10 -10 --5 5. 10 -5 -10 The graph of a piecewise function, f(x), is depicted above. Find its equation: 1 for x <= -7 for <= f(x) = for x >= > EX 2. >

Q: Evaluate the integral f SRry dA, where R is the triangle x + y 0, y > 0. NOTE: Enter the exact…

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Q: F- dr in the case when F(z,y) = (7y -sin (y) + 8) i+ (72 - cos (y))jis conservative, and Ais the…

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Q: Write the partial fraction decomposition of the rational expression. Check your result…

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Q: The Cartesian equation, x = 4, is equivalent to the polar equation, 1 = 4 cose 4 r = cose 43 r =…

A: Answer is in step 2.

Q: Find the parametrization for the line through (-4,9) and (8, 13). (Use symbolic notation and…

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Q: QUESTION 2 Assume that the linear cost and revenue models apply. An item costs $2 to make, If fixed…

A: Solution: According to the linear model, R(x) =mx +b Total Cost = $6000 + (2*400) = $14000 Profit =…

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Q: Solve the system of linear equations and check any solution algebraically. 3x +3y = 0 6x + 3y – z =…

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Q: 9. Given that u = (1,5) and v = (-2,3), determine the following %3D -3u – 4v =

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Q: b- Lim (3x³+x²-2/x²+x-2x³+1)

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Q: ôt)i+ 8 sin(6t)j + 7tk

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Q: Consider the following. -x2 – 4 f(x) = (a) State the domain of the function. all real numbers x…

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Q: Select all that apply. Complete the general solution to y = arcsin -3. y = _+2k 3 5л O O O

A: Solving

Q: ah4.

A: answer is in next step

Q: /13 3 Find the first four terms of the binomial series for the function (1+ 2x)°. The first term is

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Q: The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x = a is…

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Q: 4. tan³x sec*x dx. Use trigonometric groups

A: To evaluate the value of: I=∫0π4tan5x sec4x dx=∫0π4tan5x sec2x sec2x dx=∫0π4tan5x(1+ tan2x) sec2x dx

Q: 1. y = x° + x

A: answer is in next step

Q: x³ sin (x²) dx is evaluated using IBP, the value of v du When A 2 sin (x2) -2 sin (x2) none of the…

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Q: Determine whether the series is convergent or divergent by expressing the nth partial sum s, as a…

A: Expressing terms as a telescoping sum:∑n=4∞ 8n2-14∑n=4∞ 2(n+1)(n-1)4∑n=4∞ 1n-1-1n+1∑n=4∞…

Q: S(2) = - – 4x – 2 a) Determine the intervals on which f is concave up and concave down. f is concave…

A: Note:- This is multiple sub parts question and according to our company guideline we can do maximum…

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 XV x4 dx - 16

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Q: x² sin 2x dx

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Q: The following situation can be described by a linear function. Draw a graph of the function and use…

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Q: F(6)=-7 dad f16)=5 %3D d Jox" - 6x - lo Jx F(x)

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Q: Use quadratic formula to find all the real zeroes of the 2nd degree polynomials 6x²-x-1

A: The given polynomial,      6x2-x-1

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dx xV 16x2 – 1

A: Solve the  intregal

Q: Write the following first-order differential equations in simplified standard form. dy (5х + 3)у +…

A: We have to write the given first order differential equation in standard form .

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Q: Solve for fxx, fyy, fxy, and fyx. f(x, y) = 27x√(3y) + 27y√(3x)

A: We want to find the partial differential.

Q: to scle A and muscle B are attached to a bone as indicated in the figure below. Muscle A exerts a ce…

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Q: dy = y + Vx² + y² dr Find the general solution of x-

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Q: r(1) = 2 Ans: In + = de II

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Q: tanx sec*x dx. Use trigonometric groups.

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Q: Using u = 2 + 2x*, then the integral x³(2 + 2x4)3 dx becomes 1 u3 du- 8 This evaluates as 1 1 8 12

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Q: 1

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (1,…

A: Distance from a point  (x0,y0,z0)  to the plane ax+by+cz+d=0 is given by    ax0+by0+cz0+da2+b2+c2…

Q: 2 sin (arcsin 0) = _____. -2 0 2 90

A: sin(sin-1x)=x  only when x∈ -π2, π2x=0 ∈  -π2, π2

Q: 9 Simplify arcsin(cos 35). 35° 55° no solution

A: Given problem:- Simplify arcsin(cos 35).

Q: 3.12 Еxpress lim n00 n k3D cos 1+ as an integral. (Be sure to include the lower and upper limits|of…

A: Given: limn→∞ 2n∑k=1ncos1+2kn To convert this into the integral , use the following method

Q: Suppose that '(t) and F(0) . Find 7(t) F(t) = <

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Q: 1. A force of 1000 pounds is acting on an object at an ang of 500 pounds is acting at an angle of…

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Q: Select from the items the one that corresponds to a correct step of the procedure to solve the…

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Q: Find f. f "'(x) = cos(x), f(0) = 8, f '(0) = 8, f(x) =

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Q: du is? x³ sin (x?) dx is evaluated using IBP, the value of v du When A sin (x2) 2 B none of the…

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Q: What would be the shape of the graphr= 2 cos 0, given that 0 = 0, 7, 5, ? semi-circle in the first…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Given the vector-valued functions - 4t ü(t) = e-i+ e-j – tk ö(t) = tỉ – 4tºj + 3k -21 %3D (i(t) ·…

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Q: Fnd the gradent vector feld o S(2,9) = VEz+ y. Provide your answer below

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Q: 3. Determine the differential coefficient of y 2x- 3 when x = 3 Give the answer correct to 3…

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