= 1. Use (5,1), (1, 3) to find the following. a. Find u+v, then graph u, v and u + v on the same graph. b. ||u|| C. Write a unit vector in the direction of u

Q: Decide whether the following sequences converge or diverge where a is a positive integer. Explain…

A: Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: To find the scalar projection of vector x on vector y​, we can use the formula  projy​​x=∣y​∣x⋅y​​…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Option a: This option is incorrect  Option b: This option is correct because The point of…

Q: Explain, using these theorems, why the function is continuous at every number in its domain. M(x) 1…

A: The function M(x) is a combination of different functions - a square root function and a reciprocal…

Q: Calculus I May I please have the solutions for the following questions? Thank you,

A:

Q: please answer all i really need it and make sure it’s correct

A: Step 1: In the following diagram , in (2) we shift the vector x as like parallel vector( means…

Q: 1. Determine whether or not the line through the points P., Pa is parallel to the line through the…

A: Step 1:1) Given points P1(0,0,0), P2(1,2,3), Q1(-2,3,4), Q2(π,1,2). Finding direction numbers of the…

Q: (a) Consider the following system of linear equations: x y 3z = 9 5x + 2y + z -3x-y = -30 = 4 (i)…

A:

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: I used Desmos graphing calculator for graphing. We can also draw it by handNow consider the shaded…

Q: lim 1 2 x→0 sin²x 1 sin(x2)

A: Images have been attached for your understanding purposes:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A:

Q: Let R be the region in the first quadrant bounded by the graph of y = -x² + 4 and the x-axis. R is…

A: Sketch R, the region representing the base of the solid.R is the region in the first quadrant…

Q: 4.27. Find an explicit solution for y' = xe¯³, y(0) : = 1.

A: Ans:

Q: 4.28. Find an explicit solution to xy' = y², y(1) = 1.

A: Step 1:The given differential equation is:xy′=y2 with y(1)=1. To find the explicit solution of the…

Q: DATE: NO. 1. If A₁x + B₁yt C₁z + D₁ = 0 and A₂x + Bay + C₂ 2 + D₂ = 6 are two intersecting planes,…

A:

Q: 8. Determine if the series is absolutely convergent, conditionally convergent, or divergent using…

A: Yes, I attempted to use the Ratio Test and Root Test, but both tests led to expressions for the…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: If you have any questions let me know in comment box thankyou for your question.

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Given the points of a triangle; 4(-1,3,5) B(2,1,3) and C(-1,1,4). Determine the area of the triangle…

A: First, we need to determine the vectors AB and AC. The vector AB is obtained by subtracting the…

Q: A slope field for which of the following differential equations is shown? y dy =x+1 dx dy =x-1 dx dy…

A: From the given slope field, we can see that Slope (dxdy​)=0at y=−1  ( as indicated by a horizontal…

Q: Find a parametric representation for the surface. the part of the sphere x² + y² + z² 2 = 64 that…

A: Step 1:Step 2:Step 3: Step 4:

Q: DATE: NO. 1. Draw the indicated line. Through the origin, with direction numbers 1,2,3 2. Find Cos…

A: Step 1:1)To draw a line through the origin with direction numbers 1,2,3, we need to find two points…

Q: (b) Determine the polynomial function whose graph passes through the points (2,5), (3,0), and…

A: We have to determine the polynomial function whose graph passes through (2, 5), (3, 0) and (4, 20)…

Q: Determine whether the series converges or diverges. If the series is convergent, use the Alternating…

A: Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS. THIS IS TRUE AND FALSE

A: 12. In geometry, any three non-collinear points in space will define a unique plane. Here is…

Q: Consider vectors u and v. u = 9i + 3j, v = 3i + 8j (a) Find the vector projection w = proj₁v of…

A: If you have any questions let me know in comment box thankyou for your question.

Q: dy - Consider the following DE: (y - 2)(y − 1). dt a. For what value(s) of y will y(t) be constant?…

A: The given differential equation is dy/dt = (y - 2)(y - 1).

Q: Identify all singular points and points of discontinuity of the given function. (Enter your answers…

A:

Q: Please solve this calculus 3 problem and show all work by hand (double check solution plz)

A: Step 1:We have to find the equation of the plane passing through the point P(6,5,−4) and parallel to…

Q: Let a and c be fixed positive numbers. Consider the two surfaces S₁ z = √² - : 2 (4)² (x² + y²) and…

A: Step 1: Step 2: Step 3: Step 4:

Q: Can you explain step by step please

A: Page 1:  Page 2:

Q: Let R be the region in the first quadrant enclosed by the graphs of y = x², x = 2, and the x-axis.…

A: To find the volume of the solid generated when the region R is rotated about the y-axis, we can use…

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

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 explain step by step please

A: To determine the intervals where the function h(t)=−t2+18ln(t) is decreasing, we need to find where…

Q: Can you find the domain of each function and please can you write the answers in interval notations?…

A: (a) g(t) = sin(e-t)e-t is defined for all real numbers t.e-t > 0 for all real numbers t.Sine…

Q: Find the area of the shaded region shown in the figure (which is not shown to scale). The area of…

A: Part 2: Explanation:Step 1: Find the intersection points of the two curves.To find the intersection…

Q: lim 1.2 e-1-x-3x² x-0 x - sin x

A:

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: (d) lim 1 - cos(x²) x0 x² sin² x

A: Plug in the value of x = 0

Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…

A:

Q: 12g^3h ÷9gh^4

A: To simplify the expression   9gh412g3h​  Follow these steps: Divide the coefficients:  912​ Simplify…

Q: Need help ASAP, I'm traveling and need assistance right away!

A: Step 1: Given in the problem C′(t)=85t3​ and R′(t)=9t3e−t4 Part A) : To calculate the useful life,…

Q: Please include your solution. Thank you

A: Step 1: Step 2: Step 3:

Q: Can you explain step by step please

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS. THIS IS TRUE AND FALSE

A: Number 15Number 16Number 17Two planes are perpendicular if their normals (the vectors perpendicular…

Q: 2 Find any local extrema (maximums and minimums) of f(x)= 6x 2 Identify the x value at which each…

A: Step 1: Step 2: Step 3: Step 4:

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

A:

Q: Use the Integral Test to determine whether the series is convergent or divergent. Σne-on n=1…

A: Step 1:To determine whether the series ∑n=1∞​ne−6n is convergent or divergent using the Integral…