1. What is the appropriate dot product technique for both Cartesian and Geometric vectors?

Q: 17/45 100% + Example 3: Find the parametric and symmetric equations of the line passing through the…

A:

Q: Which of the following equations is(are) true? 1 2x du I. -dx x² + 1 S 5.² o √u √2 1 2x II. -dx 10…

A: Given: I=∫012xx2+1dx   ...1

Q: Problem 6. A cylindrical container with a diameter of 3 meters is being filled with water. The water…

A:

Q: Determine whether lim cos F→0 exists, or not.

A:

Q: 1) Solve a) log(x+4)=1 b) log, (2x-3)=2

A: Given problems :- log(x+4)=1  log5(2x-3)=2

Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

A: Cylindrical shell Method : Let g(y) be a continuous function and non negative .Define Q be the…

Q: Step 1: Step 2: Step 3: Step 4: +1 tan² z sin²2 +1 cos² z sin²zcos² z + cos² z cos² z (sin²z +…

A:

Q: -) Consider the sequence 1, - Determine tg- 128 2187 64 b) 79 33-80 27' 128 2187 64 79

A: Above question is solved.

Q: Consider the region R bounded by y = Arctanx, x = 1, and the x -axis. Suppose that R has its…

A:

Q: Let f(x) = 1 + x² and g(x)=√x + 2. Find the following limit: lim(1(z)) g A) 4 B) √7. C) 2 O D) 5 O…

A: Given problem:-

Q: Find the difference of place value of 5 in the number 2,53,459??

A:

Q: 8. Evaluate: fdx a. x + x+In+C b. In(x²-1) + C C. x + tan ¹x + C d. 1+In+C x-1

A:

Q: A body was found in the basement of the Underwater Basket Weaving Building at 12:00 noon today,…

A: We need to find time.

Q: 2

A: We will solve the problem

Q: The figure below plots the bioluminescence model photon emission rate curve R(t) = At² exp(-Bt),…

A: Here is the solution of the given problem.  we use here Trapezoidal Rule of estimation:

Q: Find the volume of the solid generated by revolving the region about the given line. The region in…

A:

Q: Solve for x sin (log2 (13x² + 16x34) = y

A:

Q: Part III. Evaluate the following. Justify each step if necessary. 1. If F(x)= [mm (8-) √²+3 dr. F'…

A: Let's solve diffrential of integration.

Q: 10. An object has a constant acceleration of -42 ft /s², an initial velocity of 5 ft/s, and an…

A:

Q: The polar equation 9 cos 0 + 2 sin 0 = X + 1 9x + 2y 1 9y + 2x = 1 9x + 2y = x² + y² || || 1 - r in…

A: To find  the cartesian form of the given polar equation.

Q: nd an equation of the tangent plane to the given surface at the specified point. z = 4x² - y² + 4y,…

A: Topic:- application of derivatives

Q: Find the arc length of the curve y In(cosa) from = 0 to 2/4.

A:

Q: what is the basic concept of a limit? How is a limit calculated? What techniques/rules have you been…

A:

Q: Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain…

A: Graph of the function is given, we have to find its asymptotes and domain

Q: 5. Two lines have equations: L₁: x = 3t + 1, y = 3, z = −t + 2, teR and L₂: x = 2s +3, y = −s + 1, z…

A:

Q: 19. Consider the integral f√x²+25 dx. 9x² a. In/√x² + 25 +x/- - b. x+ In/√x² + 25/+ √x²+25 9x √x²+25…

A: Solve the integral  √(x2+25)/9x2

Q: ƒ (₂) If lim fx x-0 = L then which of the following must be true?

A:

Q: 2. Find the differential equations by eliminating the arbitrary constants of a) y = C₁x + 2² b) y ex…

A:

Q: 1. The graph of y=sin z is transformed so that the transformed image has a period of 4m and a phase…

A: Given problem:- The graph of y = sin x is transformed so that the transformed image has a period of…

Q: Use the table of integrals to evaluate the integral. (Remember to use absolute values where…

A: ∫3 sec5(x) dx=3∫sec5(x) dxApply reduction formula: ∫secn(x) dx=n-2n-1∫secn-2(x) dx+secn-2(x)…

Q: 4. Given f'(1) = 4, g'(1) =— 2, ƒ(1) = 1, g(1) = 1, find h'(1) if h(x) = xg(x)+7 f(x)

A: Using definition if derivative of f/g

Q: Integrate by substitution. 2 [x²(x³ +5) dx

A: Given query is to find the integral using substitution.

Q: A 30-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: We have to find the limit.

Q: 1. what is the basic concept of a derivative? How is this derivat calculated? What techniques/ have…

A: Topic:- calculus

Q: Find (fog)(x) and (gof)(x), given that f(x)=8x +9 and g(x)=7x-1. (fog)(x)= (Simplify your answer.)…

A: Topic:- function

Q: Choice

A: Please refer to the image below

Q: f(x) = -3 cos (+)-2

A:

Q: 1. Find the equation of the tangent line to f(x) = (x-1)² 3 (x+1) when x = 2.

A:

Q: Let a b de f A = ghi. Assume that det(A) = -11, compute the following. NOTE: Enter all values…

A: Given :A=abcdefghidet(A)=-11

Q: If the following equality is known to be true: -Ax + B x² - 2x - 3 What are the values of the…

A: see below the answer and calculation

Q: Q2: Find a general solution of the differential equation (D² + 6D +13)y= 10e³- 16e using the…

A: Concept: The general solution of the given differential equation is given by  y=C.F+P.I Here C.F is…

Q: 13. Given - 5x + 5z = a. (-5, 5, 2) 2, the normal of the plane is: b. (7, 7, 0) c. (-5, 0, 5) d.…

A:

Q: Prove that sin²x x cos²x x= csc²x-cot²x 4csc²2x

A: This is a problem related to trigonometric identity. Based on the general formula and concept we…

Q: 3 2s² (s²+5)) Find L 4 transformation. by using the properties of inverse Laplace

A: We have to find the inverse laplace.

Q: product

A: We will solve the problem.

Q: What is the domain of the function f(x)= |x|? 0 (-∞,∞0) ○ (0,∞) 0 (-∞,0) ○ [0, ∞)

A: We need to find domain of given function.

Q: method included 1. U- substitution 2. Trig techniques 3. Trio Substitution 4. Parts, 5. Partial…

A:

Q: Evaluate the line integral, where C is the giv z² dx + x² dy + y² dz, C is the C

A: See the details solution in below

Q: Find the volume of the indicated region. the region that lies under the paraboloid z = x² + y2 and…

A: To find the volume of the given region.

Q: Evaluate the following integral using trigonometric substitution. 36x² - 49 7 S² dx, x> 3 x³ 2 √36x²…

A: