Tangent Vector, Tangent Line, and Angle between 2 curves The curves 1(t) = (4t, t4, 2t) and 72(t) = (sin(t), sin(4t), t) intersect at the origin. Find the acute angle of intersection (6) in degrees. 0 =

Q: 5. For each of the following line integrals: • Determine if the Fundamental Theorem of Line…

A: The Fundamental Theorem of Line Integrals (FTLI) applies if the vector field F is conservative. A…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Solution-

Q: Form a polynomial whose zeros and degree are given. Zeros: 2, multiplicity 1; 4, multiplicity 2;…

A: Using the form:P(x)=a(x−z1​)m1​(x−z2​)m2​(x−z3​)m3​...wherea = leading coefficient = 1z1, z2, z3...…

Q: dx 7.11. Consider = t x, x(0) = 1. dt 11 (a) Use Euler's method with step sizes h = 1,4 to…

A: b) To solve the differential equation dtdx​=t−x with the initial condition x(0)=1 exactly, we can…

Q: Work through the following steps to evaluate √(x² + 5) dr. a) We know that a = and b = b) Using 12…

A: Step 1:Step 2:Step 3: Step 4:

Q: 11. - What is the conjugate of 21√√5 – 3√3? a) 2√√5+ 3√√3 - b) 2√√53√√3 - c) = 2√5 - 3√3 d)3√3-2√√5…

A: Step 1: Step 2: Step 3: Step 4:

Q: I need help on question 1?

A: Part 2: ExplanationStep 1: Calculate the Partial DerivativesFirst, we find the partial derivatives…

Q: Can you find a formula for the inverse of this function, I added a picture.

A:

Q: Evaluate the following limits. (SHOW ALL STEPS in detail with explaination)

A: 7)limt→1​t​−1t−t​​ First, we substitute t = 1: 1​−11−1​​=1−11−1​=00​ This is an indeterminate form,…

Q: 9) Outside temperature over the course of a day can be modeled as a sinusoidal function. Suppose you…

A: PART A:PART B:

Q: I need help on question 1?

A: First, we need to calculate the partial derivatives of the function with respect to x and y. The…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: As atmospheric carbon dioxide (CO₂) levels rise, the following chemical changes can be expected in…

Q: Pls help W this, full explained solution to understand bettr. Thnks!

A:

Q: (b) Let A = [3-2 5 2 -4] - -1 0 = (³ ³ ³ ], B = [² 3], and C = [132] 2-3 -1 Compute the following: -…

A: Step 1: Here we are given three matrices A ,B and C Such that:A=[32​−2−3​5−1​] B=[2−1​−43​]…

Q: ANSWER IN DETAIL

A: a.) Note: If the point P(0, -2) lies on the curve "y(x)", then, y(0) = -2. So, y(x) = 5x + 3sin(2x)…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: In this proof we assumed that ABCD is a planar quadrilateral. If ABCD is not planar, then it cannot…

Q: f e d c) If C b a = 8, find d e a b c 14 c+2i b+2h a+2g elementary row operations. gh by using…

A:

Q: DATE: NO. enough •1 Find the length of v if there is information; otherwise indicate there is"…

A: Part 2: Explanation:Step 1: Calculate the dot product of vector \( v \) with itself.\[ v \cdot v =…

Q: The displacement d (in mm) of a piano wire as a function of the time t (in s) is given by d = 5.0…

A: In the given, we can determine how fast the displacement ddd of a piano wire is changing when…

Q: I need help with this problem and an explanation for the solution described below (Functions of…

A: Step 1:a. Spherical CoordinatesIn spherical coordinates (ρ,θ,ϕ), the relationships to Cartesian…

Q: a⃗ =⟨−1,−4⟩ and b⃗ =⟨3,2⟩. Represent a⃗ −b⃗  using the head-to-tail method. Use the Vector tool to…

A: Part 2: ConclusionBy following the head-to-tail method, we represented the subtraction of vectors a⃗…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A:

Q: The graph (attached) shows the velocity of a bug moving along the x-axis on the interval 0 ≤ t ≤ 13.…

A: A. From the graph, at t=11, the velocity v(t) is approximately -2.  B. The bug moves to the right…

Q: 5) If tan(0) = 12 5 - and << π, find sin (0), cos(0), sec (0), csc (0), cot (0).

