha (a) and beta (B) sin(a-B tan a tan 3 cOS O cos R

A: To verifysin(α-β)cosαcosβ=tanαtanβ

Q: Use the given conditions. cos(u) = 7/25, 0 <u< n/2 (a) Determine the quadrant in which u/2 lies. O…

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Q: If cos t = - and t is in the 3rd quadrant, then sint = %3D V32 6 V40 6 V32 2 V32 6 O V32 2

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Q: Use the given conditions. tan(u) = -5/12, 3m/2 < u < 2n (a) Determine the quadrant in which u/2…

A: We have to find trigonometry ratios

Q: From the figure below find cos (45) %3D J45 9°

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Q: Use the given conditions. 5. sin(u) %3D하 고 13' 2 ku<n (a) Determine the quadrant in which u/2 lies.…

A: use trigonometric identities .

Q: * If r(t) =8 cos(6t)– 3sin(31), find and sketch R(j@). *

A: Since, you have posted multiple question, we will solve the first for you according to the Bartleby…

Q: If cos A with A in QIV , find sec %3D a. sec | b. sec 2. с. sec A d. sec 4-5 %3D A sec e. A2 1/2 II…

A: Since you are asking multiple questions. We are answering only the first question. Given, cosA=18…

Q: If z = 1+ 2i and w 3+ 4i, express in rectangular form 5 cos [Arg (2²)] + 5i sin[Arg w]

A: The square of a complex number z is the product of z with itself. Multiply 1+2i by 1+2i to obtain…

Q: Use the given conditions. tan(u) = -7/24, 3t/2 < u < 2n (a) Determine the quadrant in which u/2…

A: Given,          tanu=-724 , 3π2&lt;u&lt;2π

Q: If cos t = – and t is in the 3rd quadrant, then sin t V45 7 V45 7 /53 7 V45 2 V45 2

A: We have to find the value of sin t if t is in third quadrant and cos t=-27. We know the identity,…

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: Get the sum of the two signals. V1 = a sin (120tt + b) V2 = c cos (120nt + d)

A: The given signals are  v1=16 sin120πt +23°, v2=18 cos120πt+12°.   The identities to be used are as…

Q: Isin (r*) cos (r*) dz

A: Here we have to evaluate the given integration.         ∫ x2 sin4(x3) cos5(x4) dx

Q: On taking AABC, use cosines law: 450 300 500 Om)* =(450 m)* +(500 m)* – 2×(450 m)(500 m ) cos A…

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Q: The values of C, and C2 so that y(x) = C, sin x + C, cos x satisfies the following conditions: y(0)…

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Q: Use the given conditions. tan(u) = -3/4, 3t/2 < u < 2n (a) Determine the quadrant in which u/2 lies.…

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Q: Determine the reduced row echelon form of cos e sin e A = sin 0 cos e

A: Given, A=cos θsin θ-sin θcos θ

Q: 12) cos? 0 = 1 %3D .2 14) 4cot? 0 =1+ cot? O %3D 16) 1+3cot2 0 = 4cot? 0 – 2 %3D

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: First we write the components form of u and v .

Q: Make the substitution u = 7 cos e in the expression 1/V 49 - u2, and simplify the result. (Assume…

A: Make the substitution u=7cosθ in the expression 149-u2.

Q: Let z x = 2 cos u, and y 3 sin v. Find dz in terms of u and v. %3D Provide your answer below:

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Q: Find the angle at which the cardioid r = a(1 - cos u) crosses the ray u = pai/2.

A: Given:

Q: Show that cos(e-²) dz . 2πί - sin(1). 22 Here C = {z E C||2| = 1} (the unit circle).

A: prove is following...

Q: Find r'(t). r(t) = (tan-'(5t))i+t cos(t)j – Vik NOTE: Enter your answer in terms of i, j, and k.

A: r(t)=tan-1(5t) i+t cost j -t kddt tan-1(5t)= 11+(5t)2 ddt(5t)ddt tan-1(5t)= 51+25t2 ddtt cost=cost-t…

Q: and <0 < r, then sec(0) %3D

A: We use Trigonometry ratios

Q: What is the solution of the equation cos20 + cose = 0 for the angle 0, where 0ses 2n? O A)…

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Q: Let P = {x € R | sin(x) = 0} and Q = {na | n E Z}. What is the relationship between P and Q?

A: Let P = {x ∈ R | sin(x)=0}, and Q = {nπ | n ∈ Z}. What is the relationship between P and Q​

Q: Evaluate ([cos (x – y)sin(x+ y)dA, where R is the triangle with vertices (0,0), R (-1,7), and (7,7)…

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Q: 1 Given that P = 2a, – ay 2а, - Q = 4a, + 3a, + 2a, R = а, + a, + 2a, find: (a) |P + Q – R|, (b) P·Q…

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Q: use the given information to find a formula for r(t). r '() = (3+ 4t , cos(t), 1 – 6t ) and r(0)=…

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Q: F k d

A: Use conic section we can prove it.

Q: : When the axes are retated through an angle a, Find the transformed equation of x cos a + y sin a…

A: When the axes are rotated through an angle a then we have to  find the transformed equation for the…

Q: Let r(t) = (sin 3r, cos 3r, /īt), Find T(t) and N(t)

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Q: Compute the length of the cardioid r = 9 – 9 cos(0).

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Q: Graph the roses r = cos mu for m = 1/3, 2, 3, and 7

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Q: Drag the label for the length of the sides of the triangle shown that would satisfy the following…

A: Given triangle and cos(B) = 941 ,    tan(C) = 940

Q: given z=x2-y2, x=r cosθ, y=r sinθ, find ∂z/∂θ

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Q: If cos t 4. and t is in the 3d quadrant, then cot t= || 4 V65 V65 4 6. V65 V65 4 V65 9.

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Q: Convert to rectangular coordinates. x = 1+ sin t, y = 1 + cos t for t in 0, 27

A: The solution are next step..

Q: Find sin zj and cos ( – nj) in the form u + jv.

A: Brief answer is given below.

Q: Find C if r(t) = ⟨et, 3 cos t, t + 10⟩ + C and r(0) = ⟨0, 0, 0⟩.

A: We have given function r(t)   r(t) = ⟨et, 3 cos t, t+10⟩ +C   We have to find the value of C   It…

Q: If sin(A+B)=1 and cos(A-B)= V3 -,0B then find A and B

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Q: Ifr' = bx, find cos a in cartesian coordinates, where a is the angle between r and r'. %3D If q is…

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Q: If v x w = 67 - 7j + 9k, and v.w = 7, find tan 0 where 0 is the angle between v and w. tan 0 =

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: