Use the substitution u = :) 2x to evaluate dx 4x² +1

Q: Use the Ratio Test to determine whether the series converges absolutely or diverges. 8 Σ k=1 3k² 7k…

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Q: 10. Which of the following is FALSE about the parabola for the function f(x) = (x + 2)² − 6 a) The…

A: The given parabola function fx=23x+22-6 The general parabola equation y=ax-h2+k where, h,k be the…

Q: If f(x) Files = Time left 0:5 sin²x and g(x) = 1 + cos²x, how are f'(x) and g'(x) related? Maximum…

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Q: ex 1₁-0² (1 - e²x) a. 3 b. C. ex VI d. √1 G ex ex 3 2 5 ² ( + 2 1-e(2x) 2 5 dx e2x In 1-e2|+C e2 + C…

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 92n an = n! (Use…

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Q: 56. 1 dx V1+9x2

A: Given, ∫dx1+9x2

Q: Use the matrices below to perform matrix multiplication. B= 37 4 -9 0 12 If the operation is…

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Q: If fa rsin xd a. -6 b 6312 C. 6 d - 3 2 = -x³ cos x + 3x² sin x + k fx x sin xdx, find k

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Q: Determine the type of function shown in the graph below. a) Polynomial function Ob) Rational…

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Q: 1. Express the following equation in vertex form: y coordinates of the vertex point. 2 = 3x² 12x +…

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Q: 15 Lo - - dx 15 X (x + 1) ²/ O 0 O or| 800 88 O 1 O 176 5

A: The answer is 0.

Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled…

A: Given: The depth function: D(t) = 2sinπ4t+5π4+5 Depth is changing at 6 a.m. t = 6

Q: For the function ƒ(x) = x² – 11, find the equation of the tangent line at å = −12.

A: Given function f(x)=x2-11 We have to find the equation of tangent line at x=-12 Derivative of a…

Q: functions f (x) = 2 and g(x) = 1 (i) Consider the (a) Write down the domains of the functions f (x)…

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Q: b) y = (e² + √cos x) c) y = |l−tanx 3x³

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Q: Find the Riemann sum for f(x) = x² + 3x over the interval [0, 8] (see figure), where x₁ = 0, x₁ = 1,…

A: The given function fx=x2+3x over the interval 0,8 with x0=0, x1=1, x2=3, x3=7 and x4=8 Riemann sum:…

Q: If what does the following integral equal? 4 1₂ 3 h(v)dv= 9 [h(v)dv = 15 - 3 and 9 Ione h(v)dv= = =…

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Q: Determine the type of function shown in the graph below. a) Linear function b) Quadratic function c)…

A: Here we have to choose the correct option.

Q: What is the slope of the the tangent line to y=1/x^5+−1/x^3 at x=1?

A: Given y=1x5+-1x3 and x=1

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n - 00. n -£ (+ + -)…

A: The given sum is limn→∞∑i=1n4+in8n use the Riemann integral formula, limn→∞1n∑i=1nfin=∫01f(x)dx use…

Q: 8. Simplify 2√80-7√20 a) — 6√5 b) 90 c) 5√22 d) 22√5

A: Concept: Square root: The symbol for a number's square root is n. The outcome of multiplying or…

Q: 6. Which of the following expresses (3√32 + √√8 ) in simplest form ? a) 3√40 b) 6√10 c) 3√2 d) 14√2

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Q: Determine the type of function shown in the graph below.

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: Find the area of the surface. The part of the plane 3x+2y+z=6 that lies inside the cylinder x² + y²…

A: Since, the equation of the cylinder is x2+y2=4 and  3x+2y+z=6⇒z=6-3x-2yParameterize the surface of…

Q: QUESTION 4 Given the following function, find the values of f (5,2). x f(x,y) = 5 + xln(xy-9) O A.…

A: We can answer the question as below.

Q: i cant understand this cuz it type

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Q: U V U a) f(x) = sin x The trigonometric function pictured here is b) f(x) = csc x O c) f(x) = sec x…

A: we need to find which trigonometry function has the following graph

Q: Cliff left point A at 8:00 A.M. walking east at 3 kph. Renz left point A at 9:00 A.M. walking north…

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Q: Consider the region R bounded by the functions f(x) = 3x and g(x) a. (4,2) b. (4,1) c. (22², ²) C.…

A: Region R is bounded by the functions f(x)=3x, g(x)=x2+2 Their intersection points…

Q: The area of the région bounded by the curves f(x) = x² + 1 and g(x) = 2x + 1 is best described by:…

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Q: Write the interval in set notation. [2, 6) {x | 2 < x ≤ 6} {x | 2 ≤ x < 6}   {x | 2 ≤ x ≤ 6} {x | 2…

A: Write the interval in set notation. [2, 6) {x | 2 &lt; x ≤ 6} {x | 2 ≤ x &lt; 6}   {x | 2 ≤ x ≤ 6}…

Q: Find la da without using the Fundamental Theorem of Calculus.

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Q: The normal vector of x+2y-1-0 (0, 2) (2, -1) (1, 2) O (1, -1)

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Q: ve passes through the point (0, 9) and has the property that the slope of the curve at every point P…

A: Topic:- application of integration

Q: Find the following using the table below. X 1 2 3 4 2 f(x) 3 4 1 ƒ'(x) 2 1 4 3 g(x) 1 4 3 2 g'(x) 1…

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Q: Use summation properties and formulas to rewrite and evaluate the sum. 31 Σ [(3i)² – 6i] - i=1

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Q: Let y = tan(2x + 2). Find the differential dy when z = 5 and dr = 0.2 Find the differential dy when…

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Q: Question 7 (1 point) ✓ Saved The point (1, 2, 4) is on the line 2+³ = 1+4 = 25 True False

A: We have given equation of the line x+35=y+44=z+53 Put x=1,y=2,z=4 1+35=45 Similarly, 2+44=64=32…

Q: y = -x³ + 9x² - 3 concave upward concave downward Submit Answer x0

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Q: (2y + √y sin x) dx + xdy = 0

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Q: The function f is graphed below. State the values that fulfill the following requirements. If there…

A: Please see the below picture.

Q: Test Σ n 1 2" n! for convergence

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Q: Cliff left point A at 8:00 A.M. walking east at 3 kph. Renz left point A at 9:00 A.M. walking north…

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Q: Calculate r' (t) and T(t), where T'(t) = ( T(t) = { r(t) = (8+t, (9+t), 2+2t). ).

A: Given vector function r(t)=8+t, -9-t, 2+2t

Q: If √x + √y = 12 and y(1) = 121, find y'(1) by implicit differentiation.

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Q: Find two positive numbers that satisfy the given requirements. The second number is the reciprocal…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 8 y = 2√x + 4 dx *- (√x +++1)x dy…

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Q: −5x – 5, f(x) = 2x² + 2x - 1, x < -1 x ≥ −1

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Q: 7rer dr =

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