A: 5) Given that 2π​&lt;θ&lt;π which means θ is in second quadrant.So pl. follow the figure.Given that…

Q: Please see image

A: Step 1: Given:Σn=0∞​an​(x−4)n...........(1)For x≥7 and x&lt;−7convergesFor −2≤x&lt;2 diverges.Step…

Q: 1 Let v=v [AB] and w=v [CO]. Determine when V and w are or thogonal. A=(0,0), B= (2,3), (= (3,-2),…

A:

Q: can you find the exact value of the 2 expressions I sent. Along with the 2 pictures.

A:

Q: Suppose that R is the finite region bounded by y = x, y = x + 2, x = 0, and x = 1. Find the exact…

A: Given:y=xy=x+2x=0x=1In the given, the volume for a solid revolution between two curves is the volume…

Q: 12) The bearing from the Pine Knob fire tower to the Colt Station fire tower is 65° N of E, and the…

A: Step 1:  Step 2: Step 3: Step 4:

Q: Find the monthly house payments necessary to amortize the following loan. Then calculate the total…

A:

Q: Differentiate the following functions requiring use of Chain Rule. (Any value that is not the…

A:

Q: A hand-held calculator will suffice for this problem, where an initial value problem and its exact…

A: Solution in answer, feel free to ask for clarifications if necessary

Q: Using the appropriate theorems, explain why the function is continuous at every number in its…

A:

Q: -3 3 The figure above is the graph of the function f(t). Consider the following functions: • a(t) =…

A: Step 1: Step 2: Step 3: Step 4:

Q: DATE: NO. 1. Find the equation of the plane through (3.2.-1) and (1.-1,2) which is parallel to the…

A: Step 1:Step 2:Step 3:Step 4:

Q: Find the present value of an ordinary annuity which has payments of $2000 per year for 12 years at…

A: Given information: Annual payments (PMT) = $2000 Interest rate (i) = 8% or 0.08 Time in years (n) =…

Q: Find √ √ (2x+3y)dA where R is the parallelogram with vertices (0,0), (5,-5), (1,-4), and (6,-9). R…

A: Step 1: Objective and ConceptObjective:-To find the value of (2x+3y) using double integration.…

Q: For the following problem, find the quadratic function y = f(x) that has the given vertex and whose…

A:

Q: Based on this graph, what is F(3)?

A: Step 1:​From the given graph,a)x→−1−lim​F(x)=Approximate value of F(x) at left neighborhood of…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the Maximum and minimum of the following function: f(x) = sin(4x) on [0, π/2] a. identify what…

A: Step 1: Step 2: Step 3: Step 4:

Q: The initial tableau of a linear programming problem is given. Use the simplex method to solve the…

A: The given initial tableau of a linear programming problem is:  x1x2s1s2s3zxb 16100015 41010020…

Q: K Find the present value of an ordinary annuity with payments of $14,484 every 6 months for 3 years…

A: To find the present value of an ordinary annuity, we can use the formula for the present value of an…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Problem 15:In R³, the standard basis (unit) vectors are:i = (1, 0, 0) - represents the x-axisj = (0,…

Q: Please solve the following calc 3 problem and show all work

A:

Q: 10. The answer is absolutely convergent. Determine if the series is absolutely convergent,…

A: Let's try the Ratio Test:…

Q: 1. Let v=v [AB] and w=v [CO]. Determine when V and w are or thogonal. A=(0,0), B= (2,3), (= (3,-2),…

A: Problem 1We are given that v=v[AS] and w=v[c0]. We need to determine when vectors v and w are…

Q: Find the derivative of each function. Do not simplify your answers a) y = 6 ln(6x + 3x) b) k(x)=7+…

A:

Q: Sketch the graph of an example of a function f that satisfies all of the given conditions. lim f(x)…

A